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parameter varying systems</title> <meta name="description" content="Search results for: linear parameter varying systems"> <meta name="keywords" content="linear parameter varying systems"> <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" /> 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action="https://publications.waset.org/abstracts/search"> <div 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="linear parameter varying systems"> <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> 15294</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: linear parameter varying systems</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">15294</span> Sensor Fault-Tolerant Model Predictive Control for Linear Parameter Varying Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yushuai%20Wang">Yushuai Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Feng%20Xu"> Feng Xu</a>, <a href="https://publications.waset.org/abstracts/search?q=Junbo%20Tan"> Junbo Tan</a>, <a href="https://publications.waset.org/abstracts/search?q=Xueqian%20Wang"> Xueqian Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Bin%20Liang"> Bin Liang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a sensor fault-tolerant control (FTC) scheme using robust model predictive control (RMPC) and set theoretic fault detection and isolation (FDI) is extended to linear parameter varying (LPV) systems. First, a group of set-valued observers are designed for passive fault detection (FD) and the observer gains are obtained through minimizing the size of invariant set of state estimation-error dynamics. Second, an input set for fault isolation (FI) is designed offline through set theory for actively isolating faults after FD. Third, an RMPC controller based on state estimation for LPV systems is designed to control the system in the presence of disturbance and measurement noise and tolerate faults. Besides, an FTC algorithm is proposed to maintain the plant operate in the corresponding mode when the fault occurs. Finally, a numerical example is used to show the effectiveness of the proposed results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fault%20detection" title="fault detection">fault detection</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20parameter%20varying" title=" linear parameter varying"> linear parameter varying</a>, <a href="https://publications.waset.org/abstracts/search?q=model%20predictive%20control" title=" model predictive control"> model predictive control</a>, <a href="https://publications.waset.org/abstracts/search?q=set%20theory" title=" set theory"> set theory</a> </p> <a href="https://publications.waset.org/abstracts/134234/sensor-fault-tolerant-model-predictive-control-for-linear-parameter-varying-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/134234.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">252</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">15293</span> Adaptive Kaman Filter for Fault Diagnosis of Linear Parameter-Varying Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rajamani%20Doraiswami">Rajamani Doraiswami</a>, <a href="https://publications.waset.org/abstracts/search?q=Lahouari%20Cheded"> Lahouari Cheded</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fault diagnosis of Linear Parameter-Varying (LPV) system using an adaptive Kalman filter is proposed. The LPV model is comprised of scheduling parameters, and the emulator parameters. The scheduling parameters are chosen such that they are capable of tracking variations in the system model as a result of changes in the operating regimes. The emulator parameters, on the other hand, simulate variations in the subsystems during the identification phase and have negligible effect during the operational phase. The nominal model and the influence vectors, which are the gradient of the feature vector respect to the emulator parameters, are identified off-line from a number of emulator parameter perturbed experiments. A Kalman filter is designed using the identified nominal model. As the system varies, the Kalman filter model is adapted using the scheduling variables. The residual is employed for fault diagnosis. The proposed scheme is successfully evaluated on simulated system as well as on a physical process control system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=identification" title="identification">identification</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20parameter-varying%20systems" title=" linear parameter-varying systems"> linear parameter-varying systems</a>, <a href="https://publications.waset.org/abstracts/search?q=least-squares%20estimation" title=" least-squares estimation"> least-squares estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=fault%20diagnosis" title=" fault diagnosis"> fault diagnosis</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=emulators" title=" emulators"> emulators</a> </p> <a href="https://publications.waset.org/abstracts/7656/adaptive-kaman-filter-for-fault-diagnosis-of-linear-parameter-varying-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7656.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">499</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">15292</span> Sampled-Data Model Predictive Tracking Control for Mobile Robot</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wookyong%20Kwon">Wookyong Kwon</a>, <a href="https://publications.waset.org/abstracts/search?q=Sangmoon%20Lee"> Sangmoon Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a sampled-data model predictive tracking control method is presented for mobile robots which is modeled as constrained continuous-time linear parameter varying (LPV) systems. The presented sampled-data predictive controller is designed by linear matrix inequality approach. Based on the input delay approach, a controller design condition is derived by constructing a new Lyapunov function. Finally, a numerical example is given to demonstrate the effectiveness of the presented method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=model%20predictive%20control" title="model predictive control">model predictive control</a>, <a href="https://publications.waset.org/abstracts/search?q=sampled-data%20control" title=" sampled-data control"> sampled-data control</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20parameter%20varying%20systems" title=" linear parameter varying systems"> linear parameter varying systems</a>, <a href="https://publications.waset.org/abstracts/search?q=LPV" title=" LPV"> LPV</a> </p> <a href="https://publications.waset.org/abstracts/71683/sampled-data-model-predictive-tracking-control-for-mobile-robot" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71683.