L2-stabilization design for fuzzy control systems

Hwan Rong Lin; Wen June Wang

doi:10.1016/s0165-0114(97)00131-0

L₂-stabilization design for fuzzy control systems

Hwan Rong Lin, Wen June Wang

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

System's stability is the most important requirement in control system designs. Fuzzy control system (FCS) should satisfy this requirement also. This paper shows that a linear plant with the formulated Fuzzy Logic Controller (FLC) is a nonlinear system and its stability can be analyzed by applying the Small Gain Theorem or the Circle Criterion. By these two criteria, three FLC design procedures are introduced to guarantee the stabilization of the FCS. Finally, two examples are given to confirm the availability of the proposed design approaches.

Original language	English
Pages (from-to)	159-172
Number of pages	14
Journal	Fuzzy Sets and Systems
Volume	100
Issue number	1-3
DOIs	https://doi.org/10.1016/s0165-0114(97)00131-0
State	Published - 1998

Keywords

Control theory
Controller design
Fuzzy set

Access to Document

10.1016/s0165-0114(97)00131-0

Cite this

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AB - System's stability is the most important requirement in control system designs. Fuzzy control system (FCS) should satisfy this requirement also. This paper shows that a linear plant with the formulated Fuzzy Logic Controller (FLC) is a nonlinear system and its stability can be analyzed by applying the Small Gain Theorem or the Circle Criterion. By these two criteria, three FLC design procedures are introduced to guarantee the stabilization of the FCS. Finally, two examples are given to confirm the availability of the proposed design approaches.

KW - Control theory

KW - Controller design

KW - Fuzzy set

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M3 - 期刊論文

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JO - Fuzzy Sets and Systems

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