Design of sliding mode controller for a class of fractional-order chaotic systems

In this paper, a sliding mode control law is designed to control chaos in a class of fractional-order chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. In addition, chaos control is implemented in the fractional-order Chen system, the fractional-order Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations.

► In this paper, a general class of fractional-order chaotic systems is introduced.
► Design a sliding mode controller for the class of fractional-order chaotic systems is considered.
► The sliding mode control law is derived to stabilize the states of fractional-order chaotic systems.
► Chaos control is implement in the fractional-order Chen, Lorenz and financial systems.
► Finally, the claims are justified through numerical simulations.