Allowable delay sets for the stability analysis of linear time-varying delay systems using a delay-dependent reciprocally convex lemma

Alexandre Seuret 1 Frédéric Gouaisbaut 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
Abstract : This paper addresses the stability analysis of linear systems subject to a time-varying delay. The contribution of this paper is twofolds. First, we aim at presenting a new matrix inequality, which can be seen as an improved version of the reciprocally convex combination, which provides a more accurate delay-dependent lower bound. When gathering this new inequality with the Wirtinger-based integral inequality, efficient stability conditions expressed in terms of LMI are designed and show a clear reduction of the conservatism with a reasonable associated computational cost. The second original contribution of this paper consists in noting that stability conditions issued from the Wirtinger-based integral inequality depends in an affine manner on the bounds of the delay function and also on its derivative. This allows to refine the definition of allowable delay set and to relax usual convex on the delay function. As a result of this new characterization, the LMI conditions allows obtaining stability regions for slow time-varying delay systems which are very closed to the constant delay case.
Type de document :
Communication dans un congrès
IFAC World Congress, Jul 2017, Toulouse, France. Proceedings of the 20th IFAC World Congress, pp.1297-1302, 2017
Liste complète des métadonnées

Littérature citée [15 références]  Voir  Masquer  Télécharger

https://hal.laas.fr/hal-01496294
Contributeur : Alexandre Seuret <>
Soumis le : lundi 27 mars 2017 - 13:39:25
Dernière modification le : lundi 16 avril 2018 - 09:04:01
Document(s) archivé(s) le : mercredi 28 juin 2017 - 14:15:40

Fichier

IFACWC_Refined_RCCL_V3.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01496294, version 1

Citation

Alexandre Seuret, Frédéric Gouaisbaut. Allowable delay sets for the stability analysis of linear time-varying delay systems using a delay-dependent reciprocally convex lemma. IFAC World Congress, Jul 2017, Toulouse, France. Proceedings of the 20th IFAC World Congress, pp.1297-1302, 2017. 〈hal-01496294〉

Partager

Métriques

Consultations de la notice

250

Téléchargements de fichiers

252