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system</title> <meta name="description" content="Search results for: optimal system"> <meta name="keywords" content="optimal system"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="optimal system"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 19741</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: optimal system</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19741</span> Optimal Scheduling for Energy Storage System Considering Reliability Constraints</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wook-Won%20Kim">Wook-Won Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Je-Seok%20Shin"> Je-Seok Shin</a>, <a href="https://publications.waset.org/abstracts/search?q=Jin-O%20Kim"> Jin-O Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper propose the method for optimal scheduling for battery energy storage system with reliability constraint of energy storage system in reliability aspect. The optimal scheduling problem is solved by dynamic programming with proposed transition matrix. Proposed optimal scheduling method guarantees the minimum fuel cost within specific reliability constraint. For evaluating proposed method, the timely capacity outage probability table (COPT) is used that is calculated by convolution of probability mass function of each generator. This study shows the result of optimal schedule of energy storage system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=energy%20storage%20system%20%28ESS%29" title="energy storage system (ESS)">energy storage system (ESS)</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20scheduling" title=" optimal scheduling"> optimal scheduling</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20programming" title=" dynamic programming"> dynamic programming</a>, <a href="https://publications.waset.org/abstracts/search?q=reliability%20constraints" title=" reliability constraints"> reliability constraints</a> </p> <a href="https://publications.waset.org/abstracts/39373/optimal-scheduling-for-energy-storage-system-considering-reliability-constraints" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39373.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">406</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19740</span> Optimal Location of the I/O Point in the Parking System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jing%20Zhang">Jing Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jie%20Chen"> Jie Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we deal with the optimal I/O point location in an automated parking system. In this system, the S/R machine (storage and retrieve machine) travels independently in vertical and horizontal directions. Based on the characteristics of the parking system and the basic principle of AS/RS system (Automated Storage and Retrieval System), we obtain the continuous model in units of time. For the single command cycle using the randomized storage policy, we calculate the probability density function for the system travel time and thus we develop the travel time model. And we confirm that the travel time model shows a good performance by comparing with discrete case. Finally in this part, we establish the optimal model by minimizing the expected travel time model and it is shown that the optimal location of the I/O point is located at the middle of the left-hand above corner. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parking%20system" title="parking system">parking system</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20location" title=" optimal location"> optimal location</a>, <a href="https://publications.waset.org/abstracts/search?q=response%20time" title=" response time"> response time</a>, <a href="https://publications.waset.org/abstracts/search?q=S%2FR%20machine" title=" S/R machine"> S/R machine</a> </p> <a href="https://publications.waset.org/abstracts/73138/optimal-location-of-the-io-point-in-the-parking-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/73138.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">409</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19739</span> Optimal Implementation of Photovoltaic Water Pumping System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sarah%20Abdourraziq">Sarah Abdourraziq</a> </p> <p class="card-text"><strong>Abstract:</strong></p> To improve the efficiency of photovoltaic pumping system, more attention has been paid to their setting up. This paper presents an optimal technique to establish an efficient system under different conditions of irradiance and temperature. The state of place should be carefully studied before stage of installation of the over system: local climate, boreholes, soil, crops and water resources. The studied system consists of a PV panel, a DC-DC boost converter, a DC motor-pump, and storage tank. The concepts shown in this paper presents a support for an optimal installation of each solar pump. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=photovoltaic%20pumping%20system" title="photovoltaic pumping system">photovoltaic pumping system</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20implementation" title=" optimal implementation"> optimal implementation</a>, <a href="https://publications.waset.org/abstracts/search?q=boost%20converter" title=" boost converter"> boost converter</a>, <a href="https://publications.waset.org/abstracts/search?q=motor-pump" title=" motor-pump"> motor-pump</a> </p> <a href="https://publications.waset.org/abstracts/59913/optimal-implementation-of-photovoltaic-water-pumping-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59913.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">351</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19738</span> Synchronization of Chaotic T-System via Optimal Control as an Adaptive Controller</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Kheiri">Hossein Kheiri</a>, <a href="https://publications.waset.org/abstracts/search?q=Bashir%20Naderi"> Bashir Naderi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamad%20Reza%20Niknam"> Mohamad Reza Niknam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we study the optimal synchronization of chaotic T-system with complete uncertain parameter. Optimal control laws and parameter estimation rules are obtained by using Hamilton-Jacobi-Bellman (HJB) technique and Lyapunov stability theorem. The derived control laws are optimal adaptive control and make the states of drive and response systems asymptotically synchronized. Numerical simulation shows the effectiveness and feasibility of the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20stability" title="Lyapunov stability">Lyapunov stability</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization" title=" synchronization"> synchronization</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=adaptive%20control" title=" adaptive control"> adaptive control</a> </p> <a href="https://publications.waset.org/abstracts/8820/synchronization-of-chaotic-t-system-via-optimal-control-as-an-adaptive-controller" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/8820.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">487</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19737</span> Controlled Chemotherapy Strategy Applied to HIV Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shohel%20Ahmed">Shohel Ahmed</a>, <a href="https://publications.waset.org/abstracts/search?q=Md.