Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems

Abstract

In this chapter, a fuzzy adaptive controller for a class of fractional-order chaotic systems with uncertain dynamics and external disturbances is proposed to realize a practical projective synchronization. The adaptive fuzzy systems are used to online approximate unknown system nonlinearities. The proposed control law,which is derived based on a Lyapunov approach, is continuous and ensures the stability of the closed-loop system and the convergence of the underlying synchronization errors to a neighborhood of zero. Finally, a simulation example is provided to verify the effectiveness of the proposed synchronization method.