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 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.
Origine | Fichiers produits par l'(les) auteur(s) |
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