A Unified Particle Swarm Optimization approach for optimum design of backstepping controller in Coullet system

In this paper, an optimal backstepping controller is designed using unified particle swarm optimization (UPSO) algorithm for controlling the chaos of Coullet chaotic system.The backstepping method involves positive parameters that are specified optionally through trial and error process. The improper selection of theparameters 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 effectiveness of the proposed controller is shown by the control of chaos of Coullet chaotic system

Keywords:

UPSO algorithm , backstepping method , Control of chaos , Coullet system