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">15291</span> Linear Parameter-Varying Control for Selective Catalytic Reduction Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jihoon%20Lim">Jihoon Lim</a>, <a href="https://publications.waset.org/abstracts/search?q=Patrick%20Kirchen"> Patrick Kirchen</a>, <a href="https://publications.waset.org/abstracts/search?q=Ryozo%20Nagamune"> Ryozo Nagamune</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper proposes a linear parameter-varying (LPV) controller capable of reducing nitrogen oxide (NOx) emissions with low ammonia (NH3) slip downstream of selective catalytic reduction (SCR) systems. SCR systems are widely adopted in diesel engines due to high NOx conversion efficiency. However, the nonlinearity of the SCR system and sensor uncertainty result in a challenging control problem. In order to overcome the control challenges, an LPV controller is proposed based on gain-scheduling parameters, that is, exhaust gas temperature and exhaust gas flow rate. Based on experimentally obtained data under the non-road transient driving cycle (NRTC), the simulations firstly show that the proposed controller yields high NOx conversion efficiency with a desired low NH3 slip. The performance of the proposed LPV controller is then compared with other controllers, including a gain-scheduling PID controller and a sliding mode controller. Additionally, the robustness is also demonstrated using the uncertainties ranging from 10 to 30%. The results show that the proposed controller is robustly stable under uncertainties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=diesel%20engine" title="diesel engine">diesel engine</a>, <a href="https://publications.waset.org/abstracts/search?q=gain-scheduling%20control" title=" gain-scheduling control"> gain-scheduling control</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20parameter-varying" title=" linear parameter-varying"> linear parameter-varying</a>, <a href="https://publications.waset.org/abstracts/search?q=selective%20catalytic%20reduction" title=" selective catalytic reduction "> selective catalytic reduction </a> </p> <a href="https://publications.waset.org/abstracts/128744/linear-parameter-varying-control-for-selective-catalytic-reduction-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/128744.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">146</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">15290</span> Parameterized Lyapunov Function Based Robust Diagonal Dominance Pre-Compensator Design for Linear Parameter Varying Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xiaobao%20Han">Xiaobao Han</a>, <a href="https://publications.waset.org/abstracts/search?q=Huacong%20Li"> Huacong Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Jia%20Li"> Jia Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For dynamic decoupling of linear parameter varying system, a robust dominance pre-compensator design method is given. The parameterized pre-compensator design problem is converted into optimal problem constrained with parameterized linear matrix inequalities (PLMI); To solve this problem, firstly, this optimization problem is equivalently transformed into a new form with elimination of coupling relationship between parameterized Lyapunov function (PLF) and pre-compensator. Then the problem was reduced to a normal convex optimization problem with normal linear matrix inequalities (LMI) constraints on a newly constructed convex polyhedron. Moreover, a parameter scheduling pre-compensator was achieved, which satisfies robust performance and decoupling performances. Finally, the feasibility and validity of the robust diagonal dominance pre-compensator design method are verified by the numerical simulation of a turbofan engine PLPV model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20parameter%20varying%20%28LPV%29" title="linear parameter varying (LPV)">linear parameter varying (LPV)</a>, <a href="https://publications.waset.org/abstracts/search?q=parameterized%20Lyapunov%20function%20%28PLF%29" title=" parameterized Lyapunov function (PLF)"> parameterized Lyapunov function (PLF)</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities%20%28LMI%29" title=" linear matrix inequalities (LMI)"> linear matrix inequalities (LMI)</a>, <a href="https://publications.waset.org/abstracts/search?q=diagonal%20dominance%20pre-compensator" title=" diagonal dominance pre-compensator"> diagonal dominance pre-compensator</a> </p> <a href="https://publications.waset.org/abstracts/57964/parameterized-lyapunov-function-based-robust-diagonal-dominance-pre-compensator-design-for-linear-parameter-varying-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/57964.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">399</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">15289</span> Fault-Tolerant Predictive Control for Polytopic LPV Systems Subject to Sensor Faults</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sofiane%20Bououden">Sofiane Bououden</a>, <a href="https://publications.waset.org/abstracts/search?q=Ilyes%20Boulkaibet"> Ilyes Boulkaibet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a robust fault-tolerant predictive control (FTPC) strategy is proposed for systems with linear parameter varying (LPV) models and input constraints subject to sensor faults. Generally, virtual observers are used for improving the observation precision and reduce the impacts of sensor faults and uncertainties in the system. However, this type of observer lacks certain system measurements which substantially reduce its accuracy. To deal with this issue, a real observer is then designed based on the virtual observer, and consequently a real observer-based robust predictive control is designed for polytopic LPV systems. Moreover, the proposed observer can entirely assure that all system states and sensor faults are estimated. As a result, and based on both observers, a robust fault-tolerant predictive control is then established via the Lyapunov method where sufficient conditions are proposed, for stability analysis and control purposes, in linear matrix inequalities (LMIs) form. Finally, simulation results are given to show the effectiveness of the proposed approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20parameter%20varying%20systems" title="linear parameter varying systems">linear parameter varying systems</a>, <a href="https://publications.waset.org/abstracts/search?q=fault-tolerant%20predictive%20control" title=" fault-tolerant predictive control"> fault-tolerant predictive control</a>, <a href="https://publications.waset.org/abstracts/search?q=observer-based%20control" title=" observer-based control"> observer-based control</a>, <a href="https://publications.waset.org/abstracts/search?q=sensor%20faults" title=" sensor faults"> sensor faults</a>, <a href="https://publications.waset.org/abstracts/search?q=input%20constraints" title=" input constraints"> input constraints</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a> </p> <a href="https://publications.waset.org/abstracts/139019/fault-tolerant-predictive-control-for-polytopic-lpv-systems-subject-to-sensor-faults" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/139019.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">200</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">15288</span> Parameter Estimation in Dynamical Systems Based on Latent Variables</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arcady%20Ponosov">Arcady Ponosov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A novel mathematical approach is suggested, which facilitates a compressed representation and efficient validation of parameter-rich ordinary differential equation models describing the dynamics of complex, especially biology-related, systems and which is based on identification of the system's latent variables. In particular, an efficient parameter estimation method for the compressed non-linear dynamical systems is developed. The method is applied to the so-called 'power-law systems' being non-linear differential equations typically used in Biochemical System Theory. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=generalized%20law%20of%20mass%20action" title="generalized law of mass action">generalized law of mass action</a>, <a href="https://publications.waset.org/abstracts/search?q=metamodels" title=" metamodels"> metamodels</a>, <a href="https://publications.waset.org/abstracts/search?q=principal%20components" title=" principal components"> principal components</a>, <a href="https://publications.waset.org/abstracts/search?q=synergetic%20systems" title=" synergetic systems"> synergetic systems</a> </p> <a href="https://publications.waset.org/abstracts/42041/parameter-estimation-in-dynamical-systems-based-on-latent-variables" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42041.