LMI approach for robust stabilization of Takagi–Sugeno descriptor systems with input saturation

The aim of this article is to present a systematic framework for the design of a robust controller for uncertain nonlinear systems represented in the Takagi–Sugeno descriptor form. The design takes explicitly into account state constraints and also the saturation of the control input. Based on Lyapu...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2018-12, Vol.35 (4), p.1103-1114
Main Authors: Dang, Quoc Viet, Vermeiren, Laurent, Dequidt, Antoine, Dambrine, Michel
Format: Article
Language:English
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Engineering Sciences
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Summary:The aim of this article is to present a systematic framework for the design of a robust controller for uncertain nonlinear systems represented in the Takagi–Sugeno descriptor form. The design takes explicitly into account state constraints and also the saturation of the control input. Based on Lyapunov theory, the tuning of the control parameters can be done by solving an optimization problem with linear matrix inequality constraints. Two numerical examples are included to illustrate the effectiveness of the proposed method.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnx019