Robust state-feedback stabilization of an underactuated network of interconnected n + m hyperbolic PDE systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2021

Robust state-feedback stabilization of an underactuated network of interconnected n + m hyperbolic PDE systems

Jean Auriol
Delphine Bresch Pietri
  • Fonction : Auteur
  • PersonId : 18535
  • IdHAL : dbp

Résumé

We detail in this article the development of a delay-robust stabilizing state feedback control law for an underactuated network of two subsystems of heterodirectional linear first-order hyperbolic Partial Differential Equations interconnected through their boundaries. Only one of the two subsystems is actuated. The proposed approach is based on the backstepping methodology. A backstepping transform allows us to construct a first feedback to tackle in-domain couplings present in the actuated PDE subsystem. Then, we introduce a predictive tracking controller to stabilize the second PDE subsystem. The stabilization of this subsystem implies the stabilization of the whole network. Finally, the proposed control law is combined with a low-pass filter to become robust with respect to small delays in the control signal and uncertainties on the system parameters.
Fichier principal
Vignette du fichier
Robust stabilization PDE-PDE (n+m).pdf (726.19 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03368966 , version 1 (07-10-2021)

Identifiants

Citer

Jean Auriol, Delphine Bresch Pietri. Robust state-feedback stabilization of an underactuated network of interconnected n + m hyperbolic PDE systems. Automatica, 2021, ⟨10.1016/j.automatica.2021.110040⟩. ⟨hal-03368966⟩
64 Consultations
17 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More