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Optimal Control Applied to an Irrigation Planning Problem

2016; Hindawi Publishing Corporation; Volume: 2016; Linguagem: Inglês

10.1155/2016/5076879

1563-5147

Sofia O. Lopes, Fernando A. C. C. Fontes, Rui M. S. Pereira, Maria do Rosário de Pinho, A. Manuela Gonçalves,

Hydraulic flow and structures

We propose a mathematical model to study the water usage for the irrigation of given farmland to guarantee that the field crop is kept in a good state of preservation. This problem is formulated as an optimal control problem. The lack of analytic solution leads us to turn to numerical methods to solve the problem numerically. We then apply necessary conditions of optimality to validate the numerical solution. To deal with the high degree of unpredictability of water inflow due to weather, we further propose a replan strategy and we implement it.