Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller

This paper provides a novel method to synchronize the uncertain fractional-order chaotic systems with external disturbance via fractional terminal sliding mode control. Based on the Lyapunov stability theory, a new fractional-order switching manifold is proposed and in order to ensure the occurrence of the sliding motion in finite time, the corresponding sliding mode control law is designed. The proposed control scheme is applied to synchronizing the fractional-order Lorenz chaotic system and fractional-order Chen's chaotic system with parameters uncertainty and external disturbance. Simulation results show the applicability and the efficiency of the proposed scheme.