A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order

Detalhes bibliográficos
Autor(a) principal: Maria do Rosário de Pinho
Data de Publicação: 2018
Outros Autores: Z. Foroozandeh, M. Shamsi
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/109697
Resumo: This paper presents a hybrid approach to solve singular optimal control problems. It combines the direct Euler method with a modified indirect shooting method. The presented method circumvents the main difficulties and drawbacks of both the direct and indirect methods, when applied to the singular optimal control problems. This method does not require a priori knowledge of the switching structure of the solution and it can be applied to finite or infinite order singular optimal control problems. It provides not only an approximate optimal solution for the problem but, remarkably, it also produces the switching times. We illustrate the features of this new approach treating numerically through two optimal control problems, one of finite order and the other with infinite order.
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spelling A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite OrderThis paper presents a hybrid approach to solve singular optimal control problems. It combines the direct Euler method with a modified indirect shooting method. The presented method circumvents the main difficulties and drawbacks of both the direct and indirect methods, when applied to the singular optimal control problems. This method does not require a priori knowledge of the switching structure of the solution and it can be applied to finite or infinite order singular optimal control problems. It provides not only an approximate optimal solution for the problem but, remarkably, it also produces the switching times. We illustrate the features of this new approach treating numerically through two optimal control problems, one of finite order and the other with infinite order.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/109697eng1028-627610.1007/s40995-017-0176-2Maria do Rosário de PinhoZ. ForoozandehM. Shamsiinfo: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:RCAAP2023-11-29T12:57:44Zoai:repositorio-aberto.up.pt:10216/109697Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:30:30.216422Repositório 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 A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
title A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
spellingShingle A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
Maria do Rosário de Pinho
title_short A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
title_full A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
title_fullStr A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
title_full_unstemmed A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
title_sort A Hybrid Direct-Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
author Maria do Rosário de Pinho
author_facet Maria do Rosário de Pinho
Z. Foroozandeh
M. Shamsi
author_role author
author2 Z. Foroozandeh
M. Shamsi
author2_role author
author
dc.contributor.author.fl_str_mv Maria do Rosário de Pinho
Z. Foroozandeh
M. Shamsi
description This paper presents a hybrid approach to solve singular optimal control problems. It combines the direct Euler method with a modified indirect shooting method. The presented method circumvents the main difficulties and drawbacks of both the direct and indirect methods, when applied to the singular optimal control problems. This method does not require a priori knowledge of the switching structure of the solution and it can be applied to finite or infinite order singular optimal control problems. It provides not only an approximate optimal solution for the problem but, remarkably, it also produces the switching times. We illustrate the features of this new approach treating numerically through two optimal control problems, one of finite order and the other with infinite order.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/109697
url https://hdl.handle.net/10216/109697
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1028-6276
10.1007/s40995-017-0176-2
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)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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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