Publicação
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions
| Resumo: | In this paper, we address the problem of minimizing the total water consumption over the period of a year used to supply different fields with different types of crops.We start by recalling a previous study, where the authors developed an optimal control model for this problem by minimizing the water flowing into a reservoir and where the water from the precipitation can be collected. The numerical solution obtained using such model is analyzed.The main result in this paper is the theoretical validation of the numerical solution via a verifications that such solution satisfies the necessary conditions of optimality in the form of a Maximum Principle. This way, we are giving further evidence of the optimality of the numerical solution found. |
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| Autores principais: | Lopes, Sofia O. |
| Outros Autores: | Fontes, Fernando A. C. C. |
| Assunto: | Automation and control; optimization; optimal control, irrigation systems |
| Ano: | 2017 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | unknown |
| Instituição associada: | Instituto Superior de Engenharia de Lisboa |
| Idioma: | inglês |
| Origem: | i-ETC : ISEL Academic Journal of Electronics Telecommunications and Computers |
| Resumo: | In this paper, we address the problem of minimizing the total water consumption over the period of a year used to supply different fields with different types of crops.We start by recalling a previous study, where the authors developed an optimal control model for this problem by minimizing the water flowing into a reservoir and where the water from the precipitation can be collected. The numerical solution obtained using such model is analyzed.The main result in this paper is the theoretical validation of the numerical solution via a verifications that such solution satisfies the necessary conditions of optimality in the form of a Maximum Principle. This way, we are giving further evidence of the optimality of the numerical solution found. |
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