Robust H∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state

Taek Ryong Kim; Jin Bae Park; Young Hoon Joo

Robust H_∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state

Taek Ryong Kim, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

Abstract

This paper addresses a robust H_∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

Original language	English
Title of host publication	Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings
Publisher	Springer Verlag
Pages	21-30
Number of pages	10
ISBN (Print)	3540459162, 9783540459163
Publication status	Published - 2006 Jan 1
Event	3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006 - Xi'an, China Duration: 2006 Sept 24 → 2006 Sept 28

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4223 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006
Country/Territory	China
City	Xi'an
Period	06/9/24 → 06/9/28

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Cite this

Kim, T. R., Park, J. B., & Joo, Y. H. (2006). Robust H_∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state. In Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings (pp. 21-30). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4223 LNAI). Springer Verlag.

Kim, Taek Ryong ; Park, Jin Bae ; Joo, Young Hoon. / Robust H_∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state. Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Springer Verlag, 2006. pp. 21-30 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Robust H∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state",

abstract = "This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.",

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series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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Kim, TR, Park, JB & Joo, YH 2006, Robust H_∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state. in Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4223 LNAI, Springer Verlag, pp. 21-30, 3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006, Xi'an, China, 06/9/24.

Robust H_∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state. / Kim, Taek Ryong; Park, Jin Bae; Joo, Young Hoon.
Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Springer Verlag, 2006. p. 21-30 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4223 LNAI).

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

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N2 - This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

AB - This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

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Kim TR, Park JB, Joo YH. Robust H_∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state. In Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Springer Verlag. 2006. p. 21-30. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).