Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives

Abstract : In this paper, we address the global stabilization of chains of integrators by means of a bounded static feedback law whose p first time derivatives are bounded. Our construction is based on the technique of nested saturations introduced by Teel. We show that the control amplitude and the maximum value of its p first derivatives can be imposed below any prescribed values. Our results are illustrated by the stabilization of the third order integrator on the feedback and its first two derivatives.
Type de document :
Pré-publication, Document de travail
2015
Liste complète des métadonnées

Littérature citée [13 références]  Voir  Masquer  Télécharger

https://hal-supelec.archives-ouvertes.fr/hal-01133844
Contributeur : Antoine Chaillet <>
Soumis le : vendredi 20 mars 2015 - 14:55:49
Dernière modification le : jeudi 5 avril 2018 - 12:30:05
Document(s) archivé(s) le : lundi 17 avril 2017 - 20:05:23

Fichier

150320 - Saturated control of ...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01133844, version 1

Citation

Jonathan Laporte, Antoine Chaillet, Yacine Chitour. Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives. 2015. 〈hal-01133844〉

Partager

Métriques

Consultations de la notice

380

Téléchargements de fichiers

110