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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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
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Abstract 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.
AbstractList 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.
Author Guang-Hong Yang
Xiao-Heng Chang
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Snippet 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...
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SubjectTerms 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
Title Nonfragile H Filter Design for T-S Fuzzy Systems in Standard Form
URI https://ieeexplore.ieee.org/document/6583251
Volume 61
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