Backstepping Observer Based-Control for an Anti-Damped Boundary Wave PDE in Presence of In-Domain Viscous Damping

Abstract : This paper presents a backstepping control design for a one-dimensional wave PDE with in-domain viscous damping , subject to a dynamical anti-damped boundary condition. Its main contribution is the design of an observer-based control law which stabilizes the wave PDE velocity, using only boundary mesurements. Numerical simulations on an oil-inspired example show the relevance of our result and illustrate the merits of this control design.
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Christophe Roman, Delphine Bresch-Pietri, Eduardo Cerpa, Christophe Prieur, Olivier Sename. Backstepping Observer Based-Control for an Anti-Damped Boundary Wave PDE in Presence of In-Domain Viscous Damping. 55th IEEE Conference on Decision and Control (CDC 2016), ieee, Dec 2016, Las Vegas, NV, United States. ⟨hal-01413025v2⟩

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