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An iterative observer-based fault estimation for discrete-time T-S fuzzy systems

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  • Yongsheng Ma
  • Mouquan Shen
  • Haiping Du
  • Yuesheng Ren
  • Guangrui Bian

Abstract

An improved iterative observer for fault estimation of discrete-time T-S fuzzy systems is discussed in this paper. A discrete mean value convergence lemma is proposed firstly. Based on this lemma, a sequence of iterative observers are constructed to estimate the unknown fault. By choosing a general Lyapunov function, conditions for the resultant augmented system to be asymptotically stable with the required $H_\infty $H∞ performance are built in the framework of linear matrix inequalities. With the established conditions, an iterative algorithm is developed to realise the fault estimation. A numerical example is provided to verify the effectiveness of the proposed method.

Suggested Citation

  • Yongsheng Ma & Mouquan Shen & Haiping Du & Yuesheng Ren & Guangrui Bian, 2020. "An iterative observer-based fault estimation for discrete-time T-S fuzzy systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(6), pages 1007-1018, April.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1007-1018
    DOI: 10.1080/00207721.2020.1746440
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    Cited by:

    1. Bhuvaneshwari, G. & Prakash, M. & Rakkiyappan, R. & Manivannan, A., 2023. "Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 778-793.

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