Adaptive Sliding Mode Control for Synchronization of Unified Hyperchaotic Systems

Abstract

This paper addresses synchronization control of four-dimensional unified drive-response hyperchaotic system. First, a unified four-dimensional hyperchaotic system can be implemented by an electrical circuit. Then, using the sliding mode control technique and Lyapunov stability theory, an adaptive sliding mode controller is proposed for unified drive-response hyperchaotic systems with dead-zone input, unknown system parameters, and external disturbance to achieve the synchronization control goal. Finally, experimental results are given to demonstrate the effectiveness and robustness of the proposed control scheme.