Publication
A simple mathematical model to steering oceanic debris to a targeted region
| Summary: | In this article, a simplified mathematical model is presented to depict the process of collecting ocean debris. The responsible autonomous vehicles for transporting the trash are represented as passive particles, while the ocean current is simulated by the movement of point vortices on a sphere. To ensure the autonomy of the vehicles, a system of piecewise constant controls is employed, using a limited number of predetermined switching points that determine their trajectories. Each control incurs an energy cost that is aimed to be minimized. This minimization is achieved by solving a nonlinear optimization problem on the spherical surface. The initial findings indicate the existence of multiple possible trajectories for autonomous vehicles. |
|---|---|
| Main Authors: | Balsa, Carlos |
| Other Authors: | Otero-Espinar, M. Victoria; Gama, Sílvio M.A. |
| Subject: | Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| Year: | 2024 |
| Country: | Portugal |
| Document type: | conference paper |
| Access type: | restricted access |
| Associated institution: | Instituto Politécnico de Bragança |
| Language: | English |
| Origin: | Biblioteca Digital do IPB |
| _version_ | 1867173345337802752 |
|---|---|
| author | Balsa, Carlos |
| author2 | Otero-Espinar, M. Victoria Gama, Sílvio M.A. |
| author2_role | author author |
| author_facet | Balsa, Carlos Otero-Espinar, M. Victoria Gama, Sílvio M.A. |
| author_role | author |
| contributor_name_str_mv | Biblioteca Digital do IPB |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Balsa, Carlos\",\"Person.identifier.orcid\":\"0000-0003-2431-8665\"},{\"Person.name\":\"Otero-Espinar, M. Victoria\"},{\"Person.name\":\"Gama, Sílvio M.A.\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Biblioteca Digital do IPB |
| datacite.creators.creator.creatorName.fl_str_mv | Balsa, Carlos Otero-Espinar, M. Victoria Gama, Sílvio M.A. |
| datacite.date.Accepted.fl_str_mv | 2024-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2024-02-20T15:06:18Z |
| datacite.date.embargoed.fl_str_mv | 2024-02-20T15:06:18Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| datacite.subjects.subject.fl_str_mv | Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| datacite.titles.title.fl_str_mv | A simple mathematical model to steering oceanic debris to a targeted region |
| dc.contributor.none.fl_str_mv | Biblioteca Digital do IPB |
| dc.creator.none.fl_str_mv | Balsa, Carlos Otero-Espinar, M. Victoria Gama, Sílvio M.A. |
| dc.date.Accepted.fl_str_mv | 2024-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2024-02-20T15:06:18Z |
| dc.date.embargoed.fl_str_mv | 2024-02-20T15:06:18Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10198/29569 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer Nature |
| dc.rights.cclincense.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| dc.subject.none.fl_str_mv | Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| dc.title.fl_str_mv | A simple mathematical model to steering oceanic debris to a targeted region |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_5794 |
| description | In this article, a simplified mathematical model is presented to depict the process of collecting ocean debris. The responsible autonomous vehicles for transporting the trash are represented as passive particles, while the ocean current is simulated by the movement of point vortices on a sphere. To ensure the autonomy of the vehicles, a system of piecewise constant controls is employed, using a limited number of predetermined switching points that determine their trajectories. Each control incurs an energy cost that is aimed to be minimized. This minimization is achieved by solving a nonlinear optimization problem on the spherical surface. The initial findings indicate the existence of multiple possible trajectories for autonomous vehicles. |
| dirty | 0 |
| eu_rights_str_mv | restrictedAccess |
| format | conferencePaper |
| fulltext.url.fl_str_mv | https://bibliotecadigital.ipb.pt/bitstreams/3403ddbd-ea74-4380-b394-b1f858693d8a/download |
| funding.funder.alternateName_str_mv | FCT FCT FCT |
| funding.funder.identifier_str_mv | http://doi.org/10.13039/501100001871 http://doi.org/10.13039/501100001871 http://doi.org/10.13039/501100001871 |
| funding.funder.name_str_mv | Fundação para a Ciência e a Tecnologia Fundação para a Ciência e a Tecnologia Fundação para a Ciência e a Tecnologia |
| funding.name_str_mv | 6817 - DCRRNI ID 6817 - DCRRNI ID 6817 - DCRRNI ID |
