Synchronization of uncertain chaotic systems via backstepping approach

In this paper, adaptive synchronization of two uncertain chaotic systems is presented using adaptive backstepping approach. The master system is any smooth nonlinear chaotic system, while the slave system is a nonlinear chaotic system in the feedback form. Global stability and exponential synchronization between the master and slave systems can be achieved. The proposed approach offers a systematic design procedure for adaptive synchronization of a large class of continuous-time chaotic systems in the chaos research literature. Computer simulations are provided to verify the operation of the designed synchronization scheme.