Affine Versus Multi-Affine Models for S-Variable LMI Conditions

Dimitri Peaucelle 1 Yoshio Ebihara 2
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : This short paper aims at discussing and comparing LMI results built using the S-variable approach starting from equivalent yet different representations of uncertain systems. Using the fact that S-variable results are well suited to handle descriptor systems and that descriptor system modeling is very versatile, we compare results in terms of the impact of modeling on the computational burden and on conservatism. Multi-affine representations allow reduced numerical burden while affine representations lead to less conservative results. Numerical examples show that conservatism reduction is not systematic, but is in some cases quite significant without major increase of the numerical burden.
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Dimitri Peaucelle, Yoshio Ebihara. Affine Versus Multi-Affine Models for S-Variable LMI Conditions. 9th IFAC Symposium on Robust Control Design (ROCOND 2018), Sep 2018, Florianopolis, Brazil. 8p. ⟨hal-01713146v2⟩

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