Adaptive sliding mode control for the stabilization of a class of fractional-order Lü chaotic systems

This paper presents the stabilization of three-dimensional fractional-order Lü chaotic systems, by means of an adaptive sliding mode based on Lyapunov stability theory. It focuses on an important issue in the research of fractional-order systems that is chaos stabilization. Based on the proposed adaptive sliding mode control method, the states of the fractional-order system have been stabilized; Numerical simulation results for fractional-order chaotic system are also provided to illustrate the effectiveness of proposed schemes.