Asynchronous fault detection filtering design for continuous-time T-S fuzzy affine dynamic systems in finite-frequency domain

Rong Zhao; Lu Liu; Gang Feng

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Asynchronous fault detection filtering design for continuous-time T-S fuzzy affine dynamic systems in finite-frequency domain

机译：Asynchronous fault detection filtering design for continuous-time T-S fuzzy affine dynamic systems in finite-frequency domain

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摘要

This paper investigates the problem of asynchronous fault detection filtering design for continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems in finite-frequency domain. The objective is to design an admissible piecewise affine filter such that the asymptotic stability of the filtering error system with the prescribed finite-frequency H_- /H_∞ performance can be guaranteed. It is assumed that the premise variables of the plant are unmeasurable so that the filter state transition and the plant state transition may be asynchronous. By applying the celebrated S-procedure, the generalized Kalman-Yakubovic-Popov lemma is extended such that the finite-frequency H_- /H_∞ performance of the fuzzy affine filtering error system is ensured. Furthermore, by utilizing piece-wise quadratic Lyapunov functions, Projection lemma, and some matrix inequality linearization techniques, the finite-frequency fault detection filtering design approach is developed for the concerned T-S fuzzy affine dynamic system. It is shown that sufficient conditions for the existence of the fault detection filter are formulated as feasibility of a set of linear matrix inequalities. Finally, the effectiveness and advantages of the proposed design approach are illustrated by simulation studies.

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来源
《Fuzzy sets and systems》 |2023年第10期|168-190|共23页
作者
Rong Zhao; Lu Liu; Gang Feng;
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作者单位

Department of Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region;

City University of Hong Kong Chengdu Research Institute, Chengdu 610200, China, Department of Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
Fault detection; H_- /H_∞ filtering; Asynchronous filtering; Finite-frequency domain; Takagi-Sugeno (T-S) fuzzy affine systems;

Asynchronous fault detection filtering design for continuous-time T-S fuzzy affine dynamic systems in finite-frequency domain

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