H∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller

Ying Jen Chen; Hiroshi Ohtake; Kazuo Tanaka; Wen June Wang; Hua O. Wang

doi:10.1109/CDC.2009.5400330

H_∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller

Ying Jen Chen, Hiroshi Ohtake, Kazuo Tanaka, Wen June Wang, Hua O. Wang

Department of Electrical Engineering

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

Abstract

In this study, the piecewise Lyapunov function based switching fuzzy controller is proposed to get a relaxed criterion for the H_∞ control of continuous T-S fuzzy systems. The particle swarm optimization (PSO) algorithm, which is useful for nonlinear optimization problem, is utilized with the LMI tool to get the optimal H_∞ performance due to that some conditions of the criterion are bilinear with the s-procedure parameters. The simulation results have shown the validity of the proposed H_∞ control method.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3087-3092
Number of pages	6
ISBN (Print)	9781424438716
DOIs	https://doi.org/10.1109/CDC.2009.5400330
State	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: 15 Dec 2009 → 18 Dec 2009

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/Territory	China
City	Shanghai
Period	15/12/09 → 18/12/09

Access to Document

10.1109/CDC.2009.5400330

Cite this

Chen, Y. J., Ohtake, H., Tanaka, K., Wang, W. J., & Wang, H. O. (2009). H_∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 3087-3092). Article 5400330 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5400330

Chen, Ying Jen ; Ohtake, Hiroshi ; Tanaka, Kazuo et al. / H_∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. pp. 3087-3092 (Proceedings of the IEEE Conference on Decision and Control).

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title = "H∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller",

abstract = "In this study, the piecewise Lyapunov function based switching fuzzy controller is proposed to get a relaxed criterion for the H∞ control of continuous T-S fuzzy systems. The particle swarm optimization (PSO) algorithm, which is useful for nonlinear optimization problem, is utilized with the LMI tool to get the optimal H∞ performance due to that some conditions of the criterion are bilinear with the s-procedure parameters. The simulation results have shown the validity of the proposed H∞ control method.",

author = "Chen, {Ying Jen} and Hiroshi Ohtake and Kazuo Tanaka and Wang, {Wen June} and Wang, {Hua O.}",

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booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",

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Chen, YJ, Ohtake, H, Tanaka, K, Wang, WJ & Wang, HO 2009, H_∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400330, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3087-3092, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 15/12/09. https://doi.org/10.1109/CDC.2009.5400330

H_∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller. / Chen, Ying Jen; Ohtake, Hiroshi; Tanaka, Kazuo et al.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. p. 3087-3092 5400330 (Proceedings of the IEEE Conference on Decision and Control).

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

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AB - In this study, the piecewise Lyapunov function based switching fuzzy controller is proposed to get a relaxed criterion for the H∞ control of continuous T-S fuzzy systems. The particle swarm optimization (PSO) algorithm, which is useful for nonlinear optimization problem, is utilized with the LMI tool to get the optimal H∞ performance due to that some conditions of the criterion are bilinear with the s-procedure parameters. The simulation results have shown the validity of the proposed H∞ control method.

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Chen YJ, Ohtake H, Tanaka K, Wang WJ, Wang HO. H_∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc. 2009. p. 3087-3092. 5400330. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2009.5400330