H_Infinity Anti-Synchronization of Chaotic Systems with Unknown Parameters

Abstract

In this paper, a general method is proposed for the anti-synchronization of chaotic systems with unknown parameters. This approach is based on the Lyapunov control theory, and employs a combination of feedback control and adaptive control. With this method, the unknown parameters is estimated and the adaptive feedback controller is designed to not only guarantee stable anti-synchronization but also reduce the effect of external disturbance to an norm constraint. Numerical simulations results are presented to demonstrate the effectiveness of the method.