Analysis and design of fuzzy control systems using dynamic fuzzy-state space models

A discrete-time fuzzy control system which is composed of a dynamic fuzzy model and a fuzzy-state feedback controller is proposed. Stability of the fuzzy control system is discussed and two sufficient conditions to guarantee the stability of the system are given in terms of uncertain linear system t...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 7; no. 2; pp. 192 - 200
Main Authors Shu-Guang Cao, Rees, N.W., Feng, Gang
Format Journal Article
LanguageEnglish
Published IEEE 01.04.1999
Subjects
Adaptive control
Control systems
Design engineering
Design methodology
Dynamical systems
Dynamics
Fuzzy control
Fuzzy systems
Linear feedback control systems
Linear systems
Mathematical models
Nonlinear control systems
Stability
Sufficient conditions
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Summary:A discrete-time fuzzy control system which is composed of a dynamic fuzzy model and a fuzzy-state feedback controller is proposed. Stability of the fuzzy control system is discussed and two sufficient conditions to guarantee the stability of the system are given in terms of uncertain linear system theory. An algorithm is developed to check the stability condition. The controller design method is divided into two procedures, one is to get the state feedback matrix by linear system theory in every local rule map; the other is to determine conditions of global stability by using a nonlinear analysis method. Two examples are used to show the design method.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1063-6706
1941-0034
DOI:10.1109/91.755400