Adaptive Control of the Chaotic System via Singular System Approach

Adaptive Control of the Chaotic System via Singular System Approach

Li, Yudong;Zhang, Tianyu;Zhang, Yujun;
journal of applied mathematics 2014 Vol. 2014 pp. -
310
li2014adaptivejournal

Abstract

This paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode controller is designed to make 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.

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