Fuzzy Lyapunov-based approach to the design of fuzzy controllers

Michael Margaliot; Gideon Langholz

doi:10.1016/S0165-0114(98)00356-X

Fuzzy Lyapunov-based approach to the design of fuzzy controllers

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Abstract

In this paper we extend the classical Lyapunov synthesis method to the domain of computing with words. This new approach is used to design fuzzy controllers. Assuming minimal knowledge about the plant to be controlled, the proposed method enables us to systematically derive the fuzzy rules that constitute the rule base of the controller. We demonstrate the approach by designing Mamdani-type and Takagi-Sugeno-Kang-type fuzzy controllers for two well-known plants.

Original language	English
Pages (from-to)	49-59
Number of pages	11
Journal	Fuzzy Sets and Systems
Volume	106
Issue number	1
DOIs	https://doi.org/10.1016/S0165-0114(98)00356-X
State	Published - 16 Aug 1999

Keywords

Computing with words
Fuzzy control
Lyapunov functions

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10.1016/S0165-0114(98)00356-X

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abstract = "In this paper we extend the classical Lyapunov synthesis method to the domain of computing with words. This new approach is used to design fuzzy controllers. Assuming minimal knowledge about the plant to be controlled, the proposed method enables us to systematically derive the fuzzy rules that constitute the rule base of the controller. We demonstrate the approach by designing Mamdani-type and Takagi-Sugeno-Kang-type fuzzy controllers for two well-known plants.",

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AB - In this paper we extend the classical Lyapunov synthesis method to the domain of computing with words. This new approach is used to design fuzzy controllers. Assuming minimal knowledge about the plant to be controlled, the proposed method enables us to systematically derive the fuzzy rules that constitute the rule base of the controller. We demonstrate the approach by designing Mamdani-type and Takagi-Sugeno-Kang-type fuzzy controllers for two well-known plants.

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Fuzzy Lyapunov-based approach to the design of fuzzy controllers

Abstract

Keywords

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