Adaptive Control of the Chaotic System via Singular System Approach. (12th August 2014)

• Record Type: Journal Article
• Authors: Li, Yudong; Zhang, Tianyu; Zhang, Yujun
• Other Names: Sun Weichao Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-08-12
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/580105
• Languages: English
• ISSNs: 1110-757X

Abstract

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.