Output Feedback Control of a cascade system of linear Korteweg-de Vries equations - Université Grenoble Alpes Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2021

Output Feedback Control of a cascade system of linear Korteweg-de Vries equations

Résumé

This paper is about the stabilization of a cascade system of n linear Korteweg-de Vries equations in a bounded interval. It considers an output feedback control placed at the left endpoint of the last equation, while the output involves only the solution to the first equation. The boundary control problems investigated include two cases: a classical control on the Dirichlet boundary condition and a less standard one on its second-order derivative. The feedback control law utilizes the estimated solutions of a high-gain observer system and the output feedback control leads to stabilization for any n for the first boundary conditions case and for n = 2 for the second one.
Fichier principal
Vignette du fichier
Output feedback control for a cascade system of Korteweg-de Vries equations.pdf (377.48 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03189155 , version 1 (02-04-2021)
hal-03189155 , version 2 (25-07-2021)

Identifiants

Citer

Constantinos Kitsos, Eduardo Cerpa, Gildas Besancon, Christophe Prieur. Output Feedback Control of a cascade system of linear Korteweg-de Vries equations. SIAM Journal on Control and Optimization, 2021, 59 (4), pp.2955-2976. ⟨10.1137/20M1350066⟩. ⟨hal-03189155v2⟩
161 Consultations
246 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More