Boundary Control of a Wave Equation With an Anti-Damped Boundary Dynamics in Presence of an In-Domain Velocity Source Term

Christophe Roman (1, 2) , Delphine Bresch-Pietri (3) , Christophe Prieur (1) , Olivier Sename (2)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse
3 CAS - Centre Automatique et Systèmes

This extended abstract presents some backstepping control designs for a one-dimensional wave equation with an anti-damped boundary dynamics in presence of in-domain velocity source term. It discusses the merits and limitations of already carried out solutions and sketches directions of ongoing works. This paper is with the open invited track for the GdR MACS Young PhD researchers.

Mots clés: Observer; In-domain parameter; Partial differential equation (PDE); Boundary control; Wave equation; Exponential stabilization

Domaines: Automatique / Robotique

Christophe Roman, Delphine Bresch-Pietri, Christophe Prieur, Olivier Sename. Boundary Control of a Wave Equation With an Anti-Damped Boundary Dynamics in Presence of an In-Domain Velocity Source Term. IFAC WC 2017 - 20th IFAC World Congress, IFAC, Jul 2017, Toulouse, France. pp.4870-4873. ⟨hal-01637661⟩