Study on the uncertain chaotic synchronization control system with adaptive fuzzy sliding mode controller

This paper studies the synchronization of a master-slave chaotic system with uncertainty and external interference. An adaptive fuzzy control method based sliding mode variable structure (SMVS) is proposed. On the basis of a fuzzy controller and a variable structure adaptive control law, and theoretically proved that the stability of the control system. The designed controller is not affected by unknown uncertainty and external interference, and has strong robustness. Through the simulation of the uncertain master-slave Duffing-Holmes system, the effectiveness of the designed control law is verified.