Analysis of optimal control problems for the process of wastewater biological treatment
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| Autori: | , , , |
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| Natura: | artículo original |
| Status: | Versión publicada |
| Data di pubblicazione: | 2013 |
| Descrizione: | We consider a three-dimensional deterministic control model of the process of aerobic wastewater biotreatment. For this model, we formulate and solve two optimal control problems, each of which has a corresponding minimizing functional. For the first problem, the functional is a weighted sum of the pollutant concentration at the end of a fixed time interval and the cumulative biomass con- centration over the interval. For the second problem, the functional is a weighted sum of the pollutant concentration at the end of the time interval and the cumulative oxygen and biomass concentra- tions over the interval. In order to solve these problems, we apply the Pontryagin Maximum Principle. The switching functions are analytically investigated and uniquely determine the type of the op- timal controls for the considered problems. Their properties allow the simplification of the optimal control problems to that of finite- dimensional constrained minimization. Numerical solutions of the optimal control problems are also provided. |
| Stato: | Portal de Revistas UCR |
| Istituzione: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lingua: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/11430 |
| Accesso online: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/11430 |
| Access Level: | acceso abierto |
| Keyword: | wastewater treatment nonlinear model optimal control tratamiento de aguas residuales modelo no lineal control óptimo |