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">355</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">15287</span> Decomposition of Third-Order Discrete-Time Linear Time-Varying Systems into Its Second- and First-Order Pairs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Hassan%20Abdullahi">Mohamed Hassan Abdullahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Decomposition is used as a synthesis tool in several physical systems. It can also be used for tearing and restructuring, which is large-scale system analysis. On the other hand, the commutativity of series-connected systems has fascinated the interest of researchers, and its advantages have been emphasized in the literature. The presentation looks into the necessary conditions for decomposing any third-order discrete-time linear time-varying system into a commutative pair of first- and second-order systems. Additional requirements are derived in the case of nonzero initial conditions. MATLAB simulations are used to verify the findings. The work is unique and is being published for the first time. It is critical from the standpoints of synthesis and/or design. Because many design techniques in engineering systems rely on tearing and reconstruction, this is the process of putting together simple components to create a finished product. Furthermore, it is demonstrated that regarding sensitivity to initial conditions, some combinations may be better than others. The results of this work can be extended for the decomposition of fourth-order discrete-time linear time-varying systems into lower-order commutative pairs, as two second-order commutative subsystems or one first-order and one third-order commutative subsystems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=commutativity" title="commutativity">commutativity</a>, <a href="https://publications.waset.org/abstracts/search?q=decomposition" title=" decomposition"> decomposition</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20time-varying%20systems" title=" discrete time-varying systems"> discrete time-varying systems</a>, <a href="https://publications.waset.org/abstracts/search?q=systems" title=" systems"> systems</a> </p> <a href="https://publications.waset.org/abstracts/151285/decomposition-of-third-order-discrete-time-linear-time-varying-systems-into-its-second-and-first-order-pairs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/151285.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">110</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">15286</span> Commutativity of Fractional Order Linear Time-Varying Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salisu%20Ibrahim">Salisu Ibrahim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper studies the commutativity associated with fractional order linear time-varying systems (LTVSs), which is an important area of study in control systems engineering. In this paper, we explore the properties of these systems and their ability to commute. We proposed the necessary and sufficient condition for commutativity for fractional order LTVSs. Through a simulation and mathematical analysis, we demonstrate that these systems exhibit commutativity under certain conditions. Our findings have implications for the design and control of fractional order systems in practical applications, science, and engineering. An example is given to show the effectiveness of the proposed method which is been computed by Mathematica and validated by the use of MATLAB (Simulink). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractional%20differential%20equation" title="fractional differential equation">fractional differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=physical%20systems" title=" physical systems"> physical systems</a>, <a href="https://publications.waset.org/abstracts/search?q=equivalent%20circuit" title=" equivalent circuit"> equivalent circuit</a>, <a href="https://publications.waset.org/abstracts/search?q=analog%20control" title=" analog control"> analog control</a> </p> <a href="https://publications.waset.org/abstracts/171951/commutativity-of-fractional-order-linear-time-varying-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/171951.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">114</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">15285</span> New Results on Exponential Stability of Hybrid Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Grienggrai%20Rajchakit">Grienggrai Rajchakit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is concerned with the exponential stability of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, a switching rule for the exponential stability of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=exponential%20stability" title="exponential stability">exponential stability</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=time-varying%20delays" title=" time-varying delays"> time-varying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov-krasovskii%20functional" title=" lyapunov-krasovskii functional"> lyapunov-krasovskii functional</a>, <a href="https://publications.waset.org/abstracts/search?q=leibniz-newton%27s%20formula" title=" leibniz-newton's formula"> leibniz-newton's formula</a> </p> <a href="https://publications.waset.org/abstracts/19808/new-results-on-exponential-stability-of-hybrid-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19808.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">544</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">15284</span> Commutativity of Fractional Order Linear Time-Varying System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salisu%20Ibrahim">Salisu Ibrahim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper studies the commutativity associated with fractional order linear time-varying systems (LTVSs), which is an important area of study in control systems engineering. In this paper, we explore the properties of these systems and their ability to commute. We proposed the necessary and sufficient condition for commutativity for fractional order LTVSs. Through a simulation and mathematical analysis, we demonstrate that these systems exhibit commutativity under certain conditions. Our findings have implications for the design and control of fractional order systems in practical applications, science, and engineering. An example is given to show the effectiveness of the proposed method which is been computed by Mathematica and validated by the use of Matlab (Simulink). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractional%20differential%20equation" title="fractional differential equation">fractional differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=physical%20systems" title=" physical systems"> physical systems</a>, <a href="https://publications.waset.org/abstracts/search?q=equivalent%20circuit" title=" equivalent circuit"> equivalent circuit</a>, <a href="https://publications.waset.org/abstracts/search?q=and%20analog%20control" title=" and analog control"> and analog control</a> </p> <a href="https://publications.waset.org/abstracts/172277/commutativity-of-fractional-order-linear-time-varying-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/172277.