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H∞ Filter for Discrete-Time Takagi–Sugeno Fuzzy Systems with Time-Varying Delays via a Novel Wirtinger-Based Inequality.
- Source :
- Discrete Dynamics in Nature & Society; 6/29/2022, p1-13, 13p
- Publication Year :
- 2022
-
Abstract
- This paper is devoted to the analysis and design of H<superscript>∞</superscript> 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<superscript>∞</superscript> filter is obtained. Thus, utilizing the contract matrix transformation method, the H<superscript>∞</superscript> 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10260226
- Database :
- Complementary Index
- Journal :
- Discrete Dynamics in Nature & Society
- Publication Type :
- Academic Journal
- Accession number :
- 157708931
- Full Text :
- https://doi.org/10.1155/2022/6317958