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Output feedback control for T-S discrete-time nonlinear descriptor models

Abstract : This paper presents a static output feedback controller design for discrete-time nonlinear descriptor models. The conditions are given in terms of linear matrix inequalities (LMIs). The approach is based on the Takagi-Sugeno (T-S) representation of the nonlinear system and Finsler's Lemma. The proposed method exploits the discrete-time nature of the T-S model by the use of delayed Lyapunov functions, which provide more degrees of freedom without increasing the number of LMIs. It is also extended for robust control. The benefits of the proposed approaches are illustrated via numerical examples.
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https://hal-uphf.archives-ouvertes.fr/hal-03418630
Contributor : Mylène Delrue Connect in order to contact the contributor
Submitted on : Monday, November 8, 2021 - 8:09:35 AM
Last modification on : Tuesday, November 9, 2021 - 4:05:11 AM

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Víctor Estrada Manzo, Zsofia Lendek, Thierry-Marie Guerra. Output feedback control for T-S discrete-time nonlinear descriptor models. 2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Dec 2014, Los Angeles, United States. pp.860-865, ⟨10.1109/CDC.2014.7039489⟩. ⟨hal-03418630⟩

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