Abstract
In this paper, a theoretical analysis of the problem of water reservoir control during flood is presented. The control goal considered is the reduction of the damages caused by high level of water in a flood plain below the reservoir. It is assumed that these damages depend on the culminant release from the reservoir. The paper contains the derivation of the necessary conditions of optimality (in the form of a maximum principle) as well as the analysis of solutions for various (general) deterministic inflow scenarios, while taking into account the complete description of the reservoir constraints.
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Communicated by C. T. Leondes
The research reported here has been supported by the Central Basic Research Program CPBP-03.09 “Metody Analizy i Użytkowania Zasobów Wodnych,” Polish Academy of Sciences, Warsaw, Poland. This support is kindly acknowledged.
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Karbowski, A. Optimal control of single retention reservoir during flood: Solution of deterministic, continuous-time problems. J Optim Theory Appl 69, 55–81 (1991). https://doi.org/10.1007/BF00940461
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DOI: https://doi.org/10.1007/BF00940461