%20Abdul%20Alim"> Md. Abdul Alim</a>, <a href="https://publications.waset.org/abstracts/search?q=Sumaiya%20Rahman"> Sumaiya Rahman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Optimal control can be helpful to test and compare different vaccination strategies of a certain disease. The mathematical model of HIV we consider here is a set of ordinary differential equations (ODEs) describing the interactions of CD4+T cells of the immune system with the human immunodeficiency virus (HIV). As an early treatment setting, we investigate an optimal chemotherapy strategy where control represents the percentage of effect the chemotherapy has on the system. The aim is to obtain a new optimal chemotherapeutic strategy where an isoperimetric constraint on the chemotherapy supply plays a crucial role. We outline the steps in formulating an optimal control problem, derive optimality conditions and demonstrate numerical results of an optimal control for the model. Numerical results illustrate how such a constraint alters the optimal vaccination schedule and its effect on cell-virus interactions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chemotherapy%20of%20HIV" title="chemotherapy of HIV">chemotherapy of HIV</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control%20involving%20ODEs" title=" optimal control involving ODEs"> optimal control involving ODEs</a>, <a href="https://publications.waset.org/abstracts/search?q=optimality%20conditions" title=" optimality conditions"> optimality conditions</a>, <a href="https://publications.waset.org/abstracts/search?q=Pontryagin%E2%80%99s%20maximum%20principle" title=" Pontryagin’s maximum principle"> Pontryagin’s maximum principle</a> </p> <a href="https://publications.waset.org/abstracts/65162/controlled-chemotherapy-strategy-applied-to-hiv-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/65162.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">330</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19736</span> Multi-Objective Optimal Design of a Cascade Control System for a Class of Underactuated Mechanical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yuekun%20Chen">Yuekun Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Yousef%20Sardahi"> Yousef Sardahi</a>, <a href="https://publications.waset.org/abstracts/search?q=Salam%20Hajjar"> Salam Hajjar</a>, <a href="https://publications.waset.org/abstracts/search?q=Christopher%20Greer"> Christopher Greer</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a multi-objective optimal design of a cascade control system for an underactuated mechanical system. Cascade control structures usually include two control algorithms (inner and outer). To design such a control system properly, the following conflicting objectives should be considered at the same time: 1) the inner closed-loop control must be faster than the outer one, 2) the inner loop should fast reject any disturbance and prevent it from propagating to the outer loop, 3) the controlled system should be insensitive to measurement noise, and 4) the controlled system should be driven by optimal energy. Such a control problem can be formulated as a multi-objective optimization problem such that the optimal trade-offs among these design goals are found. To authors best knowledge, such a problem has not been studied in multi-objective settings so far. In this work, an underactuated mechanical system consisting of a rotary servo motor and a ball and beam is used for the computer simulations, the setup parameters of the inner and outer control systems are tuned by NSGA-II (Non-dominated Sorting Genetic Algorithm), and the dominancy concept is used to find the optimal design points. The solution of this problem is not a single optimal cascade control, but rather a set of optimal cascade controllers (called Pareto set) which represent the optimal trade-offs among the selected design criteria. The function evaluation of the Pareto set is called the Pareto front. The solution set is introduced to the decision-maker who can choose any point to implement. The simulation results in terms of Pareto front and time responses to external signals show the competing nature among the design objectives. The presented study may become the basis for multi-objective optimal design of multi-loop control systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cascade%20control" title="cascade control">cascade control</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-Loop%20control%20systems" title=" multi-Loop control systems"> multi-Loop control systems</a>, <a href="https://publications.waset.org/abstracts/search?q=multiobjective%20optimization" title=" multiobjective optimization"> multiobjective optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a> </p> <a href="https://publications.waset.org/abstracts/113986/multi-objective-optimal-design-of-a-cascade-control-system-for-a-class-of-underactuated-mechanical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113986.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">153</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19735</span> Adaptive Optimal Controller for Uncertain Inverted Pendulum System: A Dynamic Programming Approach for Continuous Time System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dao%20Phuong%20Nam">Dao Phuong Nam</a>, <a href="https://publications.waset.org/abstracts/search?q=Tran%20Van%20Tuyen"> Tran Van Tuyen</a>, <a href="https://publications.waset.org/abstracts/search?q=Do%20Trong%20Tan"> Do Trong Tan</a>, <a href="https://publications.waset.org/abstracts/search?q=Bui%20Minh%20Dinh"> Bui Minh Dinh</a>, <a href="https://publications.waset.org/abstracts/search?q=Nguyen%20Van%20Huong"> Nguyen Van Huong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we investigate the adaptive optimal control law for continuous-time systems with input disturbances and unknown parameters. This paper extends previous works to obtain the robust control law of uncertain systems. Through theoretical analysis, an adaptive dynamic programming (ADP) based optimal control is proposed to stabilize the closed-loop system and ensure the convergence properties of proposed iterative algorithm. Moreover, the global asymptotic stability (GAS) for closed system is also analyzed. The theoretical analysis for continuous-time systems and simulation results demonstrate the performance of the proposed algorithm for an inverted pendulum system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximate%2Fadaptive%20dynamic%20programming" title="approximate/adaptive dynamic programming">approximate/adaptive dynamic programming</a>, <a href="https://publications.waset.org/abstracts/search?q=ADP" title=" ADP"> ADP</a>, <a href="https://publications.waset.org/abstracts/search?q=adaptive%20optimal%20control%20law" title=" adaptive optimal control law"> adaptive optimal control law</a>, <a href="https://publications.waset.org/abstracts/search?q=input%20state%20stability" title=" input state stability"> input state stability</a>, <a href="https://publications.waset.org/abstracts/search?q=ISS" title=" ISS"> ISS</a>, <a href="https://publications.waset.org/abstracts/search?q=inverted%20pendulum" title=" inverted pendulum"> inverted pendulum</a> </p> <a href="https://publications.waset.org/abstracts/80356/adaptive-optimal-controller-for-uncertain-inverted-pendulum-system-a-dynamic-programming-approach-for-continuous-time-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80356.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">194</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19734</span> Optimal Dynamic Economic Load Dispatch Using Artificial Immune System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I.%20A.%20Farhat">I. A. Farhat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The dynamic economic dispatch (DED) problem is one of the complex, constrained optimization problems that have nonlinear, con-convex and non-smooth objective functions. The purpose of the DED is to determine the optimal economic operation of the committed units while meeting the load demand. Associated to this constrained problem there exist highly nonlinear and non-convex practical constraints to be satisfied. Therefore, classical and derivative-based methods are likely not to converge to an optimal or near optimal solution to such a dynamic and large-scale problem. In this paper, an Artificial Immune System technique (AIS) is implemented and applied to solve the DED problem considering the transmission power losses and the valve-point effects in addition to the other operational constraints. To demonstrate the effectiveness of the proposed technique, two case studies are considered. The results obtained using the AIS are compared to those obtained by other methods reported in the literature and found better. