A nonsmooth hybrid invariance principle applied to robust event-triggered design

Abstract : We first propose a nonsmooth hybrid invariance principle with relaxed conditions stemming from the fact that flowing solutions evolve only in the tangent cone, and complete jumping solutions cannot jump ouside the jump and flow sets. We then show an application consisting in the design of event-triggered rules to stabilize a class of uncertain linear control systems. The event-triggering rule depends only on local information, that is it uses only the output signals available to the controller. The approach proposed combines a hybrid framework to describe the closed-loop system with looped functionals based techniques. The proposed design conditions are formulated in terms of linear matrix inequalities (LMIs) ensuring global robust asymptotic stability of the closed-loop system. A tunable parameter is also available to guarantee an adjustable dwell-time property of the solutions. The effectiveness of the approach is evaluated through an example borrowed from the literature.
Type de document :
Pré-publication, Document de travail
Rapport LAAS n° 17179. 2017
Liste complète des métadonnées

Littérature citée [26 références]  Voir  Masquer  Télécharger

Contributeur : Alexandre Seuret <>
Soumis le : mardi 23 mai 2017 - 09:14:26
Dernière modification le : mardi 11 septembre 2018 - 15:19:06
Document(s) archivé(s) le : vendredi 25 août 2017 - 00:25:45


Fichiers produits par l'(les) auteur(s)


  • HAL Id : hal-01526331, version 1


Alexandre Seuret, Christophe Prieur, Sophie Tarbouriech, A Teel, Luca Zaccarian. A nonsmooth hybrid invariance principle applied to robust event-triggered design. Rapport LAAS n° 17179. 2017. 〈hal-01526331〉



Consultations de la notice


Téléchargements de fichiers