Abstract—In this paper, an intelligent backstepping controller, tuned using a chaotic particle swarm optimization (CPSO), is proposed to control of chaos in Genesio-Tesi chaotic system. The backstepping method consists of parameters with positive values. The parameters are usually chosen optional by trial and error method. The improper selection of the parameters leads to inappropriate responses or even may lead to instability of the system. The proposed intelligent 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 intelligent backstepping controller (IBSC) is illustrated by controlling the chaos of Genesio-Tesi chaotic system.

Index Terms—Backstepping method, chaotic particle swarm optimization, genesio-tesi system, control of chaos.

Reza Gholipourand Alireza Khosravi are with the Depatment of Electrical and Computer Engineering, Babol (Noushirvani) University of Technology, Babol, Iran (e-mails: reza_gh_08@yahoo.com; akhosravi@nit.ac.ir).
Hamed Mojallali is with the Electrical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, Iran (e-mail: mojallali@guilan.ac.ir).

Cite: Reza Gholipour, Alireza Khosravi, and Hamed Mojallali, "Intelligent Backstepping Control for Genesio-Tesi Chaotic System Using a Chaotic Particle Swarm Optimization Algorithm," International Journal of Computer and Electrical Engineering vol. 4, no. 5, pp. 618-625, 2012.