Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.isatra.2020.03.027 http://hdl.handle.net/11449/201668 |
Resumo: | This paper proposes a new identification method based on an exponential modulation scheme for the determination of the coefficients and exponents of a fractional-order transfer function. The proposed approach has a broader scope of application compared to a previous method based on step response data, in that it allows for the use of arbitrary input signals. Moreover, it dispenses with the need for repeated simulations during the search for the best fractional exponents, which significantly reduces the computational workload involved in the identification process. Two examples involving measurement noise at the observed system output are presented to illustrate the effectiveness of the proposed method when compared to a conventional output-error optimization approach based on the polytope algorithm. In both examples, the proposed method is found to provