Representation of robotic fractional dynamics in the pseudo phase plane

Detalhes bibliográficos
Autor(a) principal: Lima, Miguel F. M.
Data de Publicação: 2011
Outros Autores: Tenreiro Machado, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/13135
Resumo: This paper analyses robotic signals in the perspective of fractional dynamics and the pseudo phase plane (PPP). It is shown that the spectra of several experimental signals can be approximated by trend lines whose slope characterizes their fractional behavior. For the PPP reconstruction of each signal, the time lags are calculated through the fractal dimension. Moreover, to obtain a smooth PPP, the noisy signals are filtered through wavelets. The behavior of the spectra reveals a relationship with the fractal dimension of the PPP and the corresponding time delay.
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spelling Representation of robotic fractional dynamics in the pseudo phase planeFractal dimensionRoboticsPseudo phase planeFractional calculusMutual informationThis paper analyses robotic signals in the perspective of fractional dynamics and the pseudo phase plane (PPP). It is shown that the spectra of several experimental signals can be approximated by trend lines whose slope characterizes their fractional behavior. For the PPP reconstruction of each signal, the time lags are calculated through the fractal dimension. Moreover, to obtain a smooth PPP, the noisy signals are filtered through wavelets. The behavior of the spectra reveals a relationship with the fractal dimension of the PPP and the corresponding time delay.SpringerRepositório Científico do Instituto Politécnico do PortoLima, Miguel F. M.Tenreiro Machado, J. A.20112115-10-01T00:00:00Z2011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/13135eng0567-771810.1007/s10409-011-0405-4metadata only accessinfo: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:RCAAP2023-03-13T12:48:59Zoai:recipp.ipp.pt:10400.22/13135Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:28:42.033397Repositório 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 Representation of robotic fractional dynamics in the pseudo phase plane
title Representation of robotic fractional dynamics in the pseudo phase plane
spellingShingle Representation of robotic fractional dynamics in the pseudo phase plane
Lima, Miguel F. M.
Fractal dimension
Robotics
Pseudo phase plane
Fractional calculus
Mutual information
title_short Representation of robotic fractional dynamics in the pseudo phase plane
title_full Representation of robotic fractional dynamics in the pseudo phase plane
title_fullStr Representation of robotic fractional dynamics in the pseudo phase plane
title_full_unstemmed Representation of robotic fractional dynamics in the pseudo phase plane
title_sort Representation of robotic fractional dynamics in the pseudo phase plane
author Lima, Miguel F. M.
author_facet Lima, Miguel F. M.
Tenreiro Machado, J. A.
author_role author
author2 Tenreiro Machado, J. A.
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Lima, Miguel F. M.
Tenreiro Machado, J. A.
dc.subject.por.fl_str_mv Fractal dimension
Robotics
Pseudo phase plane
Fractional calculus
Mutual information
topic Fractal dimension
Robotics
Pseudo phase plane
Fractional calculus
Mutual information
description This paper analyses robotic signals in the perspective of fractional dynamics and the pseudo phase plane (PPP). It is shown that the spectra of several experimental signals can be approximated by trend lines whose slope characterizes their fractional behavior. For the PPP reconstruction of each signal, the time lags are calculated through the fractal dimension. Moreover, to obtain a smooth PPP, the noisy signals are filtered through wavelets. The behavior of the spectra reveals a relationship with the fractal dimension of the PPP and the corresponding time delay.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
2115-10-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/13135
url http://hdl.handle.net/10400.22/13135
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0567-7718
10.1007/s10409-011-0405-4
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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