A study of feedback control of T-S model stochastic systems with time delay

Ligang Wu; Wei Xing Zheng

A study of feedback control of T-S model stochastic systems with time delay

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for a desired fuzzy dynamic feedback controller is presented so as to guarantee a prescribed noise attenuation level in an Lscr2-Lscrinfin sense. The presented theory and methodology are supported by numerical results.

Original language	English
Title of host publication	Proceedings of 2009 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27 Ã¢€“ 29 August 2009
Publisher	IEEE
Pages	1028-1033
Number of pages	6
ISBN (Print)	9788995605622
Publication status	Published - 2009
Event	Asian Control Conference - Duration: 15 May 2011 → …

Conference

Conference	Asian Control Conference
Period	15/05/11 → …

Cite this

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title = "A study of feedback control of T-S model stochastic systems with time delay",

abstract = "This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for a desired fuzzy dynamic feedback controller is presented so as to guarantee a prescribed noise attenuation level in an Lscr2-Lscrinfin sense. The presented theory and methodology are supported by numerical results.",

author = "Ligang Wu and Zheng, {Wei Xing}",

year = "2009",

language = "English",

isbn = "9788995605622",

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note = "Asian Control Conference ; Conference date: 15-05-2011",

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T1 - A study of feedback control of T-S model stochastic systems with time delay

AU - Wu, Ligang

AU - Zheng, Wei Xing

PY - 2009

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N2 - This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for a desired fuzzy dynamic feedback controller is presented so as to guarantee a prescribed noise attenuation level in an Lscr2-Lscrinfin sense. The presented theory and methodology are supported by numerical results.

AB - This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for a desired fuzzy dynamic feedback controller is presented so as to guarantee a prescribed noise attenuation level in an Lscr2-Lscrinfin sense. The presented theory and methodology are supported by numerical results.

UR - http://handle.uws.edu.au:8081/1959.7/559061

UR - http://asia-control.org/Conference/ASCC.asp

M3 - Conference Paper

SN - 9788995605622

SP - 1028

EP - 1033

BT - Proceedings of 2009 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27 Ã¢€“ 29 August 2009

PB - IEEE

T2 - Asian Control Conference

Y2 - 15 May 2011

ER -

A study of feedback control of T-S model stochastic systems with time delay

Abstract

Conference

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