Modified Function Projective Synchronization of a Classic Chaotic Systems with Unknown Disturbances Based on Adaptive Integral Sliding Mode Control

In this paper, we treat the modified function projective synchronization for a class of chaotic systems with unknown disturbances. The sliding mode surface, the controller and adaptive law are designed. The approach is more robust to noise and external interference, and need not the unknown disturbances in advance. By choosing integral sliding mode control can eliminate chattering, restrain the static error, improve the control precision. Moreover, it can adjust the system response rapidly by adjusting the accelerated factor. Numerical simulations verify the effectiveness of the proposed method.