A convex hybrid H_infty synthesis with guaranteed convergence rate

Francesco Fichera (1) , Christophe Prieur (2) , Sophie Tarbouriech (1) , Luca Zaccarian (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
2 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

In this paper, a hybrid controller design for a continuous-time linear time-invariant (LTI) plant is presented. The idea is to simultaneously design the flow and jump maps with the respective sets of the controller, guaranteeing H∞ specifications and decay rate of the plant state of the hybrid closed-loop system. A convex LMI-based design procedure is proposed, generalizing the results in [22].

Domaines: Automatique / Robotique

Francesco Fichera, Christophe Prieur, Sophie Tarbouriech, Luca Zaccarian. A convex hybrid H_infty synthesis with guaranteed convergence rate. CDC 2012 - 51st IEEE Conference on Decision and Control, Dec 2012, Maui, Hawaï, United States. 6p. ⟨hal-00734470⟩