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H∞ Filter for Discrete-Time Takagi–Sugeno Fuzzy Systems with Time-Varying Delays via a Novel Wirtinger-Based Inequality

Author

Listed:
  • Wanru Wang
  • Yonggang Wen
  • Liankun Sun
  • Kaifan Ma
  • Ya Jia

Abstract

This paper is devoted to the analysis and design of H∞ filtering for discrete-time Takagi–Sugeno (TS) fuzzy systems with time-varying delays. By using the delay-partitioning method, more systematic information is introduced, which can reduce the conservatism of the conclusion. By constructing an appropriate Lyapunov functional and combining with a newly Wirtinger-based summation inequality, the existence condition of the H∞ filter is obtained. Thus, utilizing the contract matrix transformation method, the H∞ filter design for discrete-time TS fuzzy systems with time-varying delay based on LMI is proposed. Finally, a few numerical analysis results are given to prove the effectiveness of the method.

Suggested Citation

  • Wanru Wang & Yonggang Wen & Liankun Sun & Kaifan Ma & Ya Jia, 2022. "H∞ Filter for Discrete-Time Takagi–Sugeno Fuzzy Systems with Time-Varying Delays via a Novel Wirtinger-Based Inequality," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-13, June.
    • Handle: RePEc:hin:jnddns:6317958
    DOI: 10.1155/2022/6317958
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