An adaptive observer-based nonlinear control for chaos synchronization

This paper presents a control scheme for the synchronization of chaotic systems when the same chaotic system with the different initial conditions. For a given chaotic system, an adaptive observer-based response can be constructed to synchronize the drive system. Moreover this scheme uses the nonlinear controller which is achieved the global synchronization and the proposed controller doesnpsilat need the nonlinear function satisfies the Lipschitz condition. Theoretical analysis and numerical simulation on Chen system show the effectiveness and efficiency of the proposed scheme.