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=artificial%20immune%20system" title="artificial immune system">artificial immune system</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20economic%20dispatch" title=" dynamic economic dispatch"> dynamic economic dispatch</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20economic%20operation" title=" optimal economic operation"> optimal economic operation</a>, <a href="https://publications.waset.org/abstracts/search?q=large-scale%20problem" title=" large-scale problem"> large-scale problem</a> </p> <a href="https://publications.waset.org/abstracts/4838/optimal-dynamic-economic-load-dispatch-using-artificial-immune-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4838.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">236</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19733</span> An Inverse Optimal Control Approach for the Nonlinear System Design Using ANN</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20P.%20Nanda%20Kumar">M. P. Nanda Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Dheeraj"> K. Dheeraj</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The design of a feedback controller, so as to minimize a given performance criterion, for a general non-linear dynamical system is difficult; if not impossible. But for a large class of non-linear dynamical systems, the open loop control that minimizes a performance criterion can be obtained using calculus of variations and Pontryagin’s minimum principle. In this paper, the open loop optimal trajectories, that minimizes a given performance measure, is used to train the neural network whose inputs are state variables of non-linear dynamical systems and the open loop optimal control as the desired output. This trained neural network is used as the feedback controller. In other words, attempts are made here to solve the “inverse optimal control problem” by using the state and control trajectories that are optimal in an open loop sense. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=inverse%20optimal%20control" title="inverse optimal control">inverse optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20basis%20function" title=" radial basis function"> radial basis function</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20network" title=" neural network"> neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=controller%20design" title=" controller design"> controller design</a> </p> <a href="https://publications.waset.org/abstracts/9888/an-inverse-optimal-control-approach-for-the-nonlinear-system-design-using-ann" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9888.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">553</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19732</span> Optimal Power Exchange of Multi-Microgrids with Hierarchical Coordination</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Beom-Ryeol%20Choi">Beom-Ryeol Choi</a>, <a href="https://publications.waset.org/abstracts/search?q=Won-Poong%20Lee"> Won-Poong Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Jin-Young%20Choi"> Jin-Young Choi</a>, <a href="https://publications.waset.org/abstracts/search?q=Young-Hak%20Shin"> Young-Hak Shin</a>, <a href="https://publications.waset.org/abstracts/search?q=Dong-Jun%20Won"> Dong-Jun Won</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A Microgrid (MG) has a major role in power system. There are numerous benefits, such as ability to reduce environmental impact and enhance the reliability of a power system. Hence, Multi-MG (MMG) consisted of multiple MGs is being studied intensively. This paper proposes the optimal power exchange of MMG with hierarchical coordination. The whole system architecture consists of two layers: 1) upper layer including MG of MG Center (MoMC) which is in charge of the overall management and coordination and 2) lower layer comprised of several Microgrid-Energy Management Systems (MG-EMSs) which make a decision for own schedule. In order to accomplish the optimal power exchange, the proposed coordination algorithm is applied to MMG system. The objective of this process is to achieve optimal operation for improving economics under the grid-connected operation. The simulation results show how the output of each MG can be changed through coordination algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=microgrids" title="microgrids">microgrids</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-microgrids" title=" multi-microgrids"> multi-microgrids</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20exchange" title=" power exchange"> power exchange</a>, <a href="https://publications.waset.org/abstracts/search?q=hierarchical%20coordination" title=" hierarchical coordination"> hierarchical coordination</a> </p> <a href="https://publications.waset.org/abstracts/72872/optimal-power-exchange-of-multi-microgrids-with-hierarchical-coordination" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72872.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">372</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19731</span> Modeling Intelligent Threats: Case of Continuous Attacks on a Specific Target</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Asma%20Ben%20Yaghlane">Asma Ben Yaghlane</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Naceur%20Azaiez"> Mohamed Naceur Azaiez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we treat a model that falls in the area of protecting targeted systems from intelligent threats including terrorism. We introduce the concept of system survivability, in the context of continuous attacks, as the probability that a system under attack will continue operation up to some fixed time t. We define a constant attack rate (CAR) process as an attack on a targeted system that follows an exponential distribution. We consider the superposition of several CAR processes. From the attacker side, we determine the optimal attack strategy that minimizes the system survivability. We also determine the optimal strengthening strategy that maximizes the system survivability under limited defensive resources. We use operations research techniques to identify optimal strategies of each antagonist. Our results may be used as interesting starting points to develop realistic protection strategies against intentional attacks. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CAR%20processes" title="CAR processes">CAR processes</a>, <a href="https://publications.waset.org/abstracts/search?q=defense%2Fattack%20strategies" title=" defense/attack strategies"> defense/attack strategies</a>, <a href="https://publications.waset.org/abstracts/search?q=exponential%20failure" title=" exponential failure"> exponential failure</a>, <a href="https://publications.waset.org/abstracts/search?q=survivability" title=" survivability"> survivability</a> </p> <a href="https://publications.waset.org/abstracts/83569/modeling-intelligent-threats-case-of-continuous-attacks-on-a-specific-target" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83569.