New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay

Fang Liu; Min Wu; Yong He; Yicheng Zhou; Ryuichi Yokoyama

doi:10.1109/CHICC.2008.4605411

New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay

Fang Liu^*, Min Wu, Yong He, Yicheng Zhou, Ryuichi Yokoyama

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Citations (Scopus)

Abstract

This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.

Original language	English
Title of host publication	Proceedings of the 27th Chinese Control Conference, CCC
Pages	340-344
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2008.4605411
Publication status	Published - 2008
Event	27th Chinese Control Conference, CCC - Kunming, Yunnan Duration: 2008 Jul 16 → 2008 Jul 18

Other

Other	27th Chinese Control Conference, CCC
City	Kunming, Yunnan
Period	08/7/16 → 08/7/18

Keywords

Asymptotic stability
Design method
State feedback
T-S fuzzy systems
Time-varying delay

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1109/CHICC.2008.4605411

Cite this

@inproceedings{4b385b966feb4cdc8f906386531b8fa6,

title = "New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay",

abstract = "This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.",

keywords = "Asymptotic stability, Design method, State feedback, T-S fuzzy systems, Time-varying delay",

author = "Fang Liu and Min Wu and Yong He and Yicheng Zhou and Ryuichi Yokoyama",

year = "2008",

doi = "10.1109/CHICC.2008.4605411",

language = "English",

isbn = "9787900719706",

pages = "340--344",

booktitle = "Proceedings of the 27th Chinese Control Conference, CCC",

note = "27th Chinese Control Conference, CCC ; Conference date: 16-07-2008 Through 18-07-2008",

}

TY - GEN

T1 - New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay

AU - Liu, Fang

AU - Wu, Min

AU - He, Yong

AU - Zhou, Yicheng

AU - Yokoyama, Ryuichi

PY - 2008

Y1 - 2008

N2 - This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.

AB - This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.

KW - Asymptotic stability

KW - Design method

KW - State feedback

KW - T-S fuzzy systems

KW - Time-varying delay

UR - http://www.scopus.com/inward/record.url?scp=52449087720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52449087720&partnerID=8YFLogxK

U2 - 10.1109/CHICC.2008.4605411

DO - 10.1109/CHICC.2008.4605411

M3 - Conference contribution

AN - SCOPUS:52449087720

SN - 9787900719706

SP - 340

EP - 344

BT - Proceedings of the 27th Chinese Control Conference, CCC

T2 - 27th Chinese Control Conference, CCC

Y2 - 16 July 2008 through 18 July 2008

ER -

New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay

Abstract

Other

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this