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Controller Design for Discrete-Time Descriptor Models: A Systematic LMI Approach

Abstract : This paper provides a systematic way to generalize the controller design for discrete-time nonlinear descriptor models. The controller synthesis is done using a Takagi-Sugeno representation of the descriptor models and linear matrix inequalities. We propose approaches to exploit the discrete-time nature of the problem by using delayed Lyapunov functions, which allow delayed controller gains. In addition, the well-known Finsler's Lemma is used to avoid the explicit substitution of the closed-loop dynamics. Examples are provided to show the effectiveness of the proposed results.
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https://hal-uphf.archives-ouvertes.fr/hal-03428906
Contributor : Mylène Delrue Connect in order to contact the contributor
Submitted on : Monday, November 15, 2021 - 1:12:52 PM
Last modification on : Tuesday, November 16, 2021 - 3:56:50 AM

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Víctor Estrada Manzo, Zsofia Lendek, Thierry-Marie Guerra, Philippe Pudlo. Controller Design for Discrete-Time Descriptor Models: A Systematic LMI Approach. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2015, 23 (5), pp.1608-1621. ⟨10.1109/TFUZZ.2014.2371029⟩. ⟨hal-03428906⟩

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