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">395</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19730</span> Overview of Different Approaches Used in Optimal Operation Control of Hybrid Renewable Energy Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20Kusakana">K. Kusakana </a> </p> <p class="card-text"><strong>Abstract:</strong></p> A hybrid energy system is a combination of renewable energy sources with back up, as well as a storage system used to respond to given load energy requirements. Given that the electrical output of each renewable source is fluctuating with changes in weather conditions, and since the load demand also varies with time; one of the main attributes of hybrid systems is to be able to respond to the load demand at any time by optimally controlling each energy source, storage and back-up system. The induced optimization problem is to compute the optimal operation control of the system with the aim of minimizing operation costs while efficiently and reliably responding to the load energy requirement. Current optimization research and development on hybrid systems are mainly focusing on the sizing aspect. Thus, the aim of this paper is to report on the state-of-the-art of optimal operation control of hybrid renewable energy systems. This paper also discusses different challenges encountered, as well as future developments that can help in improving the optimal operation control of hybrid renewable energy systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=renewable%20energies" title="renewable energies">renewable energies</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20systems" title=" hybrid systems"> hybrid systems</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=operation%20control" title=" operation control"> operation control</a> </p> <a href="https://publications.waset.org/abstracts/48787/overview-of-different-approaches-used-in-optimal-operation-control-of-hybrid-renewable-energy-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48787.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">379</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19729</span> Optimal Linear Quadratic Digital Tracker for the Discrete-Time Proper System with an Unknown Disturbance</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jason%20Sheng-Hong%20Tsai">Jason Sheng-Hong Tsai</a>, <a href="https://publications.waset.org/abstracts/search?q=Faezeh%20Ebrahimzadeh"> Faezeh Ebrahimzadeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Min-Ching%20Chung"> Min-Ching Chung</a>, <a href="https://publications.waset.org/abstracts/search?q=Shu-Mei%20Guo"> Shu-Mei Guo</a>, <a href="https://publications.waset.org/abstracts/search?q=Leang-San%20Shieh"> Leang-San Shieh</a>, <a href="https://publications.waset.org/abstracts/search?q=Tzong-Jiy%20Tsai"> Tzong-Jiy Tsai</a>, <a href="https://publications.waset.org/abstracts/search?q=Li%20Wang"> Li Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we first construct a new state and disturbance estimator using discrete-time proportional plus integral observer to estimate the system state and the unknown external disturbance for the discrete-time system with an input-to-output direct-feedthrough term. Then, the generalized optimal linear quadratic digital tracker design is applied to construct a proportional plus integral observer-based tracker for the system with an unknown external disturbance to have a desired tracking performance. Finally, a numerical simulation is given to demonstrate the effectiveness of the new application of our proposed approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-minimum%20phase%20system" title="non-minimum phase system">non-minimum phase system</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20linear%20quadratic%20tracker" title=" optimal linear quadratic tracker"> optimal linear quadratic tracker</a>, <a href="https://publications.waset.org/abstracts/search?q=proportional%20plus%20integral%20observer" title=" proportional plus integral observer"> proportional plus integral observer</a>, <a href="https://publications.waset.org/abstracts/search?q=state%20and%20disturbance%20estimator" title=" state and disturbance estimator"> state and disturbance estimator</a> </p> <a href="https://publications.waset.org/abstracts/41630/optimal-linear-quadratic-digital-tracker-for-the-discrete-time-proper-system-with-an-unknown-disturbance" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41630.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">502</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19728</span> Effects of Compensation on Distribution System Technical Losses </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=B.%20Kekezoglu">B. Kekezoglu</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20Kocatepe"> C. Kocatepe</a>, <a href="https://publications.waset.org/abstracts/search?q=O.%20Arikan"> O. Arikan</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Hacialiefendioglu"> Y. Hacialiefendioglu</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20Ucar"> G. Ucar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> One of the significant problems of energy systems is to supply economic and efficient energy to consumers. Therefore studies has been continued to reduce technical losses in the network. In this paper, the technical losses analyzed for a portion of European side of Istanbul MV distribution network for different compensation scenarios by considering real system and load data and results are presented. Investigated system is modeled with CYME Power Engineering Software and optimal capacity placement has been proposed to minimize losses. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=distribution%20system" title="distribution system">distribution system</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20capacitor%20placement" title=" optimal capacitor placement"> optimal capacitor placement</a>, <a href="https://publications.waset.org/abstracts/search?q=reactive%20power%20compensation" title=" reactive power compensation"> reactive power compensation</a>, <a href="https://publications.waset.org/abstracts/search?q=technical%20losses" title=" technical losses"> technical losses</a> </p> <a href="https://publications.waset.org/abstracts/29818/effects-of-compensation-on-distribution-system-technical-losses" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29818.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">674</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19727</span> Optimal Operation of a Photovoltaic Induction Motor Drive Water Pumping System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nelson%20K.%20Lujara">Nelson K. Lujara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The performance characteristics of a photovoltaic induction motor drive water pumping system with and without maximum power tracker is analyzed and presented. The analysis is done through determination and assessment of critical loss components in the system using computer aided design (CAD) tools for optimal operation of the system. The results can be used to formulate a well-calibrated computer aided design package of photovoltaic water pumping systems based on the induction motor drive. The results allow the design engineer to pre-determine the flow rate and efficiency of the system to suit particular application. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=photovoltaic" title="photovoltaic">photovoltaic</a>, <a href="https://publications.waset.org/abstracts/search?q=water%20pumping" title=" water pumping"> water pumping</a>, <a href="https://publications.waset.org/abstracts/search?q=losses" title=" losses"> losses</a>, <a href="https://publications.waset.org/abstracts/search?q=induction%20motor" title=" induction motor"> induction motor</a> </p> <a href="https://publications.waset.org/abstracts/45964/optimal-operation-of-a-photovoltaic-induction-motor-drive-water-pumping-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45964.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">302</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19726</span> Digestion Optimization Algorithm: A Novel Bio-Inspired Intelligence for Global Optimization Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Akintayo%20E.%20Akinsunmade">Akintayo E. Akinsunmade</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The digestion optimization algorithm is a novel biological-inspired metaheuristic method for solving complex optimization problems. The algorithm development was inspired by studying the human digestive system. The algorithm mimics the process of food ingestion, breakdown, absorption, and elimination to eﬀectively and eﬃciently search for optimal solutions. This algorithm was tested for optimal solutions on seven diﬀerent types of optimization benchmark functions. The algorithm produced optimal solutions with standard errors, which were compared with the exact solution of the test functions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bio-inspired%20algorithm" title="bio-inspired algorithm">bio-inspired algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=benchmark%20optimization%20functions" title=" benchmark optimization functions"> benchmark optimization functions</a>, <a href="https://publications.waset.org/abstracts/search?q=digestive%20system%20in%20human" title=" digestive system in human"> digestive system in human</a>, <a href="https://publications.waset.org/abstracts/search?q=algorithm%20development" title=" algorithm development"> algorithm development</a> </p> <a href="https://publications.waset.org/abstracts/194133/digestion-optimization-algorithm-a-novel-bio-inspired-intelligence-for-global-optimization-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/194133.