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Improved results on observer-based control for discrete-time fuzzy systems

Author

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  • B. El Haiek
  • A. Hmamed
  • A. El Hajjaji
  • E.H. Tissir

Abstract

This paper is concerned with the design problem of observer-based H∞ control for discrete-time Takagi−Sugeno (T−S) fuzzy systems. New sufficient conditions guaranteeing the H∞ performance of the T−S fuzzy systems are derived. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved using a single-step resolution procedure. In comparison with the existing literature results, the proposed approach may provide more relaxed conditions while ensuring better H∞ performance. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.

Suggested Citation

  • B. El Haiek & A. Hmamed & A. El Hajjaji & E.H. Tissir, 2017. "Improved results on observer-based control for discrete-time fuzzy systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2544-2553, September.
  • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2544-2553
    DOI: 10.1080/00207721.2017.1324067
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    Cited by:

    1. Thanh Binh Nguyen & Hyoung-Kyu Song, 2022. "Further Results on Robust Output-Feedback Dissipative Control of Markovian Jump Fuzzy Systems with Model Uncertainties," Mathematics, MDPI, vol. 10(19), pages 1-16, October.

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