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Quadratic optimal fuzzy control

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Resumo:One presents a fuzzy logic approach for optimal control of discrete-time nonlinear dynamic systems with a quadratic criterion. The approach is based on Pontryagin’s Minimum Principle. Using back propagation from the final co-state error and gradient descent, a method is devised which allows for training an adaptive fuzzy inference system to estimate values for the co-state variables converging to the optimal ones. In turn this implies that the controlled variables trajectories also converge to the optimal ones. The approach allows finding a solution to the optimal control problem on-line, by training of the system, rather than by pre computing it. In particular, the use of an adaptive fuzzy inference system also will allow incorporating a priori knowledge about the optimal behavior of the co-state variable and track changes in the system.
Autores principais:Salgado, Paulo
Outros Autores:Igrejas, Getúlio; Garrido, Paulo
Assunto:Fuzzy systems Optimal
Ano:2006
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso aberto
Instituição associada:Instituto Politécnico de Bragança
Idioma:inglês
Origem:Biblioteca Digital do IPB
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author Salgado, Paulo
author2 Igrejas, Getúlio
Garrido, Paulo
author2_role author
author
author_facet Salgado, Paulo
Igrejas, Getúlio
Garrido, Paulo
author_role author
contributor_name_str_mv Biblioteca Digital do IPB
country_str PT
creators_json_txt [{\"Person.name\":\"Salgado, Paulo\"},{\"Person.name\":\"Igrejas, Getúlio\",\"Person.identifier.orcid\":\"0000-0002-6820-8858\"},{\"Person.name\":\"Garrido, Paulo\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Biblioteca Digital do IPB
datacite.creators.creator.creatorName.fl_str_mv Salgado, Paulo
Igrejas, Getúlio
Garrido, Paulo
datacite.date.Accepted.fl_str_mv 2006-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2010-11-09T15:37:30Z
datacite.date.embargoed.fl_str_mv 2010-11-09T15:37:30Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Fuzzy systems
Optimal
datacite.titles.title.fl_str_mv Quadratic optimal fuzzy control
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.creator.none.fl_str_mv Salgado, Paulo
Igrejas, Getúlio
Garrido, Paulo
dc.date.Accepted.fl_str_mv 2006-01-01T00:00:00Z
dc.date.available.fl_str_mv 2010-11-09T15:37:30Z
dc.date.embargoed.fl_str_mv 2010-11-09T15:37:30Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10198/2751
dc.language.none.fl_str_mv eng
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Fuzzy systems
Optimal
dc.title.fl_str_mv Quadratic optimal fuzzy control
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_5794
description One presents a fuzzy logic approach for optimal control of discrete-time nonlinear dynamic systems with a quadratic criterion. The approach is based on Pontryagin’s Minimum Principle. Using back propagation from the final co-state error and gradient descent, a method is devised which allows for training an adaptive fuzzy inference system to estimate values for the co-state variables converging to the optimal ones. In turn this implies that the controlled variables trajectories also converge to the optimal ones. The approach allows finding a solution to the optimal control problem on-line, by training of the system, rather than by pre computing it. In particular, the use of an adaptive fuzzy inference system also will allow incorporating a priori knowledge about the optimal behavior of the co-state variable and track changes in the system.
dirty 0
eu_rights_str_mv openAccess
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fulltext.url.fl_str_mv https://bibliotecadigital.ipb.pt/bitstreams/4f77743d-e31e-421e-8184-b31f7e0743c3/download
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institution Instituto Politécnico de Bragança
instname_str Instituto Politécnico de Bragança
language eng
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oai_identifier_str oai:bibliotecadigital.ipb.pt:10198/2751
organization_str_mv urn:organizationAcronym:ipb
person_str_mv Salgado, Paulo
Igrejas, Getúlio
Igrejas, Getúlio
http://orcid.org/0000-0002-6820-8858
0000-0002-6820-8858
Garrido, Paulo
publishDate 2006
reponame_str Biblioteca Digital do IPB
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service_str_mv urn:repositoryAcronym:ipb
spelling engporOne presents a fuzzy logic approach for optimal control of discrete-time nonlinear dynamic systems with a quadratic criterion. The approach is based on Pontryagin’s Minimum Principle. Using back propagation from the final co-state error and gradient descent, a method is devised which allows for training an adaptive fuzzy inference system to estimate values for the co-state variables converging to the optimal ones. In turn this implies that the controlled variables trajectories also converge to the optimal ones. The approach allows finding a solution to the optimal control problem on-line, by training of the system, rather than by pre computing it. In particular, the use of an adaptive fuzzy inference system also will allow incorporating a priori knowledge about the optimal behavior of the co-state variable and track changes in the system.application/pdfporQuadratic optimal fuzzy controlSalgado, PauloPersonalIgrejas, GetúlioDSpacehttp://dspace.org/items/ab4092ec-d1b1-4fe0-b65a-efba1310fd5aDSpacehttp://dspace.org/items/ab4092ec-d1b1-4fe0-b65a-efba1310fd5aIgrejasGetúlioORCIDhttp://orcid.org0000-0002-6820-8858Researcher IDhttps://www.researcherid.comM-8571-2013Scopus Author IDhttps://www.scopus.com47761255900Garrido, PauloHostingInstitutionOrganizationalBiblioteca Digital do IPBe-mailmailto:dspace@ipb.ptdspace@ipb.pt2010-11-09T15:37:30Z20062006-01-01T00:00:00ZHandlehttp://hdl.handle.net/10198/2751http://purl.org/coar/access_right/c_abf2open accessFuzzy systemsOptimal809276 bytesother research producthttp://purl.org/coar/resource_type/c_5794conference paperhttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://bibliotecadigital.ipb.pt/bitstreams/4f77743d-e31e-421e-8184-b31f7e0743c3/download2006 ANIPLA International Congress on Methodologies for Emerging Technologies in AutomationRoma
spellingShingle Quadratic optimal fuzzy control
Salgado, Paulo
Fuzzy systems
Optimal
status SINGLETON
subject.fl_str_mv Fuzzy systems
Optimal
title Quadratic optimal fuzzy control
title_full Quadratic optimal fuzzy control
title_fullStr Quadratic optimal fuzzy control
title_full_unstemmed Quadratic optimal fuzzy control
title_short Quadratic optimal fuzzy control
title_sort Quadratic optimal fuzzy control
topic Fuzzy systems
Optimal
topic_facet Fuzzy systems
Optimal
url http://hdl.handle.net/10198/2751
visible 1