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">8</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19725</span> An Optimal Bayesian Maintenance Policy for a Partially Observable System Subject to Two Failure Modes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Akram%20Khaleghei%20Ghosheh%20Balagh">Akram Khaleghei Ghosheh Balagh</a>, <a href="https://publications.waset.org/abstracts/search?q=Viliam%20Makis"> Viliam Makis</a>, <a href="https://publications.waset.org/abstracts/search?q=Leila%20Jafari"> Leila Jafari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a new maintenance model for a partially observable system subject to two failure modes, namely a catastrophic failure and a failure due to the system degradation. The system is subject to condition monitoring and the degradation process is described by a hidden Markov model. A cost-optimal Bayesian control policy is developed for maintaining the system. The control problem is formulated in the semi-Markov decision process framework. An effective computational algorithm is developed and illustrated by a numerical example. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=partially%20observable%20system" title="partially observable system">partially observable system</a>, <a href="https://publications.waset.org/abstracts/search?q=hidden%20Markov%20model" title=" hidden Markov model"> hidden Markov model</a>, <a href="https://publications.waset.org/abstracts/search?q=competing%20risks" title=" competing risks"> competing risks</a>, <a href="https://publications.waset.org/abstracts/search?q=multivariate%20Bayesian%20control" title=" multivariate Bayesian control"> multivariate Bayesian control</a> </p> <a href="https://publications.waset.org/abstracts/12740/an-optimal-bayesian-maintenance-policy-for-a-partially-observable-system-subject-to-two-failure-modes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12740.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">457</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19724</span> A Novel Software Model for Enhancement of System Performance and Security through an Optimal Placement of PMU and FACTS</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20Kiran">R. Kiran</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20R.%20Lakshmikantha"> B. R. Lakshmikantha</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20V.%20Parimala"> R. V. Parimala</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Secure operation of power systems requires monitoring of the system operating conditions. Phasor measurement units (PMU) are the device, which uses synchronized signals from the GPS satellites, and provide the phasors information of voltage and currents at a given substation. The optimal locations for the PMUs must be determined, in order to avoid redundant use of PMUs. The objective of this paper is to make system observable by using minimum number of PMUs & the implementation of stability software at 22OkV grid for on-line estimation of the power system transfer capability based on voltage and thermal limitations and for security monitoring. This software utilizes State Estimator (SE) and synchrophasor PMU data sets for determining the power system operational margin under normal and contingency conditions. This software improves security of transmission system by continuously monitoring operational margin expressed in MW or in bus voltage angles, and alarms the operator if the margin violates a pre-defined threshold. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=state%20estimator%20%28SE%29" title="state estimator (SE)">state estimator (SE)</a>, <a href="https://publications.waset.org/abstracts/search?q=flexible%20ac%20transmission%20systems%20%28FACTS%29" title=" flexible ac transmission systems (FACTS)"> flexible ac transmission systems (FACTS)</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20location" title=" optimal location"> optimal location</a>, <a href="https://publications.waset.org/abstracts/search?q=phasor%20measurement%20units%20%28PMU%29" title=" phasor measurement units (PMU)"> phasor measurement units (PMU)</a> </p> <a href="https://publications.waset.org/abstracts/39366/a-novel-software-model-for-enhancement-of-system-performance-and-security-through-an-optimal-placement-of-pmu-and-facts" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39366.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">409</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19723</span> Optimal Placement of Phasor Measurement Units (PMU) Using Mixed Integer Programming (MIP) for Complete Observability in Power System Network</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Harshith%20Gowda%20K.%20S">Harshith Gowda K. S</a>, <a href="https://publications.waset.org/abstracts/search?q=Tejaskumar%20N"> Tejaskumar N</a>, <a href="https://publications.waset.org/abstracts/search?q=Shubhanga%20R.%20B"> Shubhanga R. B</a>, <a href="https://publications.waset.org/abstracts/search?q=Gowtham%20N"> Gowtham N</a>, <a href="https://publications.waset.org/abstracts/search?q=Deekshith%20Gowda%20H.%20S"> Deekshith Gowda H. S</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Phasor measurement units (PMU) are playing an important role in the current power system for state estimation. It is necessary to have complete observability of the power system while minimizing the cost. For this purpose, the optimal location of the phasor measurement units in the power system is essential. In a bus system, zero injection buses need to be evaluated to minimize the number of PMUs. In this paper, the optimization problem is formulated using mixed integer programming to obtain the optimal location of the PMUs with increased observability. The formulation consists of with and without zero injection bus as constraints. The formulated problem is simulated using a CPLEX solver in the GAMS software package. The proposed method is tested on IEEE 30, IEEE 39, IEEE 57, and IEEE 118 bus systems. The results obtained show that the number of PMUs required is minimal with increased observability. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=PMU" title="PMU">PMU</a>, <a href="https://publications.waset.org/abstracts/search?q=observability" title=" observability"> observability</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20integer%20programming%20%28MIP%29" title=" mixed integer programming (MIP)"> mixed integer programming (MIP)</a>, <a href="https://publications.waset.org/abstracts/search?q=zero%20injection%20buses%20%28ZIB%29" title=" zero injection buses (ZIB)"> zero injection buses (ZIB)</a> </p> <a href="https://publications.waset.org/abstracts/143686/optimal-placement-of-phasor-measurement-units-pmu-using-mixed-integer-programming-mip-for-complete-observability-in-power-system-network" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/143686.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">165</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19722</span> Multi Objective Near-Optimal Trajectory Planning of Mobile Robot </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amar%20Khoukhi">Amar Khoukhi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Shahab"> Mohamed Shahab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the optimal control problem of mobile robot motion as a nonlinear programming problem (NLP) and solved using a direct method of numerical optimal control. The NLP is initialized with a B-Spline for which node locations are optimized using a genetic search. The system acceleration inputs and sampling periods are considered as optimization variables. Different scenarios with different objectives weights are implemented and investigated. Interesting results are found in terms of complying with the expected behavior of a mobile robot system and time-energy minimization. