Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Stabilization of Input-Delayed TS Fuzzy Systems

  • Lee, Ho-Jae (Dept. of Electrical and Electronic Eng., Yonsei Univ.) ;
  • Park, Jin-Bae (Dept. of Electrical and Electronic Eng., Yonsei Univ.) ;
  • Cha, Dae-Beum (School of Electronic and Information Eng., Kunsan National Univ.) ;
  • Joo, Young-Hoon (School of Electronic and Information Eng., Kunsan National Univ.)
  • Published : 2001.05.01
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Abstract

In this paper, a control problem of the Takagi-Sugeno(TS) fuzzy system with time-varying input delay is considered. It is well known that the delay is one of the major sources responsible for the instability of the controlled system. A systematic design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the global asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

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