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method</title> <meta name="description" content="Search results for: backstepping method"> <meta name="keywords" content="backstepping method"> <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 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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="backstepping method"> <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> 18938</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: backstepping method</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18938</span> Backstepping Design and Fractional Differential Equation of Chaotic System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ayub%20Khan">Ayub Khan</a>, <a href="https://publications.waset.org/abstracts/search?q=Net%20Ram%20Garg"> Net Ram Garg</a>, <a href="https://publications.waset.org/abstracts/search?q=Geeta%20Jain"> Geeta Jain</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, backstepping method is proposed to synchronize two fractional-order systems. The simulation results show that this method can effectively synchronize two chaotic systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backstepping%20method" title="backstepping method">backstepping method</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20order" title=" fractional order"> fractional order</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization" title=" synchronization"> synchronization</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20system" title=" chaotic system "> chaotic system </a> </p> <a href="https://publications.waset.org/abstracts/6438/backstepping-design-and-fractional-differential-equation-of-chaotic-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6438.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">18937</span> Sliding Mode MRAS Observer for Optimized Backstepping Control of Induction Motor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chaouch%20Souad">Chaouch Souad</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdou%20Latifa"> Abdou Latifa</a>, <a href="https://publications.waset.org/abstracts/search?q=Larbi%20Chrifi%20Alaoui"> Larbi Chrifi Alaoui</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with sensorless backstepping control of induction motor using MRAS technique associated to sliding mode approach. A high order genetic algorithm structure is used to approximate a control law designed by the Backstepping technique, and to find the best parameters globally optimized. However, the Backstepping control approach is unsuitable for high performance applications because the need of a speed sensor for increased accuracy and the absence of any error decay mechanism. In this paper a nonlinear observer, obtained by combining sliding mode structure and model reference adaptive system (MRAS), is designed for the rotor flux and rotor speed estimations. To validate the proposed method, the results are presented for showing the improved drive characteristics and performances. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Backstepping%20Control" title="Backstepping Control">Backstepping Control</a>, <a href="https://publications.waset.org/abstracts/search?q=Induction%20Motor" title=" Induction Motor"> Induction Motor</a>, <a href="https://publications.waset.org/abstracts/search?q=Genetic%20Algorithm" title=" Genetic Algorithm"> Genetic Algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=Sliding%20Mode%20observer" title=" Sliding Mode observer"> Sliding Mode observer</a> </p> <a href="https://publications.waset.org/abstracts/23501/sliding-mode-mras-observer-for-optimized-backstepping-control-of-induction-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/23501.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">731</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">18936</span> Aircraft Pitch Attitude Control Using Backstepping </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Labane%20Chrif">Labane Chrif</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A nonlinear approach to the automatic pitch attitude control problem for aircraft transportation is presented. A nonlinear model describing the longitudinal equations of motion in strict feedback form is derived. Backstepping is utilized for the construction of a globally stabilizing controller with a number of free design parameters. The controller is evaluated using the aircraft transportation. The adaptation scheme proposed allowed us to design an explicit controller with a minimal knowledge of the aircraft aerodynamics. Finally, the simulation results will show that backstepping controller have better dynamic performance, simpler design, higher precision, easier implement, etc. At the same time, the control effect will be significantly improved. In addition, backstepping control is superior in short transition, good stability, anti-disturbance and good control. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20control" title="nonlinear control">nonlinear control</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping" title=" backstepping"> backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=aircraft%20control" title=" aircraft control"> aircraft control</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20function" title=" Lyapunov function"> Lyapunov function</a>, <a href="https://publications.waset.org/abstracts/search?q=longitudinal%20model" title=" longitudinal model"> longitudinal model</a> </p> <a href="https://publications.waset.org/abstracts/23396/aircraft-pitch-attitude-control-using-backstepping" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/23396.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">581</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">18935</span> Backstepping Sliding Mode Control </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Othmane%20Boughazi">Othmane Boughazi</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelmadjid%20Boumedienne"> Abdelmadjid Boumedienne</a>, <a href="https://publications.waset.org/abstracts/search?q=Hachemi%20Glaoui"> Hachemi Glaoui</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work treats the modeling and simulation of non-linear system behavior of an induction motor using backstepping sliding mode control. First, the direct field oriented control IM is derived. Then, a sliding for direct field oriented control is proposed to compensate the uncertainties, which occur in the control.Finally, the study of Backstepping sliding controls strategy of the induction motor drive. Our non linear system is simulated in MATLAB SIMULINK environment, the results obtained illustrate the efficiency of the proposed control with no overshoot, and the rising time is improved with good disturbances rejections comparing with the classical control law. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=induction%20motor" title="induction motor">induction motor</a>, <a href="https://publications.waset.org/abstracts/search?q=proportional-integral" title=" proportional-integral"> proportional-integral</a>, <a href="https://publications.waset.org/abstracts/search?q=sliding%20mode%20control" title=" sliding mode control"> sliding mode control</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping%20sliding%20mode%20control" title=" backstepping sliding mode control"> backstepping sliding mode control</a> </p> <a href="https://publications.waset.org/abstracts/15027/backstepping-sliding-mode-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15027.