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=multi-objective%20control" title="multi-objective control">multi-objective control</a>, <a href="https://publications.waset.org/abstracts/search?q=non-holonomic%20systems" title=" non-holonomic systems"> non-holonomic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=mobile%20robots" title=" mobile robots"> mobile robots</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20programming" title=" nonlinear programming"> nonlinear programming</a>, <a href="https://publications.waset.org/abstracts/search?q=motion%20planning" title=" motion planning"> motion planning</a>, <a href="https://publications.waset.org/abstracts/search?q=B-spline" title=" B-spline"> B-spline</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm" title=" genetic algorithm"> genetic algorithm</a> </p> <a href="https://publications.waset.org/abstracts/14286/multi-objective-near-optimal-trajectory-planning-of-mobile-robot" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14286.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">369</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19721</span> Optimal Tracking Control of a Hydroelectric Power Plant Incorporating Neural Forecasting for Uncertain Input Disturbances</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Marlene%20Perez%20Villalpando">Marlene Perez Villalpando</a>, <a href="https://publications.waset.org/abstracts/search?q=Kelly%20Joel%20Gurubel%20Tun"> Kelly Joel Gurubel Tun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we propose an optimal control strategy for a hydroelectric power plant subject to input disturbances like meteorological phenomena. The engineering characteristics of the system are described by a nonlinear model. The random availability of renewable sources is predicted by a high-order neural network trained with an extended Kalman filter, whereas the power generation is regulated by the optimal control law. The main advantage of the system is the stabilization of the amount of power generated in the plant. A control supervisor maintains stability and availability in hydropower reservoirs water levels for power generation. The proposed approach demonstrated a good performance to stabilize the reservoir level and the power generation along their desired trajectories in the presence of disturbances. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hydropower" title="hydropower">hydropower</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20order%20neural%20network" title=" high order neural network"> high order neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=Kalman%20filter" title=" Kalman filter"> Kalman filter</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a> </p> <a href="https://publications.waset.org/abstracts/132201/optimal-tracking-control-of-a-hydroelectric-power-plant-incorporating-neural-forecasting-for-uncertain-input-disturbances" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/132201.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">298</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19720</span> A Stokes Optimal Control Model of Determining Cellular Interaction Forces during Gastrulation </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yuanhao%20Gao">Yuanhao Gao</a>, <a href="https://publications.waset.org/abstracts/search?q=Ping%20%20Lin"> Ping Lin</a>, <a href="https://publications.waset.org/abstracts/search?q=Kees%20Weijer"> Kees Weijer</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An optimal control system model is proposed for the cell flow in the process of chick embryo gastrulation in this paper. The target is to determine the cellular interaction forces which are hard to measure. This paper will take an approach to investigate the forces with the idea of the inverse problem. By choosing the forces as the control variable and regarding the cell flow as Stokes fluid, an objective functional will be established to match the numerical result of cell velocity with the experimental data. So that the forces could be determined by minimizing the objective functional. The Lagrange multiplier method is utilized to derive the state and adjoint equations consisting the optimal control system, which specifies the first-order necessary conditions. Finite element method is used to discretize and approximate equations. A conjugate gradient algorithm is given for solving the minimum solution of the system and determine the forces. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optimal%20control%20model" title="optimal control model">optimal control model</a>, <a href="https://publications.waset.org/abstracts/search?q=Stokes%20equation" title=" Stokes equation"> Stokes equation</a>, <a href="https://publications.waset.org/abstracts/search?q=conjugate%20gradient%20method" title=" conjugate gradient method"> conjugate gradient method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=chick%20embryo%20gastrulation" title=" chick embryo gastrulation"> chick embryo gastrulation</a> </p> <a href="https://publications.waset.org/abstracts/52434/a-stokes-optimal-control-model-of-determining-cellular-interaction-forces-during-gastrulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52434.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">259</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19719</span> Determination of the Minimum Time and the Optimal Trajectory of a Moving Robot Using Picard's Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abbes%20Lounis">Abbes Lounis</a>, <a href="https://publications.waset.org/abstracts/search?q=Kahina%20Louadj"> Kahina Louadj</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Aidene"> Mohamed Aidene</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an optimal control problem applied to a robot; the problem is to determine a command which makes it possible to reach a final state from a given initial state in record time. The approach followed to solve this optimization problem with constraints on the control starts by presenting the equations of motion of the dynamic system then by applying Pontryagin's maximum principle (PMP) to determine the optimal control, and Picard's successive approximation method combined with the shooting method to solve the resulting differential system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=robotics" title="robotics">robotics</a>, <a href="https://publications.waset.org/abstracts/search?q=Pontryagin%27s%20Maximum%20Principle" title=" Pontryagin's Maximum Principle"> Pontryagin's Maximum Principle</a>, <a href="https://publications.waset.org/abstracts/search?q=PMP" title=" PMP"> PMP</a>, <a href="https://publications.waset.org/abstracts/search?q=Picard%27s%20method" title=" Picard's method"> Picard's method</a>, <a href="https://publications.waset.org/abstracts/search?q=shooting%20method" title=" shooting method"> shooting method</a>, <a href="https://publications.waset.org/abstracts/search?q=non-linear%20differential%20systems" title=" non-linear differential systems"> non-linear differential systems</a> </p> <a href="https://publications.waset.org/abstracts/130157/determination-of-the-minimum-time-and-the-optimal-trajectory-of-a-moving-robot-using-picards-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/130157.