Robust analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs

Abstract : A particular class of uncertain linear discrete-time periodic systems is considered. The problem of robust stabilization of real polytopic linear discrete-time periodic systems via a periodic state-feedback law is tackled here. Using additional slack variables and the periodic Lyapunov lemma, an extended sufficient condition of robust stabilization is proposed. Based on periodic parameter-dependent Lyapunov functions, this last condition is shown to be always less conservative than the more classic one based on the quadratic stability framework. This is illustrated on numerical examples from the literature.
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Communication dans un congrès
44th IEEE Conference on Decision and Control, 2005. CDC., Dec 2005, Seville, Spain. pp.5734-5739, 2005, 〈10.1109/CDC.2005.1583077〉
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https://hal.archives-ouvertes.fr/hal-00324074
Contributeur : Christophe Farges <>
Soumis le : mardi 23 septembre 2008 - 19:45:29
Dernière modification le : mercredi 28 février 2018 - 10:22:50

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Denis Arzelier, Dimitri Peaucelle, Christophe Farges. Robust analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs. 44th IEEE Conference on Decision and Control, 2005. CDC., Dec 2005, Seville, Spain. pp.5734-5739, 2005, 〈10.1109/CDC.2005.1583077〉. 〈hal-00324074〉

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