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">486</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">18934</span> Sensorless Controller of Induction Motor Using Backstepping Approach and Fuzzy MRAS</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20Abbou">Ahmed Abbou</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper present a sensorless controller designed by the backstepping approach for the speed control of induction motor. In this strategy of control, we also combined the method Fuzzy MRAS to estimate the rotor speed and the observer type Luenburger to observe Rotor flux. The control model involves a division by the flux variable that may lead to unbounded solutions. Such a risk is avoided by basing the controller design on Lyapunov function that accounts for the model singularity. On the other hand, this mixed method gives better results in Sensorless operation and especially at low speed. The response time at 5% of the flux is 20ms while the error between the speed with sensor and the estimated speed remains in the range of ±0.8 rad/s for the rated functioning and ±1.5 rad/s for low speed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backstepping%20approach" title="backstepping approach">backstepping approach</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20logic" title=" fuzzy logic"> fuzzy logic</a>, <a href="https://publications.waset.org/abstracts/search?q=induction%20motor" title=" induction motor"> induction motor</a>, <a href="https://publications.waset.org/abstracts/search?q=luenburger%20observer" title=" luenburger observer"> luenburger observer</a>, <a href="https://publications.waset.org/abstracts/search?q=sensorless%20MRAS" title=" sensorless MRAS"> sensorless MRAS</a> </p> <a href="https://publications.waset.org/abstracts/40200/sensorless-controller-of-induction-motor-using-backstepping-approach-and-fuzzy-mras" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40200.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">373</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">18933</span> Adaptive Backstepping Control of Uncertain Nonlinear Systems with Input Backlash</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20Anwar">Ali Anwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Hu%20Qinglei"> Hu Qinglei</a>, <a href="https://publications.waset.org/abstracts/search?q=Li%20Bo"> Li Bo</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Taha%20Ali"> Muhammad Taha Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper a generic model of perturbed nonlinear systems is considered which is affected by hard backlash nonlinearity at the input. The nonlinearity is modelled by a dynamic differential equation which presents a more precise shape as compared to the existing linear models and is compatible with nonlinear design technique such as backstepping. Moreover, a novel backstepping based nonlinear control law is designed which explicitly incorporates a continuous-time adaptive backlash inverse model. It provides a significant flexibility to control engineers, whereby they can use the estimated backlash spacing value specified on actuators such as gears etc. in the adaptive Backlash Inverse model during the control design. It ensures not only global stability but also stringent transient performance with desired precision. It is also robust to external disturbances upon which the bounds are taken as unknown and traverses the backlash spacing efficiently with underestimated information about the actual value. The continuous-time backlash inverse model is distinguished in the sense that other models are either discrete-time or involve complex computations. Furthermore, numerical simulations are presented which not only illustrate the effectiveness of proposed control law but also its comparison with PID and other backstepping controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adaptive%20control" title="adaptive control">adaptive control</a>, <a href="https://publications.waset.org/abstracts/search?q=hysteresis" title=" hysteresis"> hysteresis</a>, <a href="https://publications.waset.org/abstracts/search?q=backlash%20inverse" title=" backlash inverse"> backlash inverse</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20system" title=" nonlinear system"> nonlinear system</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20control" title=" robust control"> robust control</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping" title=" backstepping"> backstepping</a> </p> <a href="https://publications.waset.org/abstracts/30698/adaptive-backstepping-control-of-uncertain-nonlinear-systems-with-input-backlash" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30698.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">460</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">18932</span> A Boundary Backstepping Control Design for 2-D, 3-D and N-D Heat Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aziz%20Sezgin">Aziz Sezgin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider the problem of stabilization of an unstable heat equation in a 2-D, 3-D and generally n-D domain by deriving a generalized backstepping boundary control design methodology. To stabilize the systems, we design boundary backstepping controllers inspired by the 1-D unstable heat equation stabilization procedure. We assume that one side of the boundary is hinged and the other side is controlled for each direction of the domain. Thus, controllers act on two boundaries for 2-D domain, three boundaries for 3-D domain and ”n” boundaries for n-D domain. The main idea of the design is to derive ”n” controllers for each of the dimensions by using ”n” kernel functions. Thus, we obtain ”n” controllers for the ”n” dimensional case. We use a transformation to change the system into an exponentially stable ”n” dimensional heat equation. The transformation used in this paper is a generalized Volterra/Fredholm type with ”n” kernel functions for n-D domain instead of the one kernel function of 1-D design. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backstepping" title="backstepping">backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20control" title=" boundary control"> boundary control</a>, <a href="https://publications.waset.org/abstracts/search?q=2-D" title=" 2-D"> 2-D</a>, <a href="https://publications.waset.org/abstracts/search?q=3-D" title="3-D">3-D</a>, <a href="https://publications.waset.org/abstracts/search?q=n-D%20heat%0D%0Aequation" title="n-D heat equation">n-D heat equation</a>, <a href="https://publications.waset.org/abstracts/search?q=distributed%20parameter%20systems" title=" distributed parameter systems"> distributed parameter systems</a> </p> <a href="https://publications.waset.org/abstracts/34150/a-boundary-backstepping-control-design-for-2-d-3-d-and-n-d-heat-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34150.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">404</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">18931</span> Control Law Design of a Wheeled Robot Mobile</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ghania%20Zidani">Ghania Zidani</a>, <a href="https://publications.waset.org/abstracts/search?q=Said%20Drid"> Said Drid</a>, <a href="https://publications.waset.org/abstracts/search?q=Larbi%20Chrifi-Alaoui"> Larbi Chrifi-Alaoui</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdeslam%20Benmakhlouf"> Abdeslam Benmakhlouf</a>, <a href="https://publications.waset.org/abstracts/search?q=Souad%20Chaouch"> Souad Chaouch</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we focus on the study for path tracking control of unicycle-type Wheeled Mobile Robots (WMR), by applying the Backstepping technic. The latter is a relatively new technic for nonlinear systems. To solve the problem of constraints nonholonomics met in the path tracking of such robots, an adaptive Backstepping based nonlinear controller is developed. The stability of the controller is guaranteed, using the Lyapunov theory. Simulation results show that the proposed controller achieves the objective and ensures good path tracking. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Backstepping%20control" title="Backstepping control">Backstepping control</a>, <a href="https://publications.waset.org/abstracts/search?q=kinematic%20and%20dynamic%20controllers" title=" kinematic and dynamic controllers"> kinematic and dynamic controllers</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20methods" title=" Lyapunov methods"> Lyapunov methods</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20control%20systems" title=" nonlinear control systems"> nonlinear control systems</a>, <a href="https://publications.waset.org/abstracts/search?q=Wheeled%20Mobile%20Robot%20%28WMR%29." title=" Wheeled Mobile Robot (WMR)."> Wheeled Mobile Robot (WMR).</a> </p> <a href="https://publications.waset.org/abstracts/22322/control-law-design-of-a-wheeled-robot-mobile" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22322.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">439</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">18930</span> Grid-Connected Doubly-Fed Induction Generator under Integral Backstepping Control Combined with High Gain Observer</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Oluwaseun%20Simon%20Adekanle">Oluwaseun Simon Adekanle</a>, <a href="https://publications.waset.org/abstracts/search?q=M%27hammed%20Guisser"> M'hammed Guisser</a>, <a href="https://publications.waset.org/abstracts/search?q=Elhassane%20Abdelmounim"> Elhassane Abdelmounim</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Aboulfatah"> Mohamed Aboulfatah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, modeling and control of a grid connected 660KW Doubly-Fed Induction Generator wind turbine is presented. Stator flux orientation is used to realize active-reactive power decoupling to enable independent control of active and reactive power. The recursive Integral Backstepping technique is used to control generator speed to its optimum value and to obtain unity power factor. The controller is combined with High Gain Observer to estimate the mechanical torque of the machine. The most important advantage of this combination of High Gain Observer and the Integral Backstepping controller is the annulation of static error that may occur due to incertitude between the actual value of a parameter and its estimated value by the controller. Simulation results under Matlab/Simulink show the robustness of this control technique in presence of parameter variation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=doubly-fed%20induction%20generator" title="doubly-fed induction generator">doubly-fed induction generator</a>, <a href="https://publications.waset.org/abstracts/search?q=field%20orientation%20control" title=" field orientation control"> field orientation control</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20gain%20observer" title=" high gain observer"> high gain observer</a>, <a href="https://publications.waset.org/abstracts/search?q=integral%20backstepping%20control" title=" integral backstepping control"> integral backstepping control</a> </p> <a href="https://publications.waset.org/abstracts/65670/grid-connected-doubly-fed-induction-generator-under-integral-backstepping-control-combined-with-high-gain-observer" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/65670.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">362</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">18929</span> Backstepping Controller for a Variable Wind Speed Energy Conversion System Based on a DFIG </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sara%20Mensou">Sara Mensou</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20Essadki"> Ahmed Essadki</a>, <a href="https://publications.waset.org/abstracts/search?q=Issam%20Minka"> Issam Minka</a>, <a href="https://publications.waset.org/abstracts/search?q=Tamou%20Nasser"> Tamou Nasser</a>, <a href="https://publications.waset.org/abstracts/search?q=Badr%20Bououlid%20Idrissi"> Badr Bououlid Idrissi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we present a contribution for the modeling and control of wind energy conversion system based on a Doubly Fed Induction Generator (DFIG). Since the wind speed is random the system has to produce an optimal electrical power to the Network and ensures important strength and stability. In this work, the Backstepping controller is used to control the generator via two converter witch placed a DC bus capacitor and connected to the grid by a Filter R-L, in order to optimize capture wind energy. All is simulated and presented under MATLAB/Simulink Software to show performance and robustness of the proposed controller. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=wind%20turbine" title="wind turbine">wind turbine</a>, <a href="https://publications.waset.org/abstracts/search?q=doubly%20fed%20induction%20generator" title=" doubly fed induction generator"> doubly fed induction generator</a>, <a href="https://publications.waset.org/abstracts/search?q=MPPT%20control" title=" MPPT control"> MPPT control</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping%20controller" title=" backstepping controller"> backstepping controller</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20converter" title=" power converter"> power converter</a> </p> <a href="https://publications.waset.org/abstracts/98603/backstepping-controller-for-a-variable-wind-speed-energy-conversion-system-based-on-a-dfig" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/98603.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">189</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">18928</span> Active Power Flow Control Using a TCSC Based Backstepping Controller in Multimachine Power System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Naimi%20Abdelhamid">Naimi Abdelhamid</a>, <a href="https://publications.waset.org/abstracts/search?q=Othmane%20Abdelkhalek"> Othmane Abdelkhalek</a> </p> <p class="card-text"><strong>Abstract:</strong></p> With the current rise in the demand of electrical energy, present-day power systems which are large and complex, will continue to grow in both size and complexity. Flexible AC Transmission System (FACTS) controllers provide new facilities, both in steady state power flow control and dynamic stability control. Thyristor Controlled Series Capacitor (TCSC) is one of FACTS equipment, which is used for power flow control of active power in electric power system and for increase of capacities of transmission lines. In this paper, a Backstepping Power Flow Controller (BPFC) for TCSC in multimachine power system is developed and tested. The simulation results show that the TCSC proposed controller is capable of controlling the transmitted active power and improving the transient stability when compared with conventional PI Power Flow Controller (PIPFC). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=FACTS" title="FACTS">FACTS</a>, <a href="https://publications.waset.org/abstracts/search?q=thyristor%20controlled%20series%20capacitor%20%28TCSC%29" title=" thyristor controlled series capacitor (TCSC)"> thyristor controlled series capacitor (TCSC)</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping" title=" backstepping"> backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=BPFC" title=" BPFC"> BPFC</a>, <a href="https://publications.waset.org/abstracts/search?q=PIPFC" title=" PIPFC "> PIPFC </a> </p> <a href="https://publications.waset.org/abstracts/6370/active-power-flow-control-using-a-tcsc-based-backstepping-controller-in-multimachine-power-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6370.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">529</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">18927</span> Iterative Estimator-Based Nonlinear Backstepping Control of a Robotic Exoskeleton</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Brahmi%20Brahim">Brahmi Brahim</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Habibur%20Rahman"> Mohammad Habibur Rahman</a>, <a href="https://publications.waset.org/abstracts/search?q=Maarouf%20Saad"> Maarouf Saad</a>, <a href="https://publications.waset.org/abstracts/search?q=Crist%C3%B3bal%20Ochoa%20Luna"> Cristóbal Ochoa Luna</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A repetitive training movement is an efficient method to improve the ability and movement performance of stroke survivors and help them to recover their lost motor function and acquire new skills. The ETS-MARSE is seven degrees of freedom (DOF) exoskeleton robot developed to be worn on the lateral side of the right upper-extremity to assist and rehabilitate the patients with upper-extremity dysfunction resulting from stroke. Practically, rehabilitation activities are repetitive tasks, which make the assistive/robotic systems to suffer from repetitive/periodic uncertainties and external perturbations induced by the high-order dynamic model (seven DOF) and interaction with human muscle which impact on the tracking performance and even on the stability of the exoskeleton. To ensure the robustness and the stability of the robot, a new nonlinear backstepping control was implemented with designed tests performed by healthy subjects. In order to limit and to reject the periodic/repetitive disturbances, an iterative estimator was integrated into the control of the system. The estimator does not need the precise dynamic model of the exoskeleton. Experimental results confirm the robustness and accuracy of the controller performance to deal with the external perturbation, and the effectiveness of the iterative estimator to reject the repetitive/periodic disturbances. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backstepping%20control" title="backstepping control">backstepping control</a>, <a href="https://publications.waset.org/abstracts/search?q=iterative%20control" title=" iterative control"> iterative control</a>, <a href="https://publications.waset.org/abstracts/search?q=Rehabilitation" title=" Rehabilitation"> Rehabilitation</a>, <a href="https://publications.waset.org/abstracts/search?q=ETS-MARSE" title=" ETS-MARSE"> ETS-MARSE</a> </p> <a href="https://publications.waset.org/abstracts/50768/iterative-estimator-based-nonlinear-backstepping-control-of-a-robotic-exoskeleton" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50768.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">286</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">18926</span> Formal Asymptotic Stability Guarantees, Analysis, and Evaluation of Nonlinear Controlled Unmanned Aerial Vehicle for Trajectory Tracking</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Soheib%20Fergani">Soheib Fergani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper concerns with the formal asymptotic stability guarantees, analysis and evaluation of a nonlinear controlled unmanned aerial vehicles (uav) for trajectory tracking purpose. As the system has been recognised as an under-actuated non linear system, the control strategy has been oriented towards a hierarchical control. The dynamics of the system and the mission purpose make it mandatory to provide an absolute proof of the vehicle stability during the maneuvers. For this sake, this work establishes the complete theoretical proof for an implementable control oriented strategy that asymptotically stabilizes (GAS and LISS) the system and has never been provided in previous works. The considered model is reorganized into two partly decoupled sub-systems. The concidered control strategy is presented into two stages: the first sub-system is controlled by a nonlinear backstepping controller that generates the desired control inputs to stabilize the second sub-system. This methodology is then applied to a harware in the loop uav simulator (SiMoDrones) that reproduces the realistic behaviour of the uav in an indoor environment has been performed to show the efficiency of the proposed strategy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=UAV%20application" title="UAV application">UAV application</a>, <a href="https://publications.waset.org/abstracts/search?q=trajectory%20tracking" title=" trajectory tracking"> trajectory tracking</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping" title=" backstepping"> backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=sliding%20mode%20control" title=" sliding mode control"> sliding mode control</a>, <a href="https://publications.waset.org/abstracts/search?q=input%20to%20state%20stability" title=" input to state stability"> input to state stability</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20evaluation" title=" stability evaluation"> stability evaluation</a> </p> <a href="https://publications.waset.org/abstracts/185079/formal-asymptotic-stability-guarantees-analysis-and-evaluation-of-nonlinear-controlled-unmanned-aerial-vehicle-for-trajectory-tracking" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/185079.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">65</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">18925</span> Trajectory Tracking Control for Quadrotor Helicopter by Controlled Lagrangian Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ce%20Liu">Ce Liu</a>, <a href="https://publications.waset.org/abstracts/search?q=Wei%20Huo"> Wei Huo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A nonlinear trajectory tracking controller for quadrotor helicopter based on controlled Lagrangian (CL) method is proposed in this paper. A Lagrangian system with virtual angles as generated coordinates rather than Euler angles is developed. Based on the model, the matching conditions presented by nonlinear partial differential equations are simplified and explicitly solved. Smooth tracking control laws and the range of control parameters are deduced based on the controlled energy of closed-loop system. Besides, a constraint condition for reference accelerations is deduced to identify the trackable reference trajectories by the proposed controller and to ensure the stability of the closed-loop system. The proposed method in this paper does not rely on the division of the quadrotor system, and the design of the control torques does not depend on the thrust as in backstepping or hierarchical control method. Simulations for a quadrotor model demonstrate the feasibility and efficiency of the theoretical results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quadrotor" title="quadrotor">quadrotor</a>, <a href="https://publications.waset.org/abstracts/search?q=trajectory%20tracking%20control" title=" trajectory tracking control"> trajectory tracking control</a>, <a href="https://publications.waset.org/abstracts/search?q=controlled%20lagrangians" title=" controlled lagrangians"> controlled lagrangians</a>, <a href="https://publications.waset.org/abstracts/search?q=underactuated%20system" title=" underactuated system"> underactuated system</a> </p> <a href="https://publications.waset.org/abstracts/136555/trajectory-tracking-control-for-quadrotor-helicopter-by-controlled-lagrangian-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/136555.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">120</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">18924</span> Designing Back-Stepping Sliding Mode Controller for a Class of 4Y Octorotor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I.%20Khabbazi">I. Khabbazi</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Ghasemi"> R. Ghasemi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a combination of both robust nonlinear controller and nonlinear controller for a class of nonlinear 4Y Octorotor UAV using Back-stepping and sliding mode controller. The robustness against internal and external disturbance and decoupling control are the merits of the proposed paper. The proposed controller decouples the Octorotor dynamical system. The controller is then applied to a 4Y Octorotor UAV and its feature will be shown. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=sliding%20mode" title="sliding mode">sliding mode</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping" title=" backstepping"> backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=decoupling" title=" decoupling"> decoupling</a>, <a href="https://publications.waset.org/abstracts/search?q=octorotor%20UAV" title=" octorotor UAV"> octorotor UAV</a> </p> <a href="https://publications.waset.org/abstracts/14595/designing-back-stepping-sliding-mode-controller-for-a-class-of-4y-octorotor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14595.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">440</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">18923</span> Discrete Tracking Control of Nonholonomic Mobile Robots: Backstepping Design Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alexander%20S.%20Andreev">Alexander S. Andreev</a>, <a href="https://publications.waset.org/abstracts/search?q=Olga%20A.%20Peregudova"> Olga A. Peregudova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we propose a discrete tracking control of nonholonomic mobile robots with two degrees of freedom. The electro-mechanical model of a mobile robot moving on a horizontal surface without slipping, with two rear wheels controlled by two independent DC electric, and one front roal wheel is considered. We present back-stepping design based on the Euler approximate discrete-time model of a continuous-time plant. Theoretical considerations are verified by numerical simulation. The work was supported by RFFI (15-01-08482). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=actuator%20dynamics" title="actuator dynamics">actuator dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=back%20stepping" title=" back stepping"> back stepping</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete-time%20controller" title=" discrete-time controller"> discrete-time controller</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20function" title=" Lyapunov function"> Lyapunov function</a>, <a href="https://publications.waset.org/abstracts/search?q=wheeled%20mobile%20robot" title=" wheeled mobile robot "> wheeled mobile robot </a> </p> <a href="https://publications.waset.org/abstracts/15632/discrete-tracking-control-of-nonholonomic-mobile-robots-backstepping-design-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15632.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">415</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">18922</span> The Uniting Control Lyapunov Functions in Permanent Magnet Synchronous Linear Motor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yi-Fei%20Yang">Yi-Fei Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Nai-Bao%20He"> Nai-Bao He</a>, <a href="https://publications.waset.org/abstracts/search?q=Shao-Bang%20Xing"> Shao-Bang Xing</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the permanent magnet synchronous linear motor (PMSLM) chaotic motion under the specific physical parameters, the stability and the security of motor-driven system will be unavoidably influenced. Therefore, it is really necessary to investigate the methods of controlling or suppressing chaos in PMSLM. Firstly, we derive a chaotic model of PMSLM in the closed-loop system. Secondly, in order to realize the local asymptotic stabilization of the mechanical subsystem and the global stabilization of the motor-driven system including electrical subsystem, we propose an improved uniting control lyapunov functions by introducing backstepping approach. Finally, an illustrated example is also given to show the electiveness of the obtained results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20motor" title="linear motor">linear motor</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov%20functions" title=" lyapunov functions"> lyapunov functions</a>, <a href="https://publications.waset.org/abstracts/search?q=chao%20control" title=" chao control"> chao control</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20controller" title=" hybrid controller"> hybrid controller</a> </p> <a href="https://publications.waset.org/abstracts/46677/the-uniting-control-lyapunov-functions-in-permanent-magnet-synchronous-linear-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46677.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">337</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">18921</span> Fuzzy-Sliding Controller Design for Induction Motor Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Bouferhane">M. Bouferhane</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Boukhebza"> A. Boukhebza</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20Hatab"> L. Hatab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the position control of linear induction motor using fuzzy sliding mode controller design is proposed. First, the indirect field oriented control LIM is derived. Then, a designed sliding mode control system with an integral-operation switching surface is investigated, in which a simple adaptive algorithm is utilized for generalised soft-switching parameter. Finally, a fuzzy sliding mode controller is derived to compensate the uncertainties which occur in the control, in which the fuzzy logic system is used to dynamically control parameter settings of the SMC control law. The effectiveness of the proposed control scheme is verified by numerical simulation. The experimental results of the proposed scheme have presented good performances compared to the conventional sliding mode controller. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20induction%20motor" title="linear induction motor">linear induction motor</a>, <a href="https://publications.waset.org/abstracts/search?q=vector%20control" title=" vector control"> vector control</a>, <a href="https://publications.waset.org/abstracts/search?q=backstepping" title=" backstepping"> backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy-sliding%20mode%20control" title=" fuzzy-sliding mode control"> fuzzy-sliding mode control</a> </p> <a href="https://publications.waset.org/abstracts/44272/fuzzy-sliding-controller-design-for-induction-motor-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/44272.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">489</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">18920</span> Socratic Style of Teaching: An Analysis of Dialectical Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Jawwad">Muhammad Jawwad</a>, <a href="https://publications.waset.org/abstracts/search?q=Riffat%20Iqbal"> Riffat Iqbal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Socratic method, also known as the dialectical method and elenctic method, has significant relevance in the contemporary educational system. It can be incorporated into modern-day educational systems theoretically as well as practically. Being interactive and dialogue-based in nature, this teaching approach is followed by critical thinking and innovation. The pragmatic value of the Dialectical Method has been discussed in this article, and the limitations of the Socratic method have also been highlighted. The interactive Method of Socrates can be used in many subjects for students of different grades. The Limitations and delimitations of the Method have also been discussed for its proper implementation. This article has attempted to elaborate and analyze the teaching method of Socrates with all its pre-suppositions and Epistemological character. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Socratic%20method" title="Socratic method">Socratic method</a>, <a href="https://publications.waset.org/abstracts/search?q=dialectical%20method" title=" dialectical method"> dialectical method</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge" title=" knowledge"> knowledge</a>, <a href="https://publications.waset.org/abstracts/search?q=teaching" title=" teaching"> teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=virtue" title=" virtue"> virtue</a> </p> <a href="https://publications.waset.org/abstracts/149127/socratic-style-of-teaching-an-analysis-of-dialectical-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149127.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">133</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">18919</span> A New Computational Package for Using in CFD and Other Problems (Third Edition)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Reza%20Akhavan%20Khaleghi">Mohammad Reza Akhavan Khaleghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper shows changes done to the Reduced Finite Element Method (RFEM) that its result will be the most powerful numerical method that has been proposed so far (some forms of this method are so powerful that they can approximate the most complex equations simply Laplace equation!). Finite Element Method (FEM) is a powerful numerical method that has been used successfully for the solution of the existing problems in various scientific and engineering fields such as its application in CFD. Many algorithms have been expressed based on FEM, but none have been used in popular CFD software. In this section, full monopoly is according to Finite Volume Method (FVM) due to better efficiency and adaptability with the physics of problems in comparison with FEM. It doesn't seem that FEM could compete with FVM unless it was fundamentally changed. This paper shows those changes and its result will be a powerful method that has much better performance in all subjects in comparison with FVM and another computational method. This method is not to compete with the finite volume method but to replace it. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reduced%20finite%20element%20method" title="reduced finite element method">reduced finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20computational%20package" title=" new computational package"> new computational package</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20finite%20element%20formulation" title=" new finite element formulation"> new finite element formulation</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20higher-order%20form" title=" new higher-order form"> new higher-order form</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20isogeometric%20analysis" title=" new isogeometric analysis"> new isogeometric analysis</a> </p> <a href="https://publications.waset.org/abstracts/169466/a-new-computational-package-for-using-in-cfd-and-other-problems-third-edition" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/169466.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">117</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">18918</span> A Study on the Solutions of the 2-Dimensional and Forth-Order Partial Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=O.%20Acan">O. Acan</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Keskin"> Y. Keskin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we will carry out a comparative study between the reduced differential transform method, the adomian decomposition method, the variational iteration method and the homotopy analysis method. These methods are used in many fields of engineering. This is been achieved by handling a kind of 2-Dimensional and forth-order partial differential equations called the Kuramoto–Sivashinsky equations. Three numerical examples have also been carried out to validate and demonstrate efficiency of the four methods. Furthermost, it is shown that the reduced differential transform method has advantage over other methods. This method is very effective and simple and could be applied for nonlinear problems which used in engineering. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reduced%20differential%20transform%20method" title="reduced differential transform method">reduced differential transform method</a>, <a href="https://publications.waset.org/abstracts/search?q=adomian%20decomposition%20method" title=" adomian decomposition method"> adomian decomposition method</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=homotopy%20analysis%20method" title=" homotopy analysis method"> homotopy analysis method</a> </p> <a href="https://publications.waset.org/abstracts/17555/a-study-on-the-solutions-of-the-2-dimensional-and-forth-order-partial-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17555.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">433</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">18917</span> Elvis Improved Method for Solving Simultaneous Equations in Two Variables with Some Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elvis%20Adam%20Alhassan">Elvis Adam Alhassan</a>, <a href="https://publications.waset.org/abstracts/search?q=Kaiyu%20Tian"> Kaiyu Tian</a>, <a href="https://publications.waset.org/abstracts/search?q=Akos%20Konadu"> Akos Konadu</a>, <a href="https://publications.waset.org/abstracts/search?q=Ernest%20Zamanah"> Ernest Zamanah</a>, <a href="https://publications.waset.org/abstracts/search?q=Michael%20Jackson%20Adjabui"> Michael Jackson Adjabui</a>, <a href="https://publications.waset.org/abstracts/search?q=Ibrahim%20Justice%20Musah"> Ibrahim Justice Musah</a>, <a href="https://publications.waset.org/abstracts/search?q=Esther%20Agyeiwaa%20Owusu"> Esther Agyeiwaa Owusu</a>, <a href="https://publications.waset.org/abstracts/search?q=Emmanuel%20K.%20A.%20Agyeman"> Emmanuel K. A. Agyeman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, how to solve simultaneous equations using the Elvis improved method is shown. The Elvis improved method says; to make one variable in the first equation the subject; make the same variable in the second equation the subject; equate the results and simplify to obtain the value of the unknown variable; put the value of the variable found into one equation from the first or second steps and simplify for the remaining unknown variable. The difference between our Elvis improved method and the substitution method is that: with Elvis improved method, the same variable is made the subject in both equations, and the two resulting equations equated, unlike the substitution method where one variable is made the subject of only one equation and substituted into the other equation. After describing the Elvis improved method, findings from 100 secondary students and the views of 5 secondary tutors to demonstrate the effectiveness of the method are presented. The study's purpose is proved by hypothetical examples. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=simultaneous%20equations" title="simultaneous equations">simultaneous equations</a>, <a href="https://publications.waset.org/abstracts/search?q=substitution%20method" title=" substitution method"> substitution method</a>, <a href="https://publications.waset.org/abstracts/search?q=elimination%20method" title=" elimination method"> elimination method</a>, <a href="https://publications.waset.org/abstracts/search?q=graphical%20method" title=" graphical method"> graphical method</a>, <a href="https://publications.waset.org/abstracts/search?q=Elvis%20improved%20method" title=" Elvis improved method"> Elvis improved method</a> </p> <a href="https://publications.waset.org/abstracts/165246/elvis-improved-method-for-solving-simultaneous-equations-in-two-variables-with-some-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/165246.