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

Denis Arzelier 1 Dimitri Peaucelle 1 Christophe Farges 1, 2
1 LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
2 IMS - Laboratoire de l'intégration, du matériau au système
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.
Keywords : Robust control periodic systems state feedback Lyapunov theory polytopic uncertainty parameter-dependent Lyapunov functions
Type de document :
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 : mardi 11 septembre 2018 - 15:18:15

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UNIV-TLSE3 | IMS-BORDEAUX | IMS-BORDEAUX-FUSION | INSA-TOULOUSE | LAAS

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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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