Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs - Mines Paris Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2018

Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs

Jean Auriol
Florent Di Meglio

Résumé

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems using actuation at both boundaries of the spatial domain. We design a novel Fredholm transformation similarly to backstepping approaches to derive a boundary controller and a boundary observer enabling stabilization by output feedback. This yields an explicit full-state feedback law that achieves the theoretical lower bound for convergence to zero.
Fichier principal
Vignette du fichier
Two sided boundary stabilization.pdf (1.16 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01318708 , version 1 (19-05-2016)
hal-01318708 , version 2 (04-08-2016)
hal-01318708 , version 3 (28-11-2016)

Identifiants

Citer

Jean Auriol, Florent Di Meglio. Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/TAC.2017.2763320⟩. ⟨hal-01318708v3⟩
250 Consultations
336 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More