Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay

Résumé

This paper studies the boundary output feedback stabilization of reaction-diffusion PDEs in the presence of an arbitrarily long distributed input delay. The boundary control applies at the right boundary through a Robin boundary condition while the system output is selected as the left boundary Dirichlet trace. The actual control input applies to the boundary via a distributed delay spanning over a finite time interval. The proposed control strategy leverages a predictor feedback relying on Artstein's reduction method and is coupled with a finite-dimensional observer. Provided a structural controllability assumption, sufficient stability condition are derived and are shown to be always feasible provided the order of the observer is selected to be large enough.
Fichier principal
Vignette du fichier
Paper_ECC.pdf (279.34 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03665175 , version 1 (11-05-2022)

Identifiants

Citer

Hugo Lhachemi, Christophe Prieur. Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay. ECC 2022 - 20th European Control Conference, Jul 2022, Londres, United Kingdom. ⟨10.23919/ECC55457.2022.9837995⟩. ⟨hal-03665175⟩
57 Consultations
73 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More