| Issue |
ESAIM: ProcS
Volume 57, 2017
ETAMM 2016 - Emerging Trends in Applied Mathematics and Mechanics
|
|
|---|---|---|
| Page(s) | 70 - 85 | |
| DOI | https://doi.org/10.1051/proc/201657070 | |
| Published online | 26 October 2017 | |
Modeling and control of in-situ decontamination of large water resources
1 Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaíso, Chile ; pedro.gajardo@usm.cl
2 LBE, INRA, 11100, Narbonne, France ; jerome.harmand@inra.fr
3 Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807, CNRS), Universidad de Chile. Casilla 170-3 Santiago 3, Chile ; hramirez@dim.uchile.cl
4 UMR INRA/SupAgro 729 ’MISTEA’, Montpellier, France ; alain.rapaport@inra.fr
5 Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807, CNRS), Universidad de Chile. Casilla 170-3 Santiago 3, Chile ; vriquelme@dim.uchile.cl
6 Inria team LEMON, Inria Chile and UMR 5149 France ; antoine.rousseau@inria.fr
We address the problem of the optimal control of in situ decontamination of water resources. We review several modeling, simulation and optimization techniques for this problem and their results. We show the benefit of combining tools from finite dimensional optimal control theory and numerical simulations of hydrodynamics equations, for providing simple and efficient feedback strategies.
Résumé
Nous considérons le problème de commande optimale d’une décontamination in situ de ressources hydriques. Nous passons en revue différentes techniques de modélisation, simulation et optimisation pour ce problème, ainsi que leurs résultats. Nous montrons le bénéfice à combiner les outils de la théorie de la commande optimale en dimension finie avec la simulation numérique des équations de l’hydrodynamique, afin de fournir des stratégies par retour d’état à la fois simples et efficaces.
© EDP Sciences, SMAI 2017
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