Nonfragile \(H_\infty\) filter design for nonlinear continuous-time system with interval time-varying delay
type: Item
instance of: scholarly article
title: Nonfragile \(H_\infty\) filter design for nonlinear continuous-time system with interval time-varying delay
zbMATH Open document ID: 1403.93187
DOI: 10.1155/2018/8198603
author: Y. Aharonov
published in: Journal of Control Science and Engineering
publication date: 2018-12-12T00:00:00Z
review text: Summary: This paper investigates nonfragile \(H_\infty\) filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter's implementation, to handle this variations, a nonfragile \(H_\infty\) filter is presented and a novel filtering error system is established. The nonfragile \(H_\infty\) filter guarantees the filtering error system to be asymptotically stable and satisfies given \(H_\infty\) performance index. By constructing a novel Lyapunov-Krasovskii function and using Linear Matrix Inequalities (LMIs), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing \(H_\infty\) filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of LMIs. Finally, numerical examples are given to show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6992165
zbMATH Keywords: asymptotic stability
zbMATH Keywords: nonfragile \(H_\infty\) filter
zbMATH Keywords: Takagi-Sugeno fuzzy systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8198603
OpenAlex ID: W2891255798
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description: scientific article; zbMATH DE number 6992165