Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control

Cailian Chen; Gang Feng

doi:10.1109/FUZZY.2005.1452541

Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control

Cailian Chen
, Gang Feng

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

9 Citations (Scopus)

Abstract

This paper concerns with the delay-dependent piecewise control problem for a class of time-delay T-S fuzzy systems based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DPLKF). A new partition approach for the premise variable space of the fuzzy model is presented to facilitate the piecewise feedback controller design. It is then shown that the global stabilization can be established for the closed-loop system if a DPLKF can be constructed by solving a set of linear matrix inequalities. Meanwhile, the piecewise controller gains can be obtained. Application to chaos control is given to demonstrate the effectiveness and advantage of the proposed method. © 2005 IEEE.

Original language	English
Title of host publication	Proceedings of the 14th IEEE International Conference on Fuzzy Systems. FUZZ-IEEE 2005.
Subtitle of host publication	Biggest Little Conference in the World
Publisher	IEEE
Pages	1056-1061
ISBN (Print)	0-7803-9159-4
DOIs	https://doi.org/10.1109/FUZZY.2005.1452541
Publication status	Published - 2005
Event	The 14th IEEE International Conference on Fuzzy Systems - Reno, United States Duration: 22 May 2005 → 25 May 2005

Publication series

Name	IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
Publisher	IEEE
ISSN (Print)	1098-7584

Conference

Conference	The 14th IEEE International Conference on Fuzzy Systems
Abbreviated title	FUZZ-IEEE 2005
Place	United States
City	Reno
Period	22/05/05 → 25/05/05

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Chen, C., & Feng, G. (2005). Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control. In Proceedings of the 14th IEEE International Conference on Fuzzy Systems. FUZZ-IEEE 2005.: Biggest Little Conference in the World (pp. 1056-1061). (IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)). IEEE. https://doi.org/10.1109/FUZZY.2005.1452541

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title = "Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control",

abstract = "This paper concerns with the delay-dependent piecewise control problem for a class of time-delay T-S fuzzy systems based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DPLKF). A new partition approach for the premise variable space of the fuzzy model is presented to facilitate the piecewise feedback controller design. It is then shown that the global stabilization can be established for the closed-loop system if a DPLKF can be constructed by solving a set of linear matrix inequalities. Meanwhile, the piecewise controller gains can be obtained. Application to chaos control is given to demonstrate the effectiveness and advantage of the proposed method. {\textcopyright} 2005 IEEE.",

author = "Cailian Chen and Gang Feng",

year = "2005",

doi = "10.1109/FUZZY.2005.1452541",

language = "English",

isbn = "0-7803-9159-4",

series = "IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)",

publisher = "IEEE",

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booktitle = "Proceedings of the 14th IEEE International Conference on Fuzzy Systems. FUZZ-IEEE 2005.",

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Chen, C & Feng, G 2005, Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control. in Proceedings of the 14th IEEE International Conference on Fuzzy Systems. FUZZ-IEEE 2005.: Biggest Little Conference in the World. IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), IEEE, pp. 1056-1061, The 14th IEEE International Conference on Fuzzy Systems, Reno, Nevada, United States, 22/05/05. https://doi.org/10.1109/FUZZY.2005.1452541

Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control. / Chen, Cailian; Feng, Gang.
Proceedings of the 14th IEEE International Conference on Fuzzy Systems. FUZZ-IEEE 2005.: Biggest Little Conference in the World. IEEE, 2005. p. 1056-1061 (IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)).

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

TY - GEN

T1 - Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control

AU - Chen, Cailian

AU - Feng, Gang

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N2 - This paper concerns with the delay-dependent piecewise control problem for a class of time-delay T-S fuzzy systems based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DPLKF). A new partition approach for the premise variable space of the fuzzy model is presented to facilitate the piecewise feedback controller design. It is then shown that the global stabilization can be established for the closed-loop system if a DPLKF can be constructed by solving a set of linear matrix inequalities. Meanwhile, the piecewise controller gains can be obtained. Application to chaos control is given to demonstrate the effectiveness and advantage of the proposed method. © 2005 IEEE.

AB - This paper concerns with the delay-dependent piecewise control problem for a class of time-delay T-S fuzzy systems based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DPLKF). A new partition approach for the premise variable space of the fuzzy model is presented to facilitate the piecewise feedback controller design. It is then shown that the global stabilization can be established for the closed-loop system if a DPLKF can be constructed by solving a set of linear matrix inequalities. Meanwhile, the piecewise controller gains can be obtained. Application to chaos control is given to demonstrate the effectiveness and advantage of the proposed method. © 2005 IEEE.

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

SN - 0-7803-9159-4

T3 - IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)

SP - 1056

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BT - Proceedings of the 14th IEEE International Conference on Fuzzy Systems. FUZZ-IEEE 2005.

PB - IEEE

T2 - The 14th IEEE International Conference on Fuzzy Systems

Y2 - 22 May 2005 through 25 May 2005

ER -

Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control

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