Modified sliding mode synchronization of typical three-dimensional fractional-order chaotic systems

In this paper, a modified sliding mode control scheme is proposed to realize complete synchronization of a class of three-dimensional fractional-order chaotic systems. By constructing the suitable sliding mode surface with fractional-order derivative, a single-state sliding mode controller is designed to realize the asymptotical stability of synchronization error system. Compared with the existing results, the main results in this paper are more reasonable and rigorous. Simulation results show the effectiveness and feasibility of the proposed sliding mode control method.