Sliding adaptive fuzzy control for a class of time-delayed chaotic systems

Abstract

In this study, sliding adaptive fuzzy control (SAFC) is proposed to chaos control for a class of time-delayed chaotic systems. An adaptation law based on Gradient Descent (GD) method is utilized to determine the parameters of fuzzy controller. The first derivation of Lyapunov function is considered as the cost function which must be minimized, so the stability of proposed method is guaranteed with Lyapunov stability theory. Moreover, the changes of parameters and delay time are investigated. Simulation results show that the proposed method is appropriate to chaos control and it is robust with respect to changes of parameters. Also it is illustrated that the performance of proposed method is better than the performance of sliding mode controller.