Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs

Abstract : We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to the classical trade-off between convergence rate and delay-robustness. More precisely, we prove that, for systems with strong reflections, canceling the reflection at the actuated boundary will yield zero delay-robustness. Indeed, for such systems, using a backstepping-controller, the corresponding target system should preserve a small amount of this reflection to ensure robustness to a small delay in the loop. This implies, in some cases, giving up finite time convergence.
Type de document :
Pré-publication, Document de travail
2017
Liste complète des métadonnées

https://hal-mines-paristech.archives-ouvertes.fr/hal-01585911
Contributeur : Jean Auriol <>
Soumis le : mardi 12 septembre 2017 - 10:48:25
Dernière modification le : vendredi 27 octobre 2017 - 17:28:02

Fichiers

Some results about delay margi...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01585911, version 1
  • ARXIV : 1709.04274

Collections

Citation

Jean Auriol, Ulf Aarsnes, Philippe Martin, Florent Meglio. Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs. 2017. 〈hal-01585911〉

Partager

Métriques

Consultations de
la notice

52

Téléchargements du document

13