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">77</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">15283</span> Parameter Estimation via Metamodeling </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sergio%20Haram%20Sarmiento">Sergio Haram Sarmiento</a>, <a href="https://publications.waset.org/abstracts/search?q=Arcady%20Ponosov"> Arcady Ponosov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Based on appropriate multivariate statistical methodology, we suggest a generic framework for efficient parameter estimation for ordinary differential equations and the corresponding nonlinear models. In this framework classical linear regression strategies is refined into a nonlinear regression by a locally linear modelling technique (known as metamodelling). The approach identifies those latent variables of the given model that accumulate most information about it among all approximations of the same dimension. The method is applied to several benchmark problems, in particular, to the so-called ”power-law systems”, being non-linear differential equations typically used in Biochemical System Theory. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=principal%20component%20analysis" title="principal component analysis">principal component analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20law%20of%20mass%20action" title=" generalized law of mass action"> generalized law of mass action</a>, <a href="https://publications.waset.org/abstracts/search?q=parameter%20estimation" title=" parameter estimation"> parameter estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=metamodels" title=" metamodels"> metamodels</a> </p> <a href="https://publications.waset.org/abstracts/23814/parameter-estimation-via-metamodeling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/23814.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">517</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">15282</span> H∞ Sampled-Data Control for Linear Systems Time-Varying Delays: Application to Power System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chang-Ho%20Lee">Chang-Ho Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Seung-Hoon%20Lee"> Seung-Hoon Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Myeong-Jin%20Park"> Myeong-Jin Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Oh-Min%20Kwon"> Oh-Min Kwon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates improved stability criteria for sampled-data control of linear systems with disturbances and time-varying delays. Based on Lyapunov-Krasovskii stability theory, delay-dependent conditions sufficient to ensure H∞ stability for the system are derived in the form of linear matrix inequalities(LMI). The effectiveness of the proposed method will be shown in numerical examples. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=sampled-data%20control%20system" title="sampled-data control system">sampled-data control system</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov-Krasovskii%20functional" title=" Lyapunov-Krasovskii functional"> Lyapunov-Krasovskii functional</a>, <a href="https://publications.waset.org/abstracts/search?q=time%20delay-dependent" title=" time delay-dependent"> time delay-dependent</a>, <a href="https://publications.waset.org/abstracts/search?q=LMI" title=" LMI"> LMI</a>, <a href="https://publications.waset.org/abstracts/search?q=H%E2%88%9E%20control" title=" H∞ control"> H∞ control</a> </p> <a href="https://publications.waset.org/abstracts/66538/h-sampled-data-control-for-linear-systems-time-varying-delays-application-to-power-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66538.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">320</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">15281</span> Stability of Hybrid Stochastic Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manlika%20Ratchagit">Manlika Ratchagit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is concerned with robust mean square stability of uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the robust mean square stability for the uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=robust%20mean%20square%20stability" title="robust mean square stability">robust mean square stability</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete-time%20stochastic%20systems" title=" discrete-time stochastic systems"> discrete-time stochastic systems</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=interval%20time-varying%20delays" title=" interval time-varying delays"> interval time-varying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20functional" title=" Lyapunov functional"> Lyapunov functional</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a> </p> <a href="https://publications.waset.org/abstracts/20283/stability-of-hybrid-stochastic-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20283.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">485</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">15280</span> New Results on Stability of Hybrid Stochastic Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manlika%20Rajchakit">Manlika Rajchakit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is concerned with robust mean square stability of uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the robust mean square stability for the uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=robust%20mean%20square%20stability" title="robust mean square stability">robust mean square stability</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete-time%20stochastic%20systems" title=" discrete-time stochastic systems"> discrete-time stochastic systems</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=interval%20time-varying%20delays" title=" interval time-varying delays"> interval time-varying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov%20functional" title=" lyapunov functional"> lyapunov functional</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a> </p> <a href="https://publications.waset.org/abstracts/19809/new-results-on-stability-of-hybrid-stochastic-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19809.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">429</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">15279</span> Stability of Hybrid Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kreangkri%20Ratchagit">Kreangkri Ratchagit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is concerned with exponential stability of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the exponential stability of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=exponential%20stability" title="exponential stability">exponential stability</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=timevarying%20delays" title=" timevarying delays"> timevarying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov-Krasovskii%20functional" title=" Lyapunov-Krasovskii functional"> Lyapunov-Krasovskii functional</a>, <a href="https://publications.waset.org/abstracts/search?q=Leibniz-Newton%E2%80%99s%20formula" title=" Leibniz-Newton’s formula"> Leibniz-Newton’s formula</a> </p> <a href="https://publications.waset.org/abstracts/20280/stability-of-hybrid-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20280.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">458</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">15278</span> Advanced Stability Criterion for Time-Delayed Systems of Neutral Type and Its Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20J.%20Park">M. J. Park</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20H.%20Lee"> S. H. Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20H.%20Lee"> C. H. Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=O.%20M.%20Kwon"> O. M. Kwon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates stability problem for linear systems of neutral type with time-varying delay. By constructing various Lyapunov-Krasovskii functional, and utilizing some mathematical techniques, the sufficient stability conditions for the systems are established in terms of linear matrix inequalities (LMIs), which can be easily solved by various effective optimization algorithms. Finally, some illustrative examples are given to show the effectiveness of the proposed criterion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=neutral%20systems" title="neutral systems">neutral systems</a>, <a href="https://publications.waset.org/abstracts/search?q=time-delay" title=" time-delay"> time-delay</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapnov%20method" title=" Lyapnov method"> Lyapnov method</a>, <a href="https://publications.waset.org/abstracts/search?q=LMI" title=" LMI"> LMI</a> </p> <a href="https://publications.waset.org/abstracts/66517/advanced-stability-criterion-for-time-delayed-systems-of-neutral-type-and-its-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66517.