A weighting dependent Lyapunov function based relaxed stability criterion for T-S fuzzy discrete systems

Wen June Wang; Chung Hsun Sun

doi:10.1109/ICNSC.2005.1461175

A weighting dependent Lyapunov function based relaxed stability criterion for T-S fuzzy discrete systems

Wen June Wang
, Chung Hsun Sun

電機工程學系

研究成果: 會議貢獻類型 › 會議論文 › 同行評審

4 引文斯高帕斯（Scopus）

摘要

A weighting dependent Lyapunov function based stability criterion for T-S fuzzy discrete systems has been studied in lots of literature. That is to find out r (number of rules) symmetric positive matrices P_is to satisfy r² Lyapunov inequalities. The aim of this paper is to reduce the Lyapunov inequalities which should be satisfied with positive matrices P _is then the conservatism of the stability conditions would be relaxed. From the viewpoint of the group of firing rules and the maximum distance between two successive states of the system, a new relaxed stability criterion based on the weighting dependent Lyapunov function is proposed. Finally, an example is illustrated to show the relaxation effectiveness of the proposed stability criterion.

原文	???core.languages.en_GB???
頁面	135-140
頁數	6
DOIs	https://doi.org/10.1109/ICNSC.2005.1461175
出版狀態	已出版 - 2005
事件	2005 IEEE Networking, Sensing and Control, ICNSC2005 - Tucson, AZ, United States 持續時間: 19 3月 2005 → 22 3月 2005

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	2005 IEEE Networking, Sensing and Control, ICNSC2005
國家/地區	United States
城市	Tucson, AZ
期間	19/03/05 → 22/03/05

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10.1109/ICNSC.2005.1461175

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AU - Sun, Chung Hsun

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AB - A weighting dependent Lyapunov function based stability criterion for T-S fuzzy discrete systems has been studied in lots of literature. That is to find out r (number of rules) symmetric positive matrices Pis to satisfy r2 Lyapunov inequalities. The aim of this paper is to reduce the Lyapunov inequalities which should be satisfied with positive matrices P is then the conservatism of the stability conditions would be relaxed. From the viewpoint of the group of firing rules and the maximum distance between two successive states of the system, a new relaxed stability criterion based on the weighting dependent Lyapunov function is proposed. Finally, an example is illustrated to show the relaxation effectiveness of the proposed stability criterion.

KW - Fuzzy T-S discrete system

KW - Relaxed stability conditions

KW - Weighting dependent Lyapunov function

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DO - 10.1109/ICNSC.2005.1461175

M3 - 會議論文

AN - SCOPUS:33745134035

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T2 - 2005 IEEE Networking, Sensing and Control, ICNSC2005

Y2 - 19 March 2005 through 22 March 2005

ER -

A weighting dependent Lyapunov function based relaxed stability criterion for T-S fuzzy discrete systems

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