Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems: Distinct Lyapunov functions

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

Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems: Distinct Lyapunov functions

Hung Fat Frank Leung, H. K. Lam, 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

2 Citations (Scopus)

Abstract

This paper presents the stability and robustness analyses of an uncertain fuzzy control system which is formed by an uncertain fuzzy plant model and a fuzzy controller. The fuzzy plant model with parameter uncertainties describes exactly the behavior of an uncertain nonlinear plant. Three design approaches are introduced to close the feedback loop. Based on the Lyapunov's stability theory, new stability criteria and robust areas are to be derived without resorting to a common Lyapunov function. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to illustrate the merit.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Publisher	IEEE
Pages	577-582
Number of pages	6
Publication status	Published - 1 Jan 1998
Event	Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2) - Anchorage, AK, United States Duration: 4 May 1998 → 9 May 1998

Conference

Conference	Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2)
Country/Territory	United States
City	Anchorage, AK
Period	4/05/98 → 9/05/98

ASJC Scopus subject areas

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

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http://hdl.handle.net/10397/1403

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title = "Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems: Distinct Lyapunov functions",

abstract = "This paper presents the stability and robustness analyses of an uncertain fuzzy control system which is formed by an uncertain fuzzy plant model and a fuzzy controller. The fuzzy plant model with parameter uncertainties describes exactly the behavior of an uncertain nonlinear plant. Three design approaches are introduced to close the feedback loop. Based on the Lyapunov's stability theory, new stability criteria and robust areas are to be derived without resorting to a common Lyapunov function. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to illustrate the merit.",

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year = "1998",

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language = "English",

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Leung, HFF, Lam, HK & Tam, PKS 1998, Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems: Distinct Lyapunov functions. in IEEE International Conference on Fuzzy Systems. IEEE, pp. 577-582, Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2), Anchorage, AK, United States, 4/05/98. <http://hdl.handle.net/10397/1403>

Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems: Distinct Lyapunov functions. / Leung, Hung Fat Frank; Lam, H. K.; Tam, P. K S.
IEEE International Conference on Fuzzy Systems. IEEE, 1998. p. 577-582.

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

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AB - This paper presents the stability and robustness analyses of an uncertain fuzzy control system which is formed by an uncertain fuzzy plant model and a fuzzy controller. The fuzzy plant model with parameter uncertainties describes exactly the behavior of an uncertain nonlinear plant. Three design approaches are introduced to close the feedback loop. Based on the Lyapunov's stability theory, new stability criteria and robust areas are to be derived without resorting to a common Lyapunov function. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to illustrate the merit.

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Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems: Distinct Lyapunov functions

Abstract

Conference

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