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Improved Results on Fuzzy Filter Design for T-S Fuzzy Systems

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  • Jiyao An
  • Guilin Wen
  • Wei Xu

Abstract

The fuzzy filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzy filter is designed to ensure that the filter error system is asymptotically stable and has a prescribed performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.

Suggested Citation

  • Jiyao An & Guilin Wen & Wei Xu, 2010. "Improved Results on Fuzzy Filter Design for T-S Fuzzy Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-21, September.
    • Handle: RePEc:hin:jnddns:392915
    DOI: 10.1155/2010/392915
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    1. Hussain, Shahid & Irshad, Reyazur Rashid & Pallonetto, Fabiano & Hussain, Ihtisham & Hussain, Zakir & Tahir, Muhammad & Abimannan, Satheesh & Shukla, Saurabh & Yousif, Adil & Kim, Yun-Su & El-Sayed, H, 2023. "Hybrid coordination scheme based on fuzzy inference mechanism for residential charging of electric vehicles," Applied Energy, Elsevier, vol. 352(C).

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