Abstract This paper presents a numerical algorithm for computing the optimal design variables in the management of a bioreactor for
the treatment of eutrophicated water: initial and distributed quantities of phytoplankton added along the process, and total
duration of the process. This real-world problem is formulated as a state-control constrained optimal control problem, whose
numerical resolution is the main aim of this study. After discretizing the control problem, we present a structured algorithm
for solving the discrete state systems, computing the corresponding derivatives, and minimizing the objective function. Finally,
the good performance of the algorithm is shown by applying it to a realistic example with two pre-reservoirs.
the treatment of eutrophicated water: initial and distributed quantities of phytoplankton added along the process, and total
duration of the process. This real-world problem is formulated as a state-control constrained optimal control problem, whose
numerical resolution is the main aim of this study. After discretizing the control problem, we present a structured algorithm
for solving the discrete state systems, computing the corresponding derivatives, and minimizing the objective function. Finally,
the good performance of the algorithm is shown by applying it to a realistic example with two pre-reservoirs.
- Content Type Journal Article
- DOI 10.1007/s10915-009-9344-7
- Authors
- Lino J. Alvarez-Vázquez, Universidad de Vigo Departamento Matemática Aplicada II, ETSI Telecomunicación 36310 Vigo Spain
- Francisco J. Fernández, Universidad de Santiago de Compostela Departamento Matemática Aplicada, Facultad de Matemáticas 15782 Santiago Spain
- Aurea Martínez, Universidad de Vigo Departamento Matemática Aplicada II, ETSI Telecomunicación 36310 Vigo Spain
- Journal Journal of Scientific Computing
- Online ISSN 1573-7691
- Print ISSN 0885-7474
