Model reduction design for continuous systems with finite frequency specifications

This paper is concerned with the problem of model reduction design for continuous systems in Takagi-Sugeno fuzzy model. Through the defined FF H∞ gain performance, sufficient conditions are derived to design model reduction and to assure the fuzzy error system to be asymptotically stable with a FF H...

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Published inInternational journal of electrical and computer engineering (Malacca, Malacca) Vol. 11; no. 5; p. 3956
Main Authors Koumir, Miloud, El-Amrani, Abderrahim, Boumhidi, Ismail
Format Journal Article
LanguageEnglish
Published Yogyakarta IAES Institute of Advanced Engineering and Science 01.10.2021
Subjects
Fuzzy systems
H infinity
Laboratories
Linear matrix inequalities
Mathematical analysis
Model reduction
Performance indices
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Summary:This paper is concerned with the problem of model reduction design for continuous systems in Takagi-Sugeno fuzzy model. Through the defined FF H∞ gain performance, sufficient conditions are derived to design model reduction and to assure the fuzzy error system to be asymptotically stable with a FF H∞ gain performance index. The explicit conditions of fuzzy model reduction are developed by solving linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
ISSN:2088-8708
2722-2578
2088-8708
DOI:10.11591/ijece.v11i5.pp3956-3963