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SLIDING MODE CONTROLLER DESIGN FOR THE GLOBAL CHAOS SYNCHRONIZATION OF HYPERCHAOTIC XU SYSTEMS

Authors

Sundarapandian Vaidyanathan
Vel Tech Dr. RR & Dr. SR Technical University, Tamil Nadu, INDIA

Abstract

This paper investigates the global chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical hyperchaotic Xu systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper for the identical hyperchaotic Xu systems.

Keywords

Sliding Mode Control, Chaos Synchronization, Chaotic Systems, Hyperchaotic Xu System.