Optimal control of the irrigation problem : characterization of the solution
- Lopes, Sofia Oliveira
- Pereira, Rui M. S.
- Fontes, Fernando A. C. C.
- Pinho, Maria do Rosário de
- Machado, Gaspar J.
Publication date
January 2014
DOI Publisher
Elsevier BV Journal
Procedia TechnologyAbstract
Publicado em "Procedia technology, ISSN 2212-0173, vol. 17 (2014)"This article studies the optimal solution to the irrigation problem described as: minimize the water flow (control) so that the extent water amount in the soil (trajectory) fulfills the cultivation water requirements. We characterize the solution applying the necessary conditions of optimality in the form of the Maximum Principle. We also compare the results obtained analytically and numerically.The financial support of Projecto FCT PEst-C/MAT/UI0013/2011, European Union FP7 (FP7-PEOPLE-2010-ITN, Grant Agreement no. 264735-SADCO), FCT project PTDC/EEACRO/ 116014/2009, and FCT project PTDC/EEIAUT/1450/2012 are gratefully acknowledged
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