Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE - Université Claude Bernard Lyon 1 Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE

Résumé

This paper deals with the stabilization of a coupled system composed by an infinite-dimensional system and an ODE. Moreover, the control, which appears in the dynamics of the ODE, is subject to a general class of nonlinearities. Such a situation may arise, for instance, when the actuator admits a dynamics. The open-loop ODE is exponentially stable and the open-loop infinite-dimensional system is dissipative, i.e., the energy is nonincreasing, but its equilibrium point is not necessarily attractive. The feedback design is based on an extension of a finite-dimensional method, namely the forwarding method. We propose some sufficient conditions that imply the well-posedness and the global asymptotic stability of the closed-loop system. As illustration, we apply these results to a transport equation coupled with an ODE.
Fichier principal
Vignette du fichier
MCSS-ForwardingPDE-ODE.pdf (174.72 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02944073 , version 1 (21-09-2020)
hal-02944073 , version 2 (07-04-2021)

Identifiants

Citer

Swann Marx, Lucas Brivadis, Daniele Astolfi. Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE. 2020. ⟨hal-02944073v1⟩
377 Consultations
305 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More