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">348</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">15277</span> Application of Generalized Autoregressive Score Model to Stock Returns</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Katleho%20Daniel%20Makatjane">Katleho Daniel Makatjane</a>, <a href="https://publications.waset.org/abstracts/search?q=Diteboho%20Lawrence%20Xaba"> Diteboho Lawrence Xaba</a>, <a href="https://publications.waset.org/abstracts/search?q=Ntebogang%20Dinah%20Moroke"> Ntebogang Dinah Moroke</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The current study investigates the behaviour of time-varying parameters that are based on the score function of the predictive model density at time t. The mechanism to update the parameters over time is the scaled score of the likelihood function. The results revealed that there is high persistence of time-varying, as the location parameter is higher and the skewness parameter implied the departure of scale parameter from the normality with the unconditional parameter as 1.5. The results also revealed that there is a perseverance of the leptokurtic behaviour in stock returns which implies the returns are heavily tailed. Prior to model estimation, the White Neural Network test exposed that the stock price can be modelled by a GAS model. Finally, we proposed further researches specifically to model the existence of time-varying parameters with a more detailed model that encounters the heavy tail distribution of the series and computes the risk measure associated with the returns. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=generalized%20autoregressive%20score%20model" title="generalized autoregressive score model">generalized autoregressive score model</a>, <a href="https://publications.waset.org/abstracts/search?q=South%20Africa" title=" South Africa"> South Africa</a>, <a href="https://publications.waset.org/abstracts/search?q=stock%20returns" title=" stock returns"> stock returns</a>, <a href="https://publications.waset.org/abstracts/search?q=time-varying" title=" time-varying"> time-varying</a> </p> <a href="https://publications.waset.org/abstracts/78817/application-of-generalized-autoregressive-score-model-to-stock-returns" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78817.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">501</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">15276</span> Formation Control for Linear Multi-Robot System with Switched Directed Topology and Time-Varying Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yaxiao%20Zhang">Yaxiao Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Yangzhou%20Chen"> Yangzhou Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigate the formation problem for high-order continuous-time multi-robot with bounded symmetric time-varying delay protocol under switched directed communication topology. By using a linear transformation, the formation problem is transformed to stability analysis of a switched delay system. Under the assumption that each communication topology has a directed spanning tree, sufficient conditions are presented in terms of linear matrix inequalities (LMIs) that the multi-robot system can achieve a desired formation by the trade-off among the pre-exist topologies with the help of the scheme of average dwell time. A numeral example is presented to illustrate the effectiveness of the obtained results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=multi-robot%20systems" title="multi-robot systems">multi-robot systems</a>, <a href="https://publications.waset.org/abstracts/search?q=formation" title=" formation"> formation</a>, <a href="https://publications.waset.org/abstracts/search?q=switched%20directed%20topology" title=" switched directed topology"> switched directed topology</a>, <a href="https://publications.waset.org/abstracts/search?q=symmetric%20time-varying%20delay" title=" symmetric time-varying delay"> symmetric time-varying delay</a>, <a href="https://publications.waset.org/abstracts/search?q=average%20dwell%20time" title=" average dwell time"> average dwell time</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities%20%28lmis%29" title=" linear matrix inequalities (lmis)"> linear matrix inequalities (lmis)</a> </p> <a href="https://publications.waset.org/abstracts/31110/formation-control-for-linear-multi-robot-system-with-switched-directed-topology-and-time-varying-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31110.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">535</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">15275</span> Process Monitoring Based on Parameterless Self-Organizing Map</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Young%20Jae%20Choung">Young Jae Choung</a>, <a href="https://publications.waset.org/abstracts/search?q=Seoung%20Bum%20Kim"> Seoung Bum Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Statistical Process Control (SPC) is a popular technique for process monitoring. A widely used tool in SPC is a control chart, which is used to detect the abnormal status of a process and maintain the controlled status of the process. Traditional control charts, such as Hotelling’s T2 control chart, are effective techniques to detect abnormal observations and monitor processes. However, many complicated manufacturing systems exhibit nonlinearity because of the different demands of the market. In this case, the unregulated use of a traditional linear modeling approach may not be effective. In reality, many industrial processes contain the nonlinear and time-varying properties because of the fluctuation of process raw materials, slowing shift of the set points, aging of the main process components, seasoning effects, and catalyst deactivation. The use of traditional SPC techniques with time-varying data will degrade the performance of the monitoring scheme. To address these issues, in the present study, we propose a parameterless self-organizing map (PLSOM)-based control chart. The PLSOM-based control chart not only can manage a situation where the distribution or parameter of the target observations changes, but also address the nonlinearity of modern manufacturing systems. The control limits of the proposed PLSOM chart are established by estimating the empirical level of significance on the percentile using a bootstrap method. Experimental results with simulated data and actual process data from a thin-film transistor-liquid crystal display process demonstrated the effectiveness and usefulness of the proposed chart. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=control%20chart" title="control chart">control chart</a>, <a href="https://publications.waset.org/abstracts/search?q=parameter-less%20self-organizing%20map" title=" parameter-less self-organizing map"> parameter-less self-organizing map</a>, <a href="https://publications.waset.org/abstracts/search?q=self-organizing%20map" title=" self-organizing map"> self-organizing map</a>, <a href="https://publications.waset.org/abstracts/search?q=time-varying%20property" title=" time-varying property"> time-varying property</a> </p> <a href="https://publications.waset.org/abstracts/52108/process-monitoring-based-on-parameterless-self-organizing-map" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52108.