Non-fragile sliding mode control of uncertain chaotic systems

  • Authors:
  • Leipo Liu;Zhengzhi Han;Zhumu Fu

  • Affiliations:
  • College of Electrical and Information Engineering, Henan University of Science and Technology, Luoyang, China;School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai, China;College of Electrical and Information Engineering, Henan University of Science and Technology, Luoyang, China

  • Venue:
  • Journal of Control Science and Engineering
  • Year:
  • 2011

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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.