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Journal of Control Science and Engineering
Volume 2011 (2011), Article ID 859159, 6 pages
http://dx.doi.org/10.1155/2011/859159
Research Article

Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems

1College of Electrical and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China
2School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received 5 April 2011; Accepted 27 June 2011

Academic Editor: Onur Toker

Copyright © 2011 Leipo Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalized 𝐻2 disturbance rejection level. Secondly, non-fragile sliding mode controller is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the effectiveness of the proposed method.