Sliding Mode Control Based Global Chaos Synchronization of Four-Scroll Attractors

Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and good transient performance as well as its insensitivity to parameter uncertainties and disturbances. In this paper, we derive new results based on the sliding mode control for the global chaos synchronization of identical Liu-Chen four-scroll chaotic attractors (2004) and identical Wang four-scroll chaotic attractors (2009). The stability results for the synchronization schemes derived in this paper using sliding mode control (SMC) 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 Liu-Chen four-scroll chaotic attractors and identical Wang four-scroll chaotic attractors. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper.