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Finite-time stabilisation for discrete-time T–S fuzzy model system with channel fading and two types of parametric uncertainty

Author

Listed:
  • Chen Zheng
  • Jinde Cao
  • Manfeng Hu
  • Xiaozheng Fan

Abstract

In this paper, the problem of finite-time stabilisation is firstly studied for the Takagi–Sugeno (T–S) fuzzy model system with channel fading and parameter uncertainty. Two theorems are given for the cases with different types of uncertainty. The sufficient conditions in the form of the linear matrix inequalities are derived such that the stabilisation of the closed-loop system is guaranteed. At last, some illustrative examples are employed to demonstrate the efficiency of the results.

Suggested Citation

  • Chen Zheng & Jinde Cao & Manfeng Hu & Xiaozheng Fan, 2017. "Finite-time stabilisation for discrete-time T–S fuzzy model system with channel fading and two types of parametric uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 34-42, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:34-42
    DOI: 10.1080/00207721.2016.1146972
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    References listed on IDEAS

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    1. Weiming Xiang & Jian Xiao, 2013. "Finite-time stability and stabilisation for switched linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 384-400.
    2. Chih-Peng Huang, 2013. "Stability analysis and controller synthesis for fuzzy descriptor systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 23-33.
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    Cited by:

    1. Vimal Kumar, S. & Raja, R. & Marshal Anthoni, S. & Cao, Jinde & Tu, Zhengwen, 2018. "Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 483-497.

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