Synchronization of Chen’s chaotic systems based on single sliding mode controller

Abstract Synchronization of Chen’s chaotic systems with different initial states based on a single sliding mode controller (SMC) is considered in this paper. A single controller is simple and easy to implement in practical applications. A single SMC controller can make the synchronization error signals converge to zero gradually. It can realize synchronization control. The single controller is designed based on SMC theory and the stability analysis is proved using Lyapunov stability theory. Single SMC with saturation constraints is used for synchronization control of Chen’s chaotic systems in this paper. A numerical simulation based on MATLAB software is presented to show the effectiveness of the single SMC controller with saturation constraints.