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A simple mathematical model to steering oceanic debris to a targeted region

dc.contributor.authorBalsa, Carlos
dc.contributor.authorOtero-Espinar, M. Victoria
dc.contributor.authorGama, Sílvio M.A.
dc.date.accessioned2024-02-20T15:06:18Z
dc.date.available2024-02-20T15:06:18Z
dc.date.issued2024
dc.description.abstractIn 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.pt_PT
dc.description.sponsorshipCarlos Balsa is grateful to the Foundation for Science and Technology (FCT, Portugal) for financial support through national funds FCT/MCTES (PIDDAC) to CeDRI (UIDB/05757/2020 and UIDP/05757/2020) and SusTEC (LA/P/0007/2021). M. Victoria Otero-Espinar is partially supported by the Ministerio de Ciencia e Innovaci´on, Agencia Estatal de Investigación (Spain), grant PID2020-115155GB-I00. Sílvio Gama is partially supported by (i) CMUP, member of LASI, which is financed by national funds through FCT - Fundação para a Ciência e a Tecnologia, I.P., under the project with reference UIDB/00144/2020, and (ii) project SNAP NORTE-01-0145- FEDER-000085, co-financed by the European Regional Development Fund (ERDF) through the North Portugal Regional Operational Programme (NORTE2020) under Portugal 2020 Partnership Agreement.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBalsa, Carlos; Otero-Espinar, M. Victoria; Gama, Sílvio M.A. (2024). A simple mathematical model to steering oceanic debris to a targeted region. In 3rd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability (ARTIIS). ISSN 1865-0929. 1937, p. 58-70pt_PT
dc.identifier.doi10.1007/978-3-031-48930-3_5pt_PT
dc.identifier.eissn1865-0937
dc.identifier.issn1865-0929
dc.identifier.urihttp://hdl.handle.net/10198/29569
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer Naturept_PT
dc.relationLA/P/0007/2021pt_PT
dc.relationResearch Centre in Digitalization and Intelligent Robotics
dc.relationResearch Centre in Digitalization and Intelligent Robotics
dc.relationCentre of Mathematics of the University of Porto
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectOcean pollutionpt_PT
dc.subjectComputation in Earth sciencespt_PT
dc.subjectVortex dynamicspt_PT
dc.subjectPassive tracerpt_PT
dc.subjectNon-linear optimizationpt_PT
dc.titleA simple mathematical model to steering oceanic debris to a targeted regionpt_PT
dc.typeconference paper
dspace.entity.typePublication
oaire.awardTitleResearch Centre in Digitalization and Intelligent Robotics
oaire.awardTitleResearch Centre in Digitalization and Intelligent Robotics
oaire.awardTitleCentre of Mathematics of the University of Porto
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F05757%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F05757%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT
oaire.citation.endPage70pt_PT
oaire.citation.startPage58pt_PT
oaire.citation.title3rd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability (ARTIIS)pt_PT
oaire.citation.volume1937pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBalsa
person.givenNameCarlos
person.identifier1721518
person.identifier.ciencia-idDE1E-2F7A-AAB1
person.identifier.orcid0000-0003-2431-8665
person.identifier.ridM-8735-2013
person.identifier.scopus-author-id23391719100
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typeconferenceObjectpt_PT
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