Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs
Résumé
We solve the problem of stabilizing a general class
of linear first-order hyperbolic systems using actuation at both
boundary of the spatial domain. We design a novel Fredholm
transformation similarly to backstepping approaches to derive
a full-state feedback law and a boundary observer enabling
stabilization by output feedback. This yields an explicit fullstate
feedback law that achieves the theoretical lower bound
for convergence to zero
Origine | Fichiers produits par l'(les) auteur(s) |
---|