Stability and robustness analysis and gain design for fuzzy control systems subject to parameter uncertainties

H. K. Lam; Hung Fat Frank Leung; P. K S Tam

Stability and robustness analysis and gain design for fuzzy control systems subject to parameter uncertainties

H. K. Lam, Hung Fat Frank Leung, P. K S Tam

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

4 Citations (Scopus)

Abstract

This paper presents the stability and robustness analysis for fuzzy control systems subject to parameter uncertainties, and the design of gains for the fuzzy controller. Based on Lyapunov stability theory, stability and robustness conditions will be derived. The stability conditions involves only p+1 linear matrix inequalities, where p is the number of rules of the fuzzy controller. A design methodology for the gains of the fuzzy controller will be given. An application example on stabilizing a nonlinear mass-spring-damper system subject to parameter uncertainties will be given to illustrate the merits of the proposed fuzzy controller.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Publisher	IEEE
Pages	682-687
Number of pages	6
Publication status	Published - 1 Jan 2000
Event	FUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems - San Antonio, TX, United States Duration: 7 May 2000 → 10 May 2000

Conference

Conference	FUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems
Country/Territory	United States
City	San Antonio, TX
Period	7/05/00 → 10/05/00

ASJC Scopus subject areas

Chemical Health and Safety
Software
Safety, Risk, Reliability and Quality

More information

http://hdl.handle.net/10397/1386

Cite this

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abstract = "This paper presents the stability and robustness analysis for fuzzy control systems subject to parameter uncertainties, and the design of gains for the fuzzy controller. Based on Lyapunov stability theory, stability and robustness conditions will be derived. The stability conditions involves only p+1 linear matrix inequalities, where p is the number of rules of the fuzzy controller. A design methodology for the gains of the fuzzy controller will be given. An application example on stabilizing a nonlinear mass-spring-damper system subject to parameter uncertainties will be given to illustrate the merits of the proposed fuzzy controller.",

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Stability and robustness analysis and gain design for fuzzy control systems subject to parameter uncertainties. / Lam, H. K.; Leung, Hung Fat Frank; Tam, P. K S.
IEEE International Conference on Fuzzy Systems. IEEE, 2000. p. 682-687.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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N2 - This paper presents the stability and robustness analysis for fuzzy control systems subject to parameter uncertainties, and the design of gains for the fuzzy controller. Based on Lyapunov stability theory, stability and robustness conditions will be derived. The stability conditions involves only p+1 linear matrix inequalities, where p is the number of rules of the fuzzy controller. A design methodology for the gains of the fuzzy controller will be given. An application example on stabilizing a nonlinear mass-spring-damper system subject to parameter uncertainties will be given to illustrate the merits of the proposed fuzzy controller.

AB - This paper presents the stability and robustness analysis for fuzzy control systems subject to parameter uncertainties, and the design of gains for the fuzzy controller. Based on Lyapunov stability theory, stability and robustness conditions will be derived. The stability conditions involves only p+1 linear matrix inequalities, where p is the number of rules of the fuzzy controller. A design methodology for the gains of the fuzzy controller will be given. An application example on stabilizing a nonlinear mass-spring-damper system subject to parameter uncertainties will be given to illustrate the merits of the proposed fuzzy controller.

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Stability and robustness analysis and gain design for fuzzy control systems subject to parameter uncertainties

Abstract

Conference

ASJC Scopus subject areas

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