State feedback controller design via Takagi-Sugeno fuzzy model: a linear matrix inequalities approach

Authors:
Farid Khaber;Abdelaziz Hamzaoui;Khaled Zehar
Affiliations:
QUERE Laboratory, Automatic Department, Setif University, Setif, Algeria;QUERE Laboratory, Automatic Department, Setif University, Setif, Algeria;QUERE Laboratory, Automatic Department, Setif University, Setif, Algeria
Venue:
ICAI'05/MCBC'05/AMTA'05/MCBE'05 Proceedings of the 6th WSEAS international conference on Automation & information, and 6th WSEAS international conference on mathematics and computers in biology and chemistry, and 6th WSEAS international conference on acoustics and music: theory and applications, and 6th WSEAS international conference on Mathematics and computers in business and economics
Year:
2005

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Abstract

In this paper, we introduce a robust state feedback controller design using Linear Matrix Inequalities (LMIs) and guaranteed cost approach for Takagi-Sugeno fuzzy systems. The purpose on this work is to establish a systematic method to design controllers for a class of uncertain linear and non linear systems. Our approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno fuzzy models to approximate nonlinear systems. We use a robust control methodology to design controllers. This method not only guarantees stability, but also minimizes an upper bound on a linear quadratic performance measure. A simulation example is presented to show the effectiveness of this method.