Ellipsoidal invariant sets for saturated hybrid 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 paper addresses the problem of characterizing and computing an estimation of the basin of attraction for saturated hybrid systems. Hybrid systems presenting saturation on signals involved in both the continuous-time and the discrete-time dynamics are considered. A geometrical characterization of local convergence is provided and employed to extend results proper of continuous-time and discrete-time saturated systems to the hybrid ones. A computation oriented condition of local convergence is given in form of convex constraints.

Domaines: Automatique / Robotique

Mirko Fiacchini, Sophie Tarbouriech, Christophe Prieur. Ellipsoidal invariant sets for saturated hybrid systems. ACC 2011 - American Control Conference, Jun 2011, San Francisco, Californie, United States. 7p. ⟨hal-00560880⟩