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Irrigation planning: An optimal control approach

Sofia Lopes 1 Fernando Fontes 2 Rui Pereira 3 A.-M. Gonçalves Gaspar Machado 3
1 DMA - Departamento de Matemática e Aplicações
2 Universidade do Porto
3 DMA - Departamento de Matemática e Aplicaçoes
Abstract : We aim to plan the water usage in the irrigation of a given farmland keeping, at same time, the field cultivation in a good state of preservation. This problem is modeled and tackled as an optimal control problem: minimize the water flow (control) so that the extent water amount in the soil (trajectory) fulfills the cultivation water requirements. To estimate rainfall, we consider two models: one based on the average monthly rainfall of the last 10 years in Lisbon area and another which considers the best linear combination of average monthly rainfall from the last 10 years and the amount of rainfall in the previous month. We study the behavior of the solutions under different weather scenarios and we compare the solutions obtained using our model of rainfall with solutions obtained having a prior knowledge of the rainfall.
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https://hal.inria.fr/hal-00917180
Contributor : Estelle Bouzat <>
Submitted on : Wednesday, December 11, 2013 - 2:23:41 PM
Last modification on : Sunday, November 15, 2020 - 7:30:03 PM

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Sofia Lopes, Fernando Fontes, Rui Pereira, A.-M. Gonçalves, Gaspar Machado. Irrigation planning: An optimal control approach. 11th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2013), 2013, rhodes, Greece. pp.622-625, ⟨10.1063/1.4825568⟩. ⟨hal-00917180⟩

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