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An improved approach to fuzzy dynamic output feedback H∞ control of continuous-time Takagi–Sugeno fuzzy systems

Author

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  • Guolin Hu
  • Jian Zhang
  • Zhiguo Yan

Abstract

This paper studies the problem of dynamic output feedback $ H_{\infty } $ H∞ control for continuous-time Takagi–Sugeno fuzzy systems. Based on the fuzzy Lyapunov functions without the special structure, a controller design method is developed and the relaxed stabilisation conditions are proposed. First, some shortcomings of the existing results are improved and a new approach is proposed for bounding the time derivatives of the membership functions. Then, less conservative conditions are obtained by introducing regulable parameters and applying the matrix decoupling techniques, which guarantee the prescribed $ H_{\infty } $ H∞ performance. Moreover, the relaxation technique proposed in this paper is also suitable for the fuzzy system with immeasurable premise variables. Finally, some examples are provided to demonstrate the validity of the approach.

Suggested Citation

  • Guolin Hu & Jian Zhang & Zhiguo Yan, 2022. "An improved approach to fuzzy dynamic output feedback H∞ control of continuous-time Takagi–Sugeno fuzzy systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(7), pages 1529-1544, May.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1529-1544
    DOI: 10.1080/00207721.2021.2013976
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    Cited by:

    1. Zhiguo Yan & Zhiwei Zhang & Guolin Hu & Baolong Zhu, 2022. "Observer-Based Finite-Time H ∞ Control of the Blood Gases System in Extracorporeal Circulation via the T-S Fuzzy Model," Mathematics, MDPI, vol. 10(12), pages 1-15, June.

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