Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results

Detalhes bibliográficos
Autor(a) principal: Lopes, SO
Data de Publicação: 2015
Outros Autores: Fontes, Fernando A C C, Pereira, RMS, Maria do Rosário de Pinho, Ribeiro, C
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://repositorio-aberto.up.pt/handle/10216/109707
Resumo: In a previous study, the authors developed the planning of the water used in the irrigation systems of a given farmland in order to ensure that the field cultivation is in a good state of preservation. This planning was modelled and tackled as an optimal control problem: minimize the water flow (control) so that the extent water amount in the soil (trajectory) fulfils the cultivation water requirements. In this paper, we characterize the solution of our problem guaranteeing the existence of the solution and applying the necessary and sufficient conditions of optimality. We validate the numerical results obtained previously, comparing the analytical and numerical solutions.
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spelling Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical ResultsIn a previous study, the authors developed the planning of the water used in the irrigation systems of a given farmland in order to ensure that the field cultivation is in a good state of preservation. This planning was modelled and tackled as an optimal control problem: minimize the water flow (control) so that the extent water amount in the soil (trajectory) fulfils the cultivation water requirements. In this paper, we characterize the solution of our problem guaranteeing the existence of the solution and applying the necessary and sufficient conditions of optimality. We validate the numerical results obtained previously, comparing the analytical and numerical solutions.20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/109707eng10.1007/978-3-319-10380-8_16Lopes, SOFontes, Fernando A C CPereira, RMSMaria do Rosário de PinhoRibeiro, Cinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T12:29:56Zoai:repositorio-aberto.up.pt:10216/109707Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:21:27.686064Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
title Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
spellingShingle Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
Lopes, SO
title_short Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
title_full Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
title_fullStr Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
title_full_unstemmed Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
title_sort Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results
author Lopes, SO
author_facet Lopes, SO
Fontes, Fernando A C C
Pereira, RMS
Maria do Rosário de Pinho
Ribeiro, C
author_role author
author2 Fontes, Fernando A C C
Pereira, RMS
Maria do Rosário de Pinho
Ribeiro, C
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Lopes, SO
Fontes, Fernando A C C
Pereira, RMS
Maria do Rosário de Pinho
Ribeiro, C
description In a previous study, the authors developed the planning of the water used in the irrigation systems of a given farmland in order to ensure that the field cultivation is in a good state of preservation. This planning was modelled and tackled as an optimal control problem: minimize the water flow (control) so that the extent water amount in the soil (trajectory) fulfils the cultivation water requirements. In this paper, we characterize the solution of our problem guaranteeing the existence of the solution and applying the necessary and sufficient conditions of optimality. We validate the numerical results obtained previously, comparing the analytical and numerical solutions.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/book
format book
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://repositorio-aberto.up.pt/handle/10216/109707
url https://repositorio-aberto.up.pt/handle/10216/109707
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1007/978-3-319-10380-8_16
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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