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

Wanru Wang, Yonggang Wen, Liankun Sun, Kaifan Ma and Ya Jia

Discrete Dynamics in Nature and Society, 2022, vol. 2022, 1-13

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6317958

DOI: 10.1155/2022/6317958

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