Synchronization of uncertain fractional-order chaotic systems via the fractional-order sliding mode controller

For synchronization of uncertain fractional-order chaotic systems with model uncertainties and external disturbances, this paper presents a novel fractional-order sliding mode controller. The fractional-order controller is formed by introducing fractional order reaching law into sliding mode control. Based on Lyapunov stability theory and stability theorem of fractional-order system, the controlled system's stability is analyzed. Numerical simulations are given to illustrate the effectiveness and the robustness of the proposed controller.