Model reduction design for continuous systems with finite frequency specifications

Miloud Koumir, Abderrahim EL-Amrani, Ismail Boumhidi


This paper is concerned with the problem of model reduction design for continuous systems in Takagi-Sugeno fuzzy model. Through the defined FF H1 gain performance, sufficient conditions are derived to design model reduction and to assure the fuzzy error system to be asymptotically stable with a FF H1 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.


continuous systems; finite frequency; model reduction design; takagi-sugeno fuzzy scheme;


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International Journal of Electrical and Computer Engineering (IJECE)
p-ISSN 2088-8708, e-ISSN 2722-2578