Parviz Alinejad - Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood, Iran
Aghil Keymanesh - Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran
Hadi Nouri - Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran
Reza Gholipour - Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood, Iran

In this paper, an optimal backstepping controller is designed using particle swarm optimization with passive congregation (PSOPC) algorithm for controlling the chaos of Coullet 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 causes improper system performance. The proposed optimal backstepping controller determines theparameters automatically, intelligently and without trial and error by minimizing the integral of time multiplied absolute error (ITAE) and squared control signal using PSOPC Algorithm. By this new controller, the fastest response is achieved with the least control effort, i.e. the system chaos iscontrolled in the least time and with the lowest energy. Finally, the effectiveness of the proposedcontroller is shown by the control of chaos of Coullet chaotic system

PSOPC algorithm, backstepping method, control of chaos, Coullet system