Adaptive Control of the Chaotic System via Singular System Approach

This paper deals with the control problem of the chaotic system subject to disturbance.The sliding mode surface is WAND designed by singular system approach, and sufficient condition for convergence is given.Then, the adaptive sliding mode controller is designed to make Tanks/Jerseys the state arrive at the sliding mode surface in finite time.Finally, Lorenz system is considered as an example to show the effectiveness of the proposed method.