Lyapunov function based design of heuristic fuzzy logic controllers

L. K. Wong; Hung Fat Frank Leung; P. K S Tam

Lyapunov function based design of heuristic fuzzy logic controllers

L. K. Wong, 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

14 Citations (Scopus)

Abstract

A stability design of fuzzy logic controllers (FLCs) for non-linear systems is proposed in this paper. In heuristic design of FLCs, we often have a lot of rules. Although each rule governing the control of the plant refers to a stable closed-loop sub-system, the overall system stability cannot be guaranteed when all of these rules are put together into a rule base for the FLC. This limitation is tackled in this paper. It is shown that on adding arbitrary rules to the FLC without any restriction on the form of membership functions, the system stability can be ensured if each individual rule applying to the plant results in a stable sub-system in the sense of Lyapunov subject to a common Lyapunov function for all rules. Analytical proof of the result is given and its application on designing a heuristic of FLC is illustrated through an example.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Publisher	IEEE
Pages	281-285
Number of pages	5
Publication status	Published - 1 Jan 1997
Event	Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3) - Barcelona, Spain Duration: 1 Jul 1997 → 5 Jul 1997

Conference

Conference	Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3)
Country/Territory	Spain
City	Barcelona
Period	1/07/97 → 5/07/97

ASJC Scopus subject areas

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

More information

http://hdl.handle.net/10397/1380

Cite this

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title = "Lyapunov function based design of heuristic fuzzy logic controllers",

abstract = "A stability design of fuzzy logic controllers (FLCs) for non-linear systems is proposed in this paper. In heuristic design of FLCs, we often have a lot of rules. Although each rule governing the control of the plant refers to a stable closed-loop sub-system, the overall system stability cannot be guaranteed when all of these rules are put together into a rule base for the FLC. This limitation is tackled in this paper. It is shown that on adding arbitrary rules to the FLC without any restriction on the form of membership functions, the system stability can be ensured if each individual rule applying to the plant results in a stable sub-system in the sense of Lyapunov subject to a common Lyapunov function for all rules. Analytical proof of the result is given and its application on designing a heuristic of FLC is illustrated through an example.",

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AU - Leung, Hung Fat Frank

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N2 - A stability design of fuzzy logic controllers (FLCs) for non-linear systems is proposed in this paper. In heuristic design of FLCs, we often have a lot of rules. Although each rule governing the control of the plant refers to a stable closed-loop sub-system, the overall system stability cannot be guaranteed when all of these rules are put together into a rule base for the FLC. This limitation is tackled in this paper. It is shown that on adding arbitrary rules to the FLC without any restriction on the form of membership functions, the system stability can be ensured if each individual rule applying to the plant results in a stable sub-system in the sense of Lyapunov subject to a common Lyapunov function for all rules. Analytical proof of the result is given and its application on designing a heuristic of FLC is illustrated through an example.

AB - A stability design of fuzzy logic controllers (FLCs) for non-linear systems is proposed in this paper. In heuristic design of FLCs, we often have a lot of rules. Although each rule governing the control of the plant refers to a stable closed-loop sub-system, the overall system stability cannot be guaranteed when all of these rules are put together into a rule base for the FLC. This limitation is tackled in this paper. It is shown that on adding arbitrary rules to the FLC without any restriction on the form of membership functions, the system stability can be ensured if each individual rule applying to the plant results in a stable sub-system in the sense of Lyapunov subject to a common Lyapunov function for all rules. Analytical proof of the result is given and its application on designing a heuristic of FLC is illustrated through an example.

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M3 - Conference article published in proceeding or book

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Y2 - 1 July 1997 through 5 July 1997

ER -

Lyapunov function based design of heuristic fuzzy logic controllers

Abstract

Conference

ASJC Scopus subject areas

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