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19718</span> Analysis on Prediction Models of TBM Performance and Selection of Optimal Input Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hang%20Lo%20Lee">Hang Lo Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Ki%20Il%20Song"> Ki Il Song</a>, <a href="https://publications.waset.org/abstracts/search?q=Hee%20Hwan%20Ryu"> Hee Hwan Ryu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An accurate prediction of TBM(Tunnel Boring Machine) performance is very difficult for reliable estimation of the construction period and cost in preconstruction stage. For this purpose, the aim of this study is to analyze the evaluation process of various prediction models published since 2000 for TBM performance, and to select the optimal input parameters for the prediction model. A classification system of TBM performance prediction model and applied methodology are proposed in this research. Input and output parameters applied for prediction models are also represented. Based on these results, a statistical analysis is performed using the collected data from shield TBM tunnel in South Korea. By performing a simple regression and residual analysis utilizinFg statistical program, R, the optimal input parameters are selected. These results are expected to be used for development of prediction model of TBM performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=TBM%20performance%20prediction%20model" title="TBM performance prediction model">TBM performance prediction model</a>, <a href="https://publications.waset.org/abstracts/search?q=classification%20system" title=" classification system"> classification system</a>, <a href="https://publications.waset.org/abstracts/search?q=simple%20regression%20analysis" title=" simple regression analysis"> simple regression analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=residual%20analysis" title=" residual analysis"> residual analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20input%20parameters" title=" optimal input parameters"> optimal input parameters</a> </p> <a href="https://publications.waset.org/abstracts/52738/analysis-on-prediction-models-of-tbm-performance-and-selection-of-optimal-input-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52738.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">309</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19717</span> Optimal Reactive Power Dispatch under Various Contingency Conditions Using Whale Optimization Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khaled%20Ben%20Oualid%20Medani">Khaled Ben Oualid Medani</a>, <a href="https://publications.waset.org/abstracts/search?q=Samir%20Sayah"> Samir Sayah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Optimal Reactive Power Dispatch (ORPD) problem has been solved and analysed usually in the normal conditions. However, network collapses appear in contingency conditions. In this paper, ORPD under several contingencies is presented using the proposed method WOA. To ensure viability of the power system in contingency conditions, several critical cases are simulated in order to prevent and prepare the power system to face such situations. The results obtained are carried out in IEEE 30 bus test system for the solution of ORPD problem in which control of bus voltages, tap position of transformers and reactive power sources are involved. Moreover, another method, namely, Particle Swarm Optimization with Time Varying Acceleration Coefficient (PSO-TVAC) has been compared with the proposed technique. Simulation results indicate that the proposed WOA gives remarkable solution in terms of effectiveness in case of outages. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optimal%20reactive%20power%20dispatch" title="optimal reactive power dispatch">optimal reactive power dispatch</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20system%20analysis" title=" power system analysis"> power system analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=real%20power%20loss%20minimization" title=" real power loss minimization"> real power loss minimization</a>, <a href="https://publications.waset.org/abstracts/search?q=contingency%20condition" title=" contingency condition"> contingency condition</a>, <a href="https://publications.waset.org/abstracts/search?q=metaheuristic%20technique" title=" metaheuristic technique"> metaheuristic technique</a>, <a href="https://publications.waset.org/abstracts/search?q=whale%20optimization%20algorithm" title=" whale optimization algorithm"> whale optimization algorithm</a> </p> <a href="https://publications.waset.org/abstracts/104814/optimal-reactive-power-dispatch-under-various-contingency-conditions-using-whale-optimization-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/104814.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">121</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19716</span> Design and Implementation Guidance System of Guided Rocket RKX-200 Using Optimal Guidance Law</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amalia%20Sholihati">Amalia Sholihati</a>, <a href="https://publications.waset.org/abstracts/search?q=Bambang%20Riyanto%20Trilaksono"> Bambang Riyanto Trilaksono</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As an island nation, is a necessity for the Republic of Indonesia to have a capable military defense on land, sea or air that the development of military weapons such as rockets for air defense becomes very important. RKX rocket-200 is one of the guided missiles which are developed by consortium Indonesia and coordinated by LAPAN that serve to intercept the target. RKX-200 is designed to have the speed of Mach 0.5-0.9. RKX rocket-200 belongs to the category two-stage rocket that control is carried out on the second stage when the rocket has separated from the booster. The requirement for better performance to intercept missiles with higher maneuverability continues to push optimal guidance law development, which is derived from non-linear equations. This research focused on the design and implementation of a guidance system based OGL on the rocket RKX-200 while considering the limitation of rockets such as aerodynamic rocket and actuator. Guided missile control system has three main parts, namely, guidance system, navigation system and autopilot systems. As for other parts such as navigation systems and other supporting simulated on MATLAB based on the results of previous studies. In addition to using the MATLAB simulation also conducted testing with hardware-based ARM TWR-K60D100M conjunction with a navigation system and nonlinear models in MATLAB using Hardware-in-the-Loop Simulation (HILS). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=RKX-200" title="RKX-200">RKX-200</a>, <a href="https://publications.waset.org/abstracts/search?q=guidance%20system" title=" guidance system"> guidance system</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20guidance%20law" title=" optimal guidance law"> optimal guidance law</a>, <a href="https://publications.waset.org/abstracts/search?q=Hils" title=" Hils"> Hils</a> </p> <a href="https://publications.waset.org/abstracts/57098/design-and-implementation-guidance-system-of-guided-rocket-rkx-200-using-optimal-guidance-law" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/57098.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19715</span> A Teaching Learning Based Optimization for Optimal Design of a Hybrid Energy System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmad%20Rouhani">Ahmad Rouhani</a>, <a href="https://publications.waset.org/abstracts/search?q=Masood%20Jabbari"> Masood Jabbari</a>, <a href="https://publications.waset.org/abstracts/search?q=Sima%20Honarmand"> Sima Honarmand</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper introduces a method to optimal design of a hybrid Wind/Photovoltaic/Fuel cell generation system for a typical domestic load that is not located near the electricity grid. In this configuration the combination of a battery, an electrolyser, and a hydrogen storage tank are used as the energy storage system. The aim of this design is minimization of overall cost of generation scheme over 20 years of operation. The Matlab/Simulink is applied for choosing the appropriate structure and the optimization of system sizing. A teaching learning based optimization is used to optimize the cost function. An overall power management strategy is designed for the proposed system to manage power flows among the different energy sources and the storage unit in the system. The results have been analyzed in terms of technics and economics. The simulation results indicate that the proposed hybrid system would be a feasible solution for stand-alone applications at remote locations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hybrid%20energy%20system" title="hybrid energy system">hybrid energy system</a>, <a href="https://publications.waset.org/abstracts/search?q=optimum%20sizing" title=" optimum sizing"> optimum sizing</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20management" title=" power management"> power management</a>, <a href="https://publications.waset.org/abstracts/search?q=TLBO" title=" TLBO"> TLBO</a> </p> <a href="https://publications.waset.org/abstracts/35285/a-teaching-learning-based-optimization-for-optimal-design-of-a-hybrid-energy-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35285.