A delay-dependent stability criteria for T-S fuzzy system with time-delays

Xinping Guan; Fenglei Li; Cailian Chen

doi:10.3182/20050703-6-cz-1902.01145

A delay-dependent stability criteria for T-S fuzzy system with time-delays

Xinping Guan
, Fenglei Li
, Cailian Chen

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

This paper addresses the criterion of delay-dependent stability for nonlinear systems with time-delays which can be represented by Takagi.Sugeno (T.S) fuzzy model with time-delays. Based on Leibniz-Newton formula, the effect of states and the delay states to the stability is considered to construct a Lyapunov functional and to form some special equations, which facilitate proposing a new delay-dependent stability criterion with less conservatism compared with the existing methods, which breaked through the limit to the varying ratio of time- delay. An illustrative example is presented to demonstrate the validity of the proposed stability criterion. Copyright © 2005 IFAC.

Original language	English
Title of host publication	Proceedings of the 16th IFAC World Congress, IFAC 2005
Publisher	IFAC Secretariat
Pages	402-406
Volume	16
ISBN (Print)	008045108, 9780080451084
DOIs	https://doi.org/10.3182/20050703-6-cz-1902.01145
Publication status	Published - 2005

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	16
ISSN (Print)	1474-6670

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

Partially supported by NSFC (NO. 60274023).

Research Keywords

Delay-dependent stability
Leibniz-Newton formula
Linear matrix inequality(LMI)
Takagi.Sugeno (T.S) fuzzy system

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title = "A delay-dependent stability criteria for T-S fuzzy system with time-delays",

abstract = "This paper addresses the criterion of delay-dependent stability for nonlinear systems with time-delays which can be represented by Takagi.Sugeno (T.S) fuzzy model with time-delays. Based on Leibniz-Newton formula, the effect of states and the delay states to the stability is considered to construct a Lyapunov functional and to form some special equations, which facilitate proposing a new delay-dependent stability criterion with less conservatism compared with the existing methods, which breaked through the limit to the varying ratio of time- delay. An illustrative example is presented to demonstrate the validity of the proposed stability criterion. Copyright {\textcopyright} 2005 IFAC.",

keywords = "Delay-dependent stability, Leibniz-Newton formula, Linear matrix inequality(LMI), Takagi.Sugeno (T.S) fuzzy system",

author = "Xinping Guan and Fenglei Li and Cailian Chen",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].",

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doi = "10.3182/20050703-6-cz-1902.01145",

language = "English",

isbn = "008045108",

volume = "16",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

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A delay-dependent stability criteria for T-S fuzzy system with time-delays. / Guan, Xinping; Li, Fenglei; Chen, Cailian.
Proceedings of the 16th IFAC World Congress, IFAC 2005. Vol. 16 IFAC Secretariat, 2005. p. 402-406 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - A delay-dependent stability criteria for T-S fuzzy system with time-delays

AU - Guan, Xinping

AU - Li, Fenglei

AU - Chen, Cailian

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2005

Y1 - 2005

N2 - This paper addresses the criterion of delay-dependent stability for nonlinear systems with time-delays which can be represented by Takagi.Sugeno (T.S) fuzzy model with time-delays. Based on Leibniz-Newton formula, the effect of states and the delay states to the stability is considered to construct a Lyapunov functional and to form some special equations, which facilitate proposing a new delay-dependent stability criterion with less conservatism compared with the existing methods, which breaked through the limit to the varying ratio of time- delay. An illustrative example is presented to demonstrate the validity of the proposed stability criterion. Copyright © 2005 IFAC.

AB - This paper addresses the criterion of delay-dependent stability for nonlinear systems with time-delays which can be represented by Takagi.Sugeno (T.S) fuzzy model with time-delays. Based on Leibniz-Newton formula, the effect of states and the delay states to the stability is considered to construct a Lyapunov functional and to form some special equations, which facilitate proposing a new delay-dependent stability criterion with less conservatism compared with the existing methods, which breaked through the limit to the varying ratio of time- delay. An illustrative example is presented to demonstrate the validity of the proposed stability criterion. Copyright © 2005 IFAC.

KW - Delay-dependent stability

KW - Leibniz-Newton formula

KW - Linear matrix inequality(LMI)

KW - Takagi.Sugeno (T.S) fuzzy system

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DO - 10.3182/20050703-6-cz-1902.01145

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 008045108

SN - 9780080451084

VL - 16

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

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BT - Proceedings of the 16th IFAC World Congress, IFAC 2005

PB - IFAC Secretariat

ER -

A delay-dependent stability criteria for T-S fuzzy system with time-delays

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