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

Department of Electrical Engineering

Research output: Contribution to conference › Paper › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages	135-140
Number of pages	6
DOIs	https://doi.org/10.1109/ICNSC.2005.1461175
State	Published - 2005
Event	2005 IEEE Networking, Sensing and Control, ICNSC2005 - Tucson, AZ, United States Duration: 19 Mar 2005 → 22 Mar 2005

Conference

Conference	2005 IEEE Networking, Sensing and Control, ICNSC2005
Country/Territory	United States
City	Tucson, AZ
Period	19/03/05 → 22/03/05

Keywords

Fuzzy T-S discrete system
Relaxed stability conditions
Weighting dependent Lyapunov function

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10.1109/ICNSC.2005.1461175

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abstract = "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.",

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AU - Wang, Wen June

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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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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