Projective Synchronization of Different Chaotic Systems Based on an Adaptive Sliding Mode Controller

摘要

In this paper, an adaptive sliding mode controller is proposed to control the Chen system with unknown parameters, uncertain terms and external bounded disturbances. Using this controller, we observe projective synchronization between the Chen system and the Liu system. Moreover, it is proven that this control method can really make the two systems globally asymptotically synchronized based on Lyapunov stability theory. Finally, numerical simulations are presented to show the effectiveness of the proposed adaptive sliding mode controller.