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">136</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">18916</span> Different Methods of Fe3O4 Nano Particles Synthesis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arezoo%20Hakimi">Arezoo Hakimi</a>, <a href="https://publications.waset.org/abstracts/search?q=Afshin%20Farahbakhsh"> Afshin Farahbakhsh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Herein, we comparison synthesized Fe3O4 using, hydrothermal method, Mechanochemical processes and solvent thermal method. The Hydrothermal Technique has been the most popular one, gathering interest from scientists and technologists of different disciplines, particularly in the last fifteen years. In the hydrothermal method Fe3O4 microspheres, in which many nearly monodisperse spherical particles with diameters of about 400nm, in the mechanochemical method regular morphology indicates that the particles are well crystallized and in the solvent thermal method Fe3O4 nanoparticles have good properties of uniform size and good dispersion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fe3O4%20nanoparticles" title="Fe3O4 nanoparticles">Fe3O4 nanoparticles</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrothermal%20method" title=" hydrothermal method"> hydrothermal method</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanochemical%20processes" title=" mechanochemical processes"> mechanochemical processes</a>, <a href="https://publications.waset.org/abstracts/search?q=solvent%20thermal%20method" title=" solvent thermal method"> solvent thermal method</a> </p> <a href="https://publications.waset.org/abstracts/46580/different-methods-of-fe3o4-nano-particles-synthesis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46580.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">18915</span> A Comparison of Smoothing Spline Method and Penalized Spline Regression Method Based on Nonparametric Regression Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Autcha%20Araveeporn">Autcha Araveeporn</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a study about a nonparametric regression model consisting of a smoothing spline method and a penalized spline regression method. We also compare the techniques used for estimation and prediction of nonparametric regression model. We tried both methods with crude oil prices in dollars per barrel and the Stock Exchange of Thailand (SET) index. According to the results, it is concluded that smoothing spline method performs better than that of penalized spline regression method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonparametric%20regression%20model" title="nonparametric regression model">nonparametric regression model</a>, <a href="https://publications.waset.org/abstracts/search?q=penalized%20spline%20regression%20method" title=" penalized spline regression method"> penalized spline regression method</a>, <a href="https://publications.waset.org/abstracts/search?q=smoothing%20spline%20method" title=" smoothing spline method"> smoothing spline method</a>, <a href="https://publications.waset.org/abstracts/search?q=Stock%20Exchange%20of%20Thailand%20%28SET%29" title=" Stock Exchange of Thailand (SET)"> Stock Exchange of Thailand (SET)</a> </p> <a href="https://publications.waset.org/abstracts/2974/a-comparison-of-smoothing-spline-method-and-penalized-spline-regression-method-based-on-nonparametric-regression-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2974.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">439</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">18914</span> Influence of Optimization Method on Parameters Identification of Hyperelastic Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bale%20Baidi%20Blaise">Bale Baidi Blaise</a>, <a href="https://publications.waset.org/abstracts/search?q=Gilles%20Marckmann"> Gilles Marckmann</a>, <a href="https://publications.waset.org/abstracts/search?q=Liman%20%20Kaoye"> Liman Kaoye</a>, <a href="https://publications.waset.org/abstracts/search?q=Talaka%20Dya"> Talaka Dya</a>, <a href="https://publications.waset.org/abstracts/search?q=Moustapha%20Bachirou"> Moustapha Bachirou</a>, <a href="https://publications.waset.org/abstracts/search?q=Gambo%20Betchewe"> Gambo Betchewe</a>, <a href="https://publications.waset.org/abstracts/search?q=Tibi%20Beda"> Tibi Beda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work highlights the capabilities of particles swarm optimization (PSO) method to identify parameters of hyperelastic models. The study compares this method with Genetic Algorithm (GA) method, Least Squares (LS) method, Pattern Search Algorithm (PSA) method, Beda-Chevalier (BC) method and the Levenberg-Marquardt (LM) method. Four classic hyperelastic models are used to test the diﬀerent methods through parameters identification. Then, the study compares the ability of these models to reproduce experimental Treloar data in simple tension, biaxial tension and pure shear. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=particle%20swarm%20optimization" title="particle swarm optimization">particle swarm optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=identification" title=" identification"> identification</a>, <a href="https://publications.waset.org/abstracts/search?q=hyperelastic" title=" hyperelastic"> hyperelastic</a>, <a href="https://publications.waset.org/abstracts/search?q=model" title=" model"> model</a> </p> <a href="https://publications.waset.org/abstracts/138255/influence-of-optimization-method-on-parameters-identification-of-hyperelastic-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138255.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">171</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">18913</span> Mathematical Reconstruction of an Object Image Using X-Ray Interferometric Fourier Holography Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20Balyan">M. K. Balyan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main principles of X-ray Fourier interferometric holography method are discussed. The object image is reconstructed by the mathematical method of Fourier transformation. The three methods are presented – method of approximation, iteration method and step by step method. As an example the complex amplitude transmission coefficient reconstruction of a beryllium wire is considered. The results reconstructed by three presented methods are compared. The best results are obtained by means of step by step method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamical%20diffraction" title="dynamical diffraction">dynamical diffraction</a>, <a href="https://publications.waset.org/abstracts/search?q=hologram" title=" hologram"> hologram</a>, <a href="https://publications.waset.org/abstracts/search?q=object%20image" title=" object image"> object image</a>, <a href="https://publications.waset.org/abstracts/search?q=X-ray%20holography" title=" X-ray holography"> X-ray holography</a> </p> <a href="https://publications.waset.org/abstracts/56283/mathematical-reconstruction-of-an-object-image-using-x-ray-interferometric-fourier-holography-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56283.