International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Controller Design for Continuous-Time Takagi-Sugeno Fuzzy Systems with Fuzzy Lyapunov Functions : LMI Approach

  • Kim, Ho-Jun (Department of Electrical and Electronic Eng., Yonsei Univ.) ;
  • Joo, Young-Hoon (Department of Control and Robotics Eng., Kunsan National Univ.) ;
  • Park, Jin-Bae (Department of Electrical and Electronic Eng., Yonsei Univ.)
  • Received : 2012.06.20
  • Accepted : 2012.09.24
  • Published : 2012.09.25
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Abstract

This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which can be solved easily by the Matlab LMI Toolbox. Simulation examples are given to illustrate the effectiveness of this method.

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References

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