Open AccessModel reduction design for continuous systems with finite frequency specifications
Author(s) -
Miloud Koumir,
Abderrahim El-Amrani,
Ismail Boumhidi
Publication year - 2021
Publication title -
international journal of power electronics and drive systems/international journal of electrical and computer engineering
Language(s) - English
Resource type - Journals
eISSN - 2722-2578
pISSN - 2722-256X
DOI - 10.11591/ijece.v11i5.pp3956-3963
Subject(s) - reduction (mathematics) , fuzzy logic , mathematics , control theory (sociology) , matrix (chemical analysis) , mathematical optimization , fuzzy control system , computer science , control (management) , artificial intelligence , materials science , geometry , composite material
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.