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">578</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19714</span> Optimal Maintenance Policy for a Three-Unit System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Abbou">A. Abbou</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20Makis"> V. Makis</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Salari"> N. Salari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the condition-based maintenance (CBM) problem of a system subject to stochastic deterioration. The system is composed of three units (or modules): (i) Module 1 deterioration follows a Markov process with two operational states and one failure state. The operational states are partially observable through periodic condition monitoring. (ii) Module 2 deterioration follows a Gamma process with a known failure threshold. The deterioration level of this module is fully observable through periodic inspections. (iii) Only the operating age information is available of Module 3. The lifetime of this module has a general distribution. A CBM policy prescribes when to initiate a maintenance intervention and which modules to repair during intervention. Our objective is to determine the optimal CBM policy minimizing the long-run expected average cost of operating the system. This is achieved by formulating a Markov decision process (MDP) and developing the value iteration algorithm for solving the MDP. We provide numerical examples illustrating the cost-effectiveness of the optimal CBM policy through a comparison with heuristic policies commonly found in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reliability" title="reliability">reliability</a>, <a href="https://publications.waset.org/abstracts/search?q=maintenance%20optimization" title=" maintenance optimization"> maintenance optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=Markov%20decision%20process" title=" Markov decision process"> Markov decision process</a>, <a href="https://publications.waset.org/abstracts/search?q=heuristics" title=" heuristics "> heuristics </a> </p> <a href="https://publications.waset.org/abstracts/84566/optimal-maintenance-policy-for-a-three-unit-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/84566.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">219</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19713</span> Climate Physical Processes Mathematical Modeling for Dome-Like Traditional Residential Building</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Artem%20Sedov">Artem Sedov</a>, <a href="https://publications.waset.org/abstracts/search?q=Aigerim%20Uyzbayeva"> Aigerim Uyzbayeva</a>, <a href="https://publications.waset.org/abstracts/search?q=Valeriya%20Tyo"> Valeriya Tyo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The presented article is showing results of dynamic modeling with Mathlab software of optimal automatic room climate control system for two experimental houses in Astana, one of which has circle plan and the other one has square plan. These results are showing that building geometry doesn't influence on climate system PID-controls configuring. This confirms theoretical implication that optimal automatic climate control system parameters configuring should depend on building's internal space volume, envelope heat transfer, number of people inside, supply ventilation air flow and outdoor temperature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=climate%20control%20system" title="climate control system">climate control system</a>, <a href="https://publications.waset.org/abstracts/search?q=climate%20physics" title=" climate physics"> climate physics</a>, <a href="https://publications.waset.org/abstracts/search?q=dome-like%20building" title=" dome-like building"> dome-like building</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20modeling" title=" mathematical modeling"> mathematical modeling</a> </p> <a href="https://publications.waset.org/abstracts/43422/climate-physical-processes-mathematical-modeling-for-dome-like-traditional-residential-building" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43422.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">366</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">19712</span> Joint Optimal Pricing and Lot-Sizing Decisions for an Advance Sales System under Stochastic Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Maryam%20Ghoreishi">Maryam Ghoreishi</a>, <a href="https://publications.waset.org/abstracts/search?q=Christian%20Larsen"> Christian Larsen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we investigate the effect of stochastic inputs on problem of joint optimal pricing and lot-sizing decisions where the inventory cycle is divided into advance and spot sales periods. During the advance sales period, customer can make reservations while customer with reservations can cancel their order. However, during the spot sales period customers receive the order as soon as the order is placed, but they cannot make any reservation or cancellation during that period. We assume that the inter arrival times during the advance sales and spot sales period are exponentially distributed where the arrival rate is decreasing function of price. Moreover, we assume that the number of cancelled reservations is binomially distributed. In addition, we assume that deterioration process follows an exponential distribution. We investigate two cases. First, we consider two-state case where we find the optimal price during the spot sales period and the optimal price during the advance sales period. Next, we develop a generalized case where we extend two-state case also to allow dynamic prices during the spot sales period. We apply the Markov decision theory in order to find the optimal solutions. In addition, for the generalized case, we apply the policy iteration algorithm in order to find the optimal prices, the optimal lot-size and maximum advance sales amount. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=inventory%20control" title="inventory control">inventory control</a>, <a href="https://publications.waset.org/abstracts/search?q=pricing" title=" pricing"> pricing</a>, <a href="https://publications.waset.org/abstracts/search?q=Markov%20decision%20theory" title=" Markov decision theory"> Markov decision theory</a>, <a href="https://publications.waset.org/abstracts/search?q=advance%20sales%20system" title=" advance sales system"> advance sales system</a> </p> <a href="https://publications.waset.org/abstracts/83282/joint-optimal-pricing-and-lot-sizing-decisions-for-an-advance-sales-system-under-stochastic-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83282.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">323</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=optimal%20system&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=optimal%20system&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=optimal%20system&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=optimal%20system&page=5">5</a></li> <li class="page-item"><a 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