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">394</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">18912</span> Modified Approximation Methods for Finding an Optimal Solution for the Transportation Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Guruprasad">N. Guruprasad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a modification of approximation method for transportation problems. The initial basic feasible solution can be computed using either Russel's or Vogel's approximation methods. Russell’s approximation method provides another excellent criterion that is still quick to implement on a computer (not manually) In most cases Russel's method yields a better initial solution, though it takes longer than Vogel's method (finding the next entering variable in Russel's method is in O(n1*n2), and in O(n1+n2) for Vogel's method). However, Russel's method normally has a lesser total running time because less pivots are required to reach the optimum for all but small problem sizes (n1+n2=~20). With this motivation behind we have incorporated a variation of the same – what we have proposed it has TMC (Total Modified Cost) to obtain fast and efficient solutions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computation" title="computation">computation</a>, <a href="https://publications.waset.org/abstracts/search?q=efficiency" title=" efficiency"> efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20cost" title=" modified cost"> modified cost</a>, <a href="https://publications.waset.org/abstracts/search?q=Russell%E2%80%99s%20approximation%20method" title=" Russell’s approximation method"> Russell’s approximation method</a>, <a href="https://publications.waset.org/abstracts/search?q=transportation" title=" transportation"> transportation</a>, <a href="https://publications.waset.org/abstracts/search?q=Vogel%E2%80%99s%20approximation%20method" title=" Vogel’s approximation method"> Vogel’s approximation method</a> </p> <a href="https://publications.waset.org/abstracts/19162/modified-approximation-methods-for-finding-an-optimal-solution-for-the-transportation-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19162.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">547</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">18911</span> Steepest Descent Method with New Step Sizes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bib%20Paruhum%20Silalahi">Bib Paruhum Silalahi</a>, <a href="https://publications.waset.org/abstracts/search?q=Djihad%20Wungguli"> Djihad Wungguli</a>, <a href="https://publications.waset.org/abstracts/search?q=Sugi%20Guritman"> Sugi Guritman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Steepest descent method is a simple gradient method for optimization. This method has a slow convergence in heading to the optimal solution, which occurs because of the zigzag form of the steps. Barzilai and Borwein modified this algorithm so that it performs well for problems with large dimensions. Barzilai and Borwein method results have sparked a lot of research on the method of steepest descent, including alternate minimization gradient method and Yuan method. Inspired by previous works, we modified the step size of the steepest descent method. We then compare the modification results against the Barzilai and Borwein method, alternate minimization gradient method and Yuan method for quadratic function cases in terms of the iterations number and the running time. The average results indicate that the steepest descent method with the new step sizes provide good results for small dimensions and able to compete with the results of Barzilai and Borwein method and the alternate minimization gradient method for large dimensions. The new step sizes have faster convergence compared to the other methods, especially for cases with large dimensions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=steepest%20descent" title="steepest descent">steepest descent</a>, <a href="https://publications.waset.org/abstracts/search?q=line%20search" title=" line search"> line search</a>, <a href="https://publications.waset.org/abstracts/search?q=iteration" title=" iteration"> iteration</a>, <a href="https://publications.waset.org/abstracts/search?q=running%20time" title=" running time"> running time</a>, <a href="https://publications.waset.org/abstracts/search?q=unconstrained%20optimization" title=" unconstrained optimization"> unconstrained optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=convergence" title=" convergence"> convergence</a> </p> <a href="https://publications.waset.org/abstracts/29734/steepest-descent-method-with-new-step-sizes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29734.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">540</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">18910</span> Calculating Stress Intensity Factor of Cracked Axis by Using a Meshless Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Shahrooi">S. Shahrooi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Talavari"> A. Talavari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numeral study on the crack and discontinuity using element-free methods has been widely spread in recent years. In this study, for stress intensity factor calculation of the cracked axis under torsional loading has been used from a new element-free method as MLPG method. Region range is discretized by some dispersed nodal points. From method of moving least square (MLS) utilized to create the functions using these nodal points. Then, results of meshless method and finite element method (FEM) were compared. The results is shown which the element-free method was of good accuracy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stress%20intensity%20factor" title="stress intensity factor">stress intensity factor</a>, <a href="https://publications.waset.org/abstracts/search?q=crack" title=" crack"> crack</a>, <a href="https://publications.waset.org/abstracts/search?q=torsional%20loading" title=" torsional loading"> torsional loading</a>, <a href="https://publications.waset.org/abstracts/search?q=meshless%20method" title=" meshless method "> meshless method </a> </p> <a href="https://publications.waset.org/abstracts/18554/calculating-stress-intensity-factor-of-cracked-axis-by-using-a-meshless-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18554.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">565</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">18909</span> An Efficient Approach to Optimize the Cost and Profit of a Tea Garden by Using Branch and Bound Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abu%20Hashan%20Md%20Mashud">Abu Hashan Md Mashud</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Sharif%20Uddin"> M. Sharif Uddin</a>, <a href="https://publications.waset.org/abstracts/search?q=Aminur%20Rahman%20Khan"> Aminur Rahman Khan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we formulate a new problem as a linear programming and Integer Programming problem and maximize profit within the limited budget and limited resources based on the construction of a tea garden problem. It describes a new idea about how to optimize profit and focuses on the practical aspects of modeling and the challenges of providing a solution to a complex real life problem. Finally, a comparative study is carried out among Graphical method, Simplex method and Branch and bound method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=integer%20programming" title="integer programming">integer programming</a>, <a href="https://publications.waset.org/abstracts/search?q=tea%20garden" title=" tea garden"> tea garden</a>, <a href="https://publications.waset.org/abstracts/search?q=graphical%20method" title=" graphical method"> graphical method</a>, <a href="https://publications.waset.org/abstracts/search?q=simplex%20method" title=" simplex method"> simplex method</a>, <a href="https://publications.waset.org/abstracts/search?q=branch%20and%20bound%20method" title=" branch and bound method"> branch and bound method</a> </p> <a href="https://publications.waset.org/abstracts/2584/an-efficient-approach-to-optimize-the-cost-and-profit-of-a-tea-garden-by-using-branch-and-bound-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2584.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">623</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=backstepping%20method&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=backstepping%20method&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=backstepping%20method&page=4">4</a></li> <li class="page-item"><a class="page-link" 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