J4 ›› 2010, Vol. 45 ›› Issue (6): 99-104.

• Articles • Previous Articles     Next Articles

Passive sliding mode control for uncertain time-delay systems subjected to input nonlinearity

LI Ya-nan1, LIU Lei-po2, WANG Yu-guang3   

  1. 1. Wanfang School of Science and Technology, Henan Polytechnic University, Jiaozuo 454000, Henan, China;
    2. School of Electrical and Information Engineering, Shanghai Jiaotong University, Shanghai 200240, Henan, China;
     3. School of Mathematics and Computer, Ningxia University, Yinchuan 750021, Ningxia, China
  • Received:2009-08-24 Online:2010-06-16 Published:2010-06-17
  • About author:LI Ya-nan(1983-), male, lecturer. His interests mainly focuses on nonlinear system and control, stability of ecosystem. Email: lyn@hpu.edu.cn
  • Supported by:

    Supported by the National Natural Science Foundation of China (No.60674024)

Abstract:

The problem of passive sliding mode control for uncertain timedelay systems subjected to input nonlinearity is investigated. Using the sliding mode control, a robust law is established such that the reachability of the sliding surface in the state space is guaranteed in a finite time, and the sufficient condition for the passivity and asymptotic stability of sliding mode dynamics is derived via linear matrix inequality(LMI). Finally, a simulation example is presented to verify the validity of the proposed method.

Key words: sliding mode passive control; time-delay systems; input nonlinearity; linear matrix inequality

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