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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Communication dans un congrès
55th IEEE Conference on Decision and Control (CDC 2016), Dec 2016, Las vegas, United States. 2016, <http://cdc2016.ieeecss.org>
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Contributeur : Patricia Reynier <>
Soumis le : vendredi 24 mars 2017 - 08:54:12
Dernière modification le : mercredi 24 mai 2017 - 16:00:56

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Distributed under a Creative Commons Paternité - Pas de modifications 4.0 International License

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  • HAL Id : hal-01413025, version 2

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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), Dec 2016, Las vegas, United States. 2016, <http://cdc2016.ieeecss.org>. <hal-01413025v2>

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