Nonfragile H Filter Design for T-S Fuzzy Systems in Standard Form

This paper is concerned with the problem of nonfragile H ∞ filtering for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The filter to be designed is assumed to have two types of multiplicative gain variations. First, two relaxed H ∞ filtering analysis conditions are proposed based on useful line...

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Bibliographic Details
Published inIEEE transactions on industrial electronics (1982) Vol. 61; no. 7; pp. 3448 - 3458
Main Authors Chang, Xiao-Heng, Yang, Guang-Hong
Format Journal Article
LanguageEnglish
Published IEEE 01.07.2014
Subjects
Design methodology
Educational institutions
Fuzzy systems
Linear matrix inequalities
Multiplicative gain variations
Noise
nonfragile H_{\infty} filtering
standard form
Takagi-Sugeno (T-S) fuzzy systems
Takagi-Sugeno model
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Summary:This paper is concerned with the problem of nonfragile H ∞ filtering for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The filter to be designed is assumed to have two types of multiplicative gain variations. First, two relaxed H ∞ filtering analysis conditions are proposed based on useful linear matrix inequality preliminaries. Whereafter, the results are exploited to derive sufficient conditions for designing a nonfragile H ∞ filter, which guarantees a prescribed H ∞ performance of the filtering error system. Compared with the existing results, the proposed design methods not only suit for a standard form of the fuzzy filter but also give more relaxed design conditions. Finally, simulation examples will be given to show the efficiency of the proposed design methods.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2013.2278955