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

Denis Arzelier; Dimitri Peaucelle; Christophe Farges

doi:10.1109/CDC.2005.1583077

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

Document type :

Conference papers

Domain :

Computer Science [cs] / Automatic Control Engineering

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00324074
Contributor : Christophe Farges <>
Submitted on : Tuesday, September 23, 2008 - 7:45:29 PM
Last modification on : Friday, April 12, 2019 - 4:22:17 PM

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

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

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