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

^*Corresponding author for this work

City University of Hong Kong
University of Science and Technology of China

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › 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 27th Chinese Control Conference, CCC
Pages	727-731
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2008.4605728
State	Published - 2008
Externally published	Yes
Event	27th Chinese Control Conference, CCC - Kunming, Yunnan, China Duration: 16 Jul 2008 → 18 Jul 2008

Publication series

Name	Proceedings of the 27th Chinese Control Conference, CCC

Conference

Conference	27th Chinese Control Conference, CCC
Country/Territory	China
City	Kunming, Yunnan
Period	16/07/08 → 18/07/08

Keywords

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

Access to Document

10.1109/CHICC.2008.4605728

Cite this

@inproceedings{7cc71ebe99ff45c98d51798622b15459,

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",

doi = "10.1109/CHICC.2008.4605728",

language = "英语",

isbn = "9787900719706",

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

pages = "727--731",

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

note = "27th Chinese Control Conference, CCC ; 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 Proceedings of the 27th Chinese Control Conference, CCC., 4605728, Proceedings of the 27th Chinese Control Conference, CCC, pp. 727-731, 27th Chinese Control Conference, CCC, 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 27th Chinese Control Conference, CCC. 2008. p. 727-731 4605728 (Proceedings of the 27th Chinese Control Conference, CCC).

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

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AU - Fan, Yuan

PY - 2008

Y1 - 2008

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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T2 - 27th Chinese Control Conference, CCC

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