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">275</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">15274</span> Robust Diagnosis of an Electro-Mechanical Actuators, Bond Graph LFT Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Boulanoir">A. Boulanoir</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Ould%20Bouamama"> B. Ould Bouamama</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Debiane"> A. Debiane</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Achour"> N. Achour</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper deals with robust Fault Detection and isolation with respect to parameter uncertainties based on linear fractional transformation form (LFT) Bond graph. The innovative interest of the proposed methodology is the use only one representation for systematic generation of robust analytical redundancy relations and adaptive residual thresholds for sensibility analysis. Furthermore, the parameter uncertainties are introduced graphically in the bond graph model. The methodology applied to the nonlinear industrial Electro-Mechanical Actuators (EMA) used in avionic systems, has determined first the structural monitorability analysis (which component can be monitored) with given instrumentation architecture with any need of complex calculation and secondly robust fault indicators for online supervision. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bond%20graph%20%28BG%29" title="bond graph (BG)">bond graph (BG)</a>, <a href="https://publications.waset.org/abstracts/search?q=electro%20mechanical%20actuators%20%28EMA%29" title=" electro mechanical actuators (EMA)"> electro mechanical actuators (EMA)</a>, <a href="https://publications.waset.org/abstracts/search?q=fault%20detection%20and%20isolation%20%28FDI%29" title=" fault detection and isolation (FDI)"> fault detection and isolation (FDI)</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20fractional%20transformation%20%28LFT%29" title=" linear fractional transformation (LFT)"> linear fractional transformation (LFT)</a>, <a href="https://publications.waset.org/abstracts/search?q=mechatronic%20systems" title=" mechatronic systems"> mechatronic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=parameter%20uncertainties" title=" parameter uncertainties"> parameter uncertainties</a>, <a href="https://publications.waset.org/abstracts/search?q=avionic%20system" title=" avionic system"> avionic system</a> </p> <a href="https://publications.waset.org/abstracts/29219/robust-diagnosis-of-an-electro-mechanical-actuators-bond-graph-lft-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29219.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">350</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">15273</span> A Spectral Decomposition Method for Ordinary Differential Equation Systems with Constant or Linear Right Hand Sides</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20B.%20Ogunrinde">R. B. Ogunrinde</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20C.%20Jibunoh"> C. C. Jibunoh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a spectral decomposition method is developed for the direct integration of stiff and nonstiff homogeneous linear (ODE) systems with linear, constant, or zero right hand sides (RHSs). The method does not require iteration but obtains solutions at any random points of t, by direct evaluation, in the interval of integration. All the numerical solutions obtained for the class of systems coincide with the exact theoretical solutions. In particular, solutions of homogeneous linear systems, i.e. with zero RHS, conform to the exact analytical solutions of the systems in terms of t. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spectral%20decomposition" title="spectral decomposition">spectral decomposition</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20RHS" title=" linear RHS"> linear RHS</a>, <a href="https://publications.waset.org/abstracts/search?q=homogeneous%20linear%20systems" title=" homogeneous linear systems"> homogeneous linear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvalues%20of%20the%20Jacobian" title=" eigenvalues of the Jacobian"> eigenvalues of the Jacobian</a> </p> <a href="https://publications.waset.org/abstracts/54215/a-spectral-decomposition-method-for-ordinary-differential-equation-systems-with-constant-or-linear-right-hand-sides" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54215.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">15272</span> Use of Linear Programming for Optimal Production in a Production Line in Saudi Food Co.</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Qasim%20M.%20Kriri">Qasim M. Kriri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Few Saudi Arabia production companies face financial profit issues until this moment. This work presents a linear integer programming model that solves a production problem of a Saudi Food Company in Saudi Arabia. An optimal solution to the above-mentioned problem is a Linear Programming solution. In this regard, the main purpose of this project is to maximize profit. Linear Programming Technique has been used to derive the maximum profit from production of natural juice at Saudi Food Co. The operations of production of the company were formulated and optimal results are found out by using Lindo Software that employed Sensitivity Analysis and Parametric linear programming in order develop Linear Programming. In addition, the parameter values are increased, then the values of the objective function will be increased. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parameter%20linear%20programming" title="parameter linear programming">parameter linear programming</a>, <a href="https://publications.waset.org/abstracts/search?q=objective%20function" title=" objective function"> objective function</a>, <a href="https://publications.waset.org/abstracts/search?q=sensitivity%20analysis" title=" sensitivity analysis"> sensitivity analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=optimize%20profit" title=" optimize profit"> optimize profit</a> </p> <a href="https://publications.waset.org/abstracts/86104/use-of-linear-programming-for-optimal-production-in-a-production-line-in-saudi-food-co" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/86104.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">205</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">15271</span> Online Battery Equivalent Circuit Model Estimation on Continuous-Time Domain Using Linear Integral Filter Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Cheng%20Zhang">Cheng Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=James%20Marco"> James Marco</a>, <a href="https://publications.waset.org/abstracts/search?q=Walid%20Allafi"> Walid Allafi</a>, <a href="https://publications.waset.org/abstracts/search?q=Truong%20Q.%20Dinh"> Truong Q. Dinh</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20D.