Chaos Synchronization of Hyperchaotic Zhou System by Adaptive Integral Sliding Mode Control

Abstract

In this paper, an adaptive integral sliding mode control scheme is developed to study the control and synchronization of the hyper chaotic Zhou system with unknown parameters. First, an integral sliding mode control is designed which can stabilize the hyper chaotic Zhou system with known parameters to its unstable equilibrium at the origin. In the next step, the aim is synchronization of two identical hyper chaotic master and slave Zhou systems with unknown parameters. The master and slave system can be considered as a simple dynamical network with two nodes and one link. We propose an adaptive scheme which is led to a new type adaptive controller for this dynamical network with hyper chaotic Zhou system as oscillators which can identify unknown parameters of the master system and synchronize master and slave systems. Simulation results have shown that the proposed method has an excellent convergence from both speed and accuracy points of view and it outperforms Sundarapandian Vaidyanathan's scheme, a well-recognized scheme in the area.