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| identifier.url.fl_str_mv | http://hdl.handle.net/10198/29569 |
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| institution | Instituto Politécnico de Bragança |
| instname_str | Instituto Politécnico de Bragança |
| language | eng |
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| network_name_str | Biblioteca Digital do IPB |
| oai_identifier_str | oai:bibliotecadigital.ipb.pt:10198/29569 |
| organization_str_mv | urn:organizationAcronym:ipb |
| person_str_mv | Balsa, Carlos Balsa, Carlos https://www.ciencia-id.pt/DE1E-2F7A-AAB1 DE1E-2F7A-AAB1 http://orcid.org/0000-0003-2431-8665 0000-0003-2431-8665 Otero-Espinar, M. Victoria Gama, Sílvio M.A. |
| publishDate | 2024 |
| publisher.none.fl_str_mv | Springer Nature |
| reponame_str | Biblioteca Digital do IPB |
| repository_id_str | urn:repositoryAcronym:ipb |
| service_str_mv | urn:repositoryAcronym:ipb |
| spelling | engSpringer Naturept_PTIn this article, a simplified mathematical model is presented to depict the process of collecting ocean debris. The responsible autonomous vehicles for transporting the trash are represented as passive particles, while the ocean current is simulated by the movement of point vortices on a sphere. To ensure the autonomy of the vehicles, a system of piecewise constant controls is employed, using a limited number of predetermined switching points that determine their trajectories. Each control incurs an energy cost that is aimed to be minimized. This minimization is achieved by solving a nonlinear optimization problem on the spherical surface. The initial findings indicate the existence of multiple possible trajectories for autonomous vehicles.application/pdfpt_PTA simple mathematical model to steering oceanic debris to a targeted regionPersonalBalsa, CarlosDSpacehttp://dspace.org/items/d0e5ccff-9696-4f4f-9567-8d698a6bf17dDSpacehttp://dspace.org/items/d0e5ccff-9696-4f4f-9567-8d698a6bf17dBalsaCarlosCiência IDhttps://www.ciencia-id.ptDE1E-2F7A-AAB1ORCIDhttp://orcid.org0000-0003-2431-8665Researcher IDhttps://www.researcherid.comM-8735-2013Scopus Author IDhttps://www.scopus.com23391719100Otero-Espinar, M. VictoriaGama, Sílvio M.A.HostingInstitutionOrganizationalBiblioteca Digital do IPBe-mailmailto:dspace@ipb.ptdspace@ipb.ptISSNIsPartOf1865-0929DOIIsPartOf10.1007/978-3-031-48930-3_52024-02-20T15:06:18Z20242024-01-01T00:00:00ZHandlehttp://hdl.handle.net/10198/29569http://purl.org/coar/access_right/c_16ecrestricted accessOcean pollutionComputation in Earth sciencesVortex dynamicsPassive tracerNon-linear optimization2093257 bytesFundação para a Ciência e a TecnologiaResearch Centre in Digitalization and Intelligent Robotics6817 - DCRRNI IDCrossref Funder IDhttp://doi.org/10.13039/501100001871Fundação para a Ciência e a TecnologiaResearch Centre in Digitalization and Intelligent Robotics6817 - DCRRNI IDCrossref Funder IDhttp://doi.org/10.13039/501100001871Fundação para a Ciência e a TecnologiaCentre of Mathematics of the University of Porto6817 - DCRRNI IDCrossref Funder IDhttp://doi.org/10.13039/501100001871other research producthttp://purl.org/coar/resource_type/c_5794conference paper2024http://creativecommons.org/licenses/by/4.0/http://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://bibliotecadigital.ipb.pt/bitstreams/3403ddbd-ea74-4380-b394-b1f858693d8a/download3rd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability (ARTIIS)19375870 |
| spellingShingle | A simple mathematical model to steering oceanic debris to a targeted region Balsa, Carlos Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| status | SINGLETON |
| subject.fl_str_mv | Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| title | A simple mathematical model to steering oceanic debris to a targeted region |
| title_full | A simple mathematical model to steering oceanic debris to a targeted region |
| title_fullStr | A simple mathematical model to steering oceanic debris to a targeted region |
| title_full_unstemmed | A simple mathematical model to steering oceanic debris to a targeted region |
| title_short | A simple mathematical model to steering oceanic debris to a targeted region |
| title_sort | A simple mathematical model to steering oceanic debris to a targeted region |
| topic | Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| topic_facet | Ocean pollution Computation in Earth sciences Vortex dynamics Passive tracer Non-linear optimization |
| url | http://hdl.handle.net/10198/29569 |
| visible | 1 |