Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

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.
Liste complète des métadonnées
Contributeur : Jean Auriol <>
Soumis le : mardi 12 septembre 2017 - 10:48:25
Dernière modification le : jeudi 24 septembre 2020 - 17:04:18
Archivage à long terme le : : mercredi 13 décembre 2017 - 17:16:54


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


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


Jean Auriol, Ulf Aarsnes, Philippe Martin, Florent Meglio. Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2018. ⟨hal-01585911⟩



Consultations de la notice


Téléchargements de fichiers