Chaos Control of Lure Like Chaotic System using Backstepping Controller Optimized by Chaotic Particle Swarm Optimization
This paper deals with the design of optimal backstepping controller, by using the chaotic particle swarm optimization (CPSO) algorithm to control of chaos in Lure like chaotic system. The backstepping method consists of parameters which could have positive values. The parameters are usually chosen optional by trial and error method. The controlled system provides different behaviors for different values of the parameters. It is necessary to select proper parameters to obtain a good response, because the improper selection of the parameters leads to inappropriate responses or even may lead to instability of the system. The proposed optimal backstepping controller without trial and error determines the parameters of backstepping controller automatically and intelligently by minimizing the Integral of Time multiplied Absolute Error (ITAE) and squared controller output. Finally, the efficiency of the proposed optimal backstepping controller (OBSC) is illustrated by implementing the method on the Lure like chaotic system.
Keywords: Lure Like System, Backstepping Method, Logistic Map, Particle Swarm Optimization, control of chaos
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ABOUT THE AUTHOR
Alireza Khosravi
Alireza Khosravi received the Ph.D. degree in Control Engineering from Iran University of Science and Technology (IUST), Iran, in 2008. He is currently assistant professor at Electrical Engineering Department, Babol (Noushirvani) University of Technology, Babol, Iran. His research interests include robust and optimal control, modeling and system identification and intelligent systems.
Alireza Khosravi
Alireza Khosravi received the Ph.D. degree in Control Engineering from Iran University of Science and Technology (IUST), Iran, in 2008. He is currently assistant professor at Electrical Engineering Department, Babol (Noushirvani) University of Technology, Babol, Iran. His research interests include robust and optimal control, modeling and system identification and intelligent systems.