%20Widanage"> W. D. Widanage</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Equivalent circuit models (ECMs) are widely used in battery management systems in electric vehicles and other battery energy storage systems. The battery dynamics and the model parameters vary under different working conditions, such as different temperature and state of charge (SOC) levels, and therefore online parameter identification can improve the modelling accuracy. This paper presents a way of online ECM parameter identification using a continuous time (CT) estimation method. The CT estimation method has several advantages over discrete time (DT) estimation methods for ECM parameter identification due to the widely separated battery dynamic modes and fast sampling. The presented method can be used for online SOC estimation. Test data are collected using a lithium ion cell, and the experimental results show that the presented CT method achieves better modelling accuracy compared with the conventional DT recursive least square method. The effectiveness of the presented method for online SOC estimation is also verified on test data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electric%20circuit%20model" title="electric circuit model">electric circuit model</a>, <a href="https://publications.waset.org/abstracts/search?q=continuous%20time%20domain%20estimation" title=" continuous time domain estimation"> continuous time domain estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20integral%20filter%20method" title=" linear integral filter method"> linear integral filter method</a>, <a href="https://publications.waset.org/abstracts/search?q=parameter%20and%20SOC%20estimation" title=" parameter and SOC estimation"> parameter and SOC estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=recursive%20least%20square" title=" recursive least square"> recursive least square</a> </p> <a href="https://publications.waset.org/abstracts/67718/online-battery-equivalent-circuit-model-estimation-on-continuous-time-domain-using-linear-integral-filter-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/67718.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">383</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">15270</span> On Parameter Estimation of Simultaneous Linear Functional Relationship Model for Circular Variables</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20A.%20Mokhtar">N. A. Mokhtar</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20G.%20Hussin"> A. G. Hussin</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Z.%20Zubairi"> Y. Z. Zubairi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper proposes a new simultaneous simple linear functional relationship model by assuming equal error variances. We derive the maximum likelihood estimate of the parameters in the simultaneous model and the covariance. We show by simulation study the small bias values of the parameters suggest the suitability of the estimation method. As an illustration, the proposed simultaneous model is applied to real data of the wind direction and wave direction measured by two different instruments. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=simultaneous%20linear%20functional%20relationship%20model" title="simultaneous linear functional relationship model">simultaneous linear functional relationship model</a>, <a href="https://publications.waset.org/abstracts/search?q=Fisher%20information%20matrix" title="Fisher information matrix">Fisher information matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=parameter%20estimation" title=" parameter estimation"> parameter estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=circular%20variables" title=" circular variables"> circular variables</a> </p> <a href="https://publications.waset.org/abstracts/44385/on-parameter-estimation-of-simultaneous-linear-functional-relationship-model-for-circular-variables" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/44385.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">15269</span> Vibration of a Beam on an Elastic Foundation Using the Variational Iteration Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Desmond%20Adair">Desmond Adair</a>, <a href="https://publications.waset.org/abstracts/search?q=Kairat%20Ismailov"> Kairat Ismailov</a>, <a href="https://publications.waset.org/abstracts/search?q=Martin%20Jaeger"> Martin Jaeger</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Modelling of Timoshenko beams on elastic foundations has been widely used in the analysis of buildings, geotechnical problems, and, railway and aerospace structures. For the elastic foundation, the most widely used models are one-parameter mechanical models or two-parameter models to include continuity and cohesion of typical foundations, with the two-parameter usually considered the better of the two. Knowledge of free vibration characteristics of beams on an elastic foundation is considered necessary for optimal design solutions in many engineering applications, and in this work, the efficient and accurate variational iteration method is developed and used to calculate natural frequencies of a Timoshenko beam on a two-parameter foundation. The variational iteration method is a technique capable of dealing with some linear and non-linear problems in an easy and efficient way. The calculations are compared with those using a finite-element method and other analytical solutions, and it is shown that the results are accurate and are obtained efficiently. It is found that the effect of the presence of the two-parameter foundation is to increase the beam’s natural frequencies and this is thought to be because of the shear-layer stiffness, which has an effect on the elastic stiffness. By setting the two-parameter model’s stiffness parameter to zero, it is possible to obtain a one-parameter foundation model, and so, comparison between the two foundation models is also made. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Timoshenko%20beam" title="Timoshenko beam">Timoshenko beam</a>, <a href="https://publications.waset.org/abstracts/search?q=variational%20iteration%20method" title=" variational iteration method"> variational iteration method</a>, <a href="https://publications.waset.org/abstracts/search?q=two-parameter%20elastic%20foundation%20model" title=" two-parameter elastic foundation model"> two-parameter elastic foundation model</a> </p> <a href="https://publications.waset.org/abstracts/95779/vibration-of-a-beam-on-an-elastic-foundation-using-the-variational-iteration-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95779.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">15268</span> Delay-Dependent Passivity Analysis for Neural Networks with Time-Varying Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Y.%20Jung">H. Y. Jung</a>, <a href="https://publications.waset.org/abstracts/search?q=Jing%20Wang"> Jing Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20H.%20Park"> J. H. Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Hao%20Shen"> Hao Shen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This brief addresses the passivity problem for neural networks with time-varying delays. The aim is focus on establishing the passivity condition of the considered neural networks. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=neural%20networks" title="neural networks">neural networks</a>, <a href="https://publications.waset.org/abstracts/search?q=passivity%20analysis" title=" passivity analysis"> passivity analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=time-varying%20delays" title=" time-varying delays"> time-varying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequality" title=" linear matrix inequality"> linear matrix inequality</a> </p> <a href="https://publications.waset.org/abstracts/3026/delay-dependent-passivity-analysis-for-neural-networks-with-time-varying-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3026.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">570</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">15267</span> Calculation of Pressure-Varying Langmuir and Brunauer-Emmett-Teller Isotherm Adsorption Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Trevor%20C.%20Brown">Trevor C. Brown</a>, <a href="https://publications.waset.org/abstracts/search?q=David%20J.