Approaches to Delay-Dependent Robust ℋ∞ Control of Uncertain Discrete-Time T-S Fuzzy Systems with Interval Time-Varying Delay

Jianbin Qiu; Gang Feng; Jie Yang; Yuan Fan

doi:10.1109/CHICC.2008.4605728

Approaches to Delay-Dependent Robust ℋ_∞ Control of Uncertain Discrete-Time T-S Fuzzy Systems with Interval Time-Varying Delay

Jianbin Qiu
, Gang Feng
, Jie Yang
, Yuan Fan

USTC-CityU Joint Advanced Research Centre (Suzhou)

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

Abstract

This paper investigates the problem of delay-dependent robust ℋ_∞ state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust ℋ_∞ controller synthesis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.

Original language	English
Title of host publication	Proceedings of the 27^th Chinese Control Conference
Editors	D. Z. Cheng, C. Li
Pages	727-731
DOIs	https://doi.org/10.1109/CHICC.2008.4605728
Publication status	Published - Jul 2008
Event	27th Chinese Control Conference (CCC' 08) - Kunming, Yunnan, China Duration: 16 Jul 2008 → 18 Jul 2008

Conference

Conference	27th Chinese Control Conference (CCC' 08)
Place	China
City	Kunming, Yunnan
Period	16/07/08 → 18/07/08

Research Keywords

Delay-dependent
Discrete-time T-S fuzzy systems
Linear matrix inequalities
Linear-fractional uncertainties
Robust control
Time-delay systems

Access Output

10.1109/CHICC.2008.4605728

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Cite this

@inproceedings{b51b745ca14446ffb143db637b158fd6,

title = "Approaches to Delay-Dependent Robust ℋ∞ Control of Uncertain Discrete-Time T-S Fuzzy Systems with Interval Time-Varying Delay",

abstract = "This paper investigates the problem of delay-dependent robust ℋ∞ state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust ℋ∞ controller synthesis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.",

keywords = "Delay-dependent, Discrete-time T-S fuzzy systems, Linear matrix inequalities, Linear-fractional uncertainties, Robust control, Time-delay systems",

author = "Jianbin Qiu and Gang Feng and Jie Yang and Yuan Fan",

year = "2008",

month = jul,

doi = "10.1109/CHICC.2008.4605728",

language = "English",

isbn = "9787900719706",

pages = "727--731",

editor = "Cheng, \{D. Z.\} and C. Li",

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

note = "27th Chinese Control Conference (CCC' 08) ; Conference date: 16-07-2008 Through 18-07-2008",

}

Qiu, J, Feng, G, Yang, J & Fan, Y 2008, Approaches to Delay-Dependent Robust ℋ_∞ Control of Uncertain Discrete-Time T-S Fuzzy Systems with Interval Time-Varying Delay. in DZ Cheng & C Li (eds), Proceedings of the 27^th Chinese Control Conference., 4605728, pp. 727-731, 27th Chinese Control Conference (CCC' 08), Kunming, Yunnan, China, 16/07/08. https://doi.org/10.1109/CHICC.2008.4605728

Approaches to Delay-Dependent Robust ℋ_∞ Control of Uncertain Discrete-Time T-S Fuzzy Systems with Interval Time-Varying Delay. / Qiu, Jianbin; Feng, Gang; Yang, Jie et al.
Proceedings of the 27^th Chinese Control Conference. ed. / D. Z. Cheng; C. Li. 2008. p. 727-731 4605728.

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

TY - GEN

T1 - Approaches to Delay-Dependent Robust ℋ∞ Control of Uncertain Discrete-Time T-S Fuzzy Systems with Interval Time-Varying Delay

AU - Qiu, Jianbin

AU - Feng, Gang

AU - Yang, Jie

AU - Fan, Yuan

PY - 2008/7

Y1 - 2008/7

N2 - This paper investigates the problem of delay-dependent robust ℋ∞ state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust ℋ∞ controller synthesis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.

AB - This paper investigates the problem of delay-dependent robust ℋ∞ state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust ℋ∞ controller synthesis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.

KW - Delay-dependent

KW - Discrete-time T-S fuzzy systems

KW - Linear matrix inequalities

KW - Linear-fractional uncertainties

KW - Robust control

KW - Time-delay systems

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DO - 10.1109/CHICC.2008.4605728

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

SN - 9787900719706

SP - 727

EP - 731

BT - Proceedings of the 27th Chinese Control Conference

A2 - Cheng, D. Z.

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T2 - 27th Chinese Control Conference (CCC' 08)

Y2 - 16 July 2008 through 18 July 2008

ER -