Observer synchronization method for a class of perturbed chaotic systems with unknown parameters

Abstract

Combining the observer and adaptive method, chaos synchronization is realized for a class of the perturbed chaotic systems with unknown parameters. Lyapunov stability theory and Barbalat lemma are adopted to design observer for achieving chaos synchronization. This method has fewer constraints and can be applied to many chaotic systems. Numerical simulations of representative chaotic systems further verify the validity of the proposed method.