Synchronization of Fractional-order Chaotic Systems via Modified Sliding Mode Control

Abstract

This paper investigates the synchronization of fractional-order chaotic systems via sliding mode control method. A fractional-order sliding surface is proposed and the corrreponding controller is formulated based on the fractional version of the Lyapunov stability theory, which can guarantees asymptotical stability of fractional-order chaotic systems. Finally, simulation results are given to demonstrate the effectiveness of the proposed sliding mode control method.