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Observers of Fuzzy Descriptor Systems with Time‐Delays

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Listed:
  • Hongbiao Fan
  • Min Meng
  • Jun-e Feng

Abstract

For discrete fuzzy descriptor systems with time‐delays, the problem of designing fuzzy observers is investigated in this paper. Based on an equivalent transformation, discrete fuzzy descriptor systems with time‐delays are converted into standard discrete systems with time‐delays. Then, via linear matrix inequality (LMI) approach, both delay‐dependent and delay‐independent conditions for the existence of fuzzy state observers are obtained. Finally, two numerical examples are provided to illustrate the proposed method.

Suggested Citation

  • Hongbiao Fan & Min Meng & Jun-e Feng, 2014. "Observers of Fuzzy Descriptor Systems with Time‐Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:714518
    DOI: 10.1155/2014/714518
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    References listed on IDEAS

    as
    1. T. Youssef & M. Chadli & H. R. Karimi & M. Zelmat, 2013. "Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, July.
    2. Yanbo Li & Yonggui Kao & Jing Xie, 2014. "Robust Guaranteed Cost Observer Design for Singular Markovian Jump Time-Delay Systems with Generally Incomplete Transition Probability," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, March.
    3. Yanbo Li & Yonggui Kao & Jing Xie, 2014. "Robust Guaranteed Cost Observer Design for Singular Markovian Jump Time‐Delay Systems with Generally Incomplete Transition Probability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. T. Youssef & M. Chadli & H. R. Karimi & M. Zelmat, 2013. "Chaos Synchronization Based on Unknown Input Proportional Multiple‐Integral Fuzzy Observer," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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