Flow regulation for water quality restoration in a river section: Modeling and control

Authors:
L. J. Alvarez-Vázquez;A. Martínez;M. E. Vázquez-Méndez;M. A. Vilar
Affiliations:
Departamento de Matemática Aplicada II, ETSI Telecomunicación, Universidad de Vigo, 36310 Vigo, Spain;Departamento de Matemática Aplicada II, ETSI Telecomunicación, Universidad de Vigo, 36310 Vigo, Spain;Departamento de Matemática Aplicada, Escola Politécnica Superior, Universidad de Santiago de Compostela, 27002 Lugo, Spain;Departamento de Matemática Aplicada, Escola Politécnica Superior, Universidad de Santiago de Compostela, 27002 Lugo, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

This work is devoted to the numerical resolution of an optimal control problem that arises in the management of a reservoir for the remediation of a polluted river section. By using mathematical modeling and optimal control techniques we set the mathematical formulation of the problem (as a hyperbolic optimal control problem with control constraints), and obtain a fully discretized problem. Finally, we propose a gradient-free method to solve it, and present realistic numerical results.