%20Miron"> David J. Miron</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Gas-solid physical adsorption methods are central to the characterization and optimization of the effective surface area, pore size and porosity for applications such as heterogeneous catalysis, and gas separation and storage. Properties such as adsorption uptake, capacity, equilibrium constants and Gibbs free energy are dependent on the composition and structure of both the gas and the adsorbent. However, challenges remain, in accurately calculating these properties from experimental data. Gas adsorption experiments involve measuring the amounts of gas adsorbed over a range of pressures under isothermal conditions. Various constant-parameter models, such as Langmuir and Brunauer-Emmett-Teller (BET) theories are used to provide information on adsorbate and adsorbent properties from the isotherm data. These models typically do not provide accurate interpretations across the full range of pressures and temperatures. The Langmuir adsorption isotherm is a simple approximation for modelling equilibrium adsorption data and has been effective in estimating surface areas and catalytic rate laws, particularly for high surface area solids. The Langmuir isotherm assumes the systematic filling of identical adsorption sites to a monolayer coverage. The BET model is based on the Langmuir isotherm and allows for the formation of multiple layers. These additional layers do not interact with the first layer and the energetics are equal to the adsorbate as a bulk liquid. This BET method is widely used to measure the specific surface area of materials. Both Langmuir and BET models assume that the affinity of the gas for all adsorption sites are identical and so the calculated adsorbent uptake at the monolayer and equilibrium constant are independent of coverage and pressure. Accurate representations of adsorption data have been achieved by extending the Langmuir and BET models to include pressure-varying uptake capacities and equilibrium constants. These parameters are determined using a novel regression technique called flexible least squares for time-varying linear regression. For isothermal adsorption the adsorption parameters are assumed to vary slowly and smoothly with increasing pressure. The flexible least squares for pressure-varying linear regression (FLS-PVLR) approach assumes two distinct types of discrepancy terms, dynamic and measurement for all parameters in the linear equation used to simulate the data. Dynamic terms account for pressure variation in successive parameter vectors, and measurement terms account for differences between observed and theoretically predicted outcomes via linear regression. The resultant pressure-varying parameters are optimized by minimizing both dynamic and measurement residual squared errors. Validation of this methodology has been achieved by simulating adsorption data for n-butane and isobutane on activated carbon at 298 K, 323 K and 348 K and for nitrogen on mesoporous alumina at 77 K with pressure-varying Langmuir and BET adsorption parameters (equilibrium constants and uptake capacities). This modeling provides information on the adsorbent (accessible surface area and micropore volume), adsorbate (molecular areas and volumes) and thermodynamic (Gibbs free energies) variations of the adsorption sites. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Langmuir%20adsorption%20isotherm" title="Langmuir adsorption isotherm">Langmuir adsorption isotherm</a>, <a href="https://publications.waset.org/abstracts/search?q=BET%20adsorption%20isotherm" title=" BET adsorption isotherm"> BET adsorption isotherm</a>, <a href="https://publications.waset.org/abstracts/search?q=pressure-varying%20adsorption%20parameters" title=" pressure-varying adsorption parameters"> pressure-varying adsorption parameters</a>, <a href="https://publications.waset.org/abstracts/search?q=adsorbate%20and%20adsorbent%20properties%20and%20energetics" title=" adsorbate and adsorbent properties and energetics"> adsorbate and adsorbent properties and energetics</a> </p> <a href="https://publications.waset.org/abstracts/69945/calculation-of-pressure-varying-langmuir-and-brunauer-emmett-teller-isotherm-adsorption-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/69945.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">234</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">15266</span> Finite Element Analysis of a Dynamic Linear Crack Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Brian%20E.%20Usibe">Brian E. Usibe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper addresses the problem of a linear crack located in the middle of a homogeneous elastic media under normal tension-compression harmonic loading. The problem of deformation of the fractured media is solved using the direct finite element numerical procedure, including the analysis of the dynamic field variables of the problem. A finite element algorithm that satisfies the unilateral Signorini contact constraint is also presented for the solution of the contact interaction of the crack faces and how this accounts for the qualitative and quantitative changes in the solution when determining the dynamic fracture parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=harmonic%20loading" title="harmonic loading">harmonic loading</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20crack" title=" linear crack"> linear crack</a>, <a href="https://publications.waset.org/abstracts/search?q=fracture%20parameter" title=" fracture parameter"> fracture parameter</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20number" title=" wave number"> wave number</a>, <a href="https://publications.waset.org/abstracts/search?q=FEA" title=" FEA"> FEA</a>, <a href="https://publications.waset.org/abstracts/search?q=contact%20interaction" title=" contact interaction"> contact interaction</a> </p> <a href="https://publications.waset.org/abstracts/186593/finite-element-analysis-of-a-dynamic-linear-crack-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/186593.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">42</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">15265</span> Efficient Neural and Fuzzy Models for the Identification of Dynamical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aouiche%20Abdelaziz">Aouiche Abdelaziz</a>, <a href="https://publications.waset.org/abstracts/search?q=Soudani%20Mouhamed%20Salah"> Soudani Mouhamed Salah</a>, <a href="https://publications.waset.org/abstracts/search?q=Aouiche%20El%20Moundhe"> Aouiche El Moundhe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present paper addresses the utilization of Artificial Neural Networks (ANNs) and Fuzzy Inference Systems (FISs) for the identification and control of dynamical systems with some degree of uncertainty. Because ANNs and FISs have an inherent ability to approximate functions and to adapt to changes in input and parameters, they can be used to control systems too complex for linear controllers. In this work, we show how ANNs and FISs can be put in order to form nets that can learn from external data. In sequence, it is presented structures of inputs that can be used along with ANNs and FISs to model non-linear systems. Four systems were used to test the identification and control of the structures proposed. The results show the ANNs and FISs (Back Propagation Algorithm) used were efficient in modeling and controlling the non-linear plants. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-linear%20systems" title="non-linear systems">non-linear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20set%20Models" title=" fuzzy set Models"> fuzzy set Models</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=control%20law" title=" control law"> control law</a> </p> <a href="https://publications.waset.org/abstracts/142525/efficient-neural-and-fuzzy-models-for-the-identification-of-dynamical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142525.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span 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