Invariance of symmetric convex sets for discrete-time saturated systems

Mirko Fiacchini (1) , Sophie Tarbouriech (2) , Christophe Prieur (3)

1 LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
3 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

The characterization of invariance and contractiveness for discrete-time saturated linear systems is considered. The geometrical approach used to analyze the problem leads to conditions valid for generic symmetric convex sets. The application of the results to the ellipsoidal case generalizes known results and leads to computational improvements.

Domaines: Automatique / Robotique

Mirko Fiacchini, Sophie Tarbouriech, Christophe Prieur. Invariance of symmetric convex sets for discrete-time saturated systems. CDC 2011 - ECC 2011 - 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando, Floride, United States. pp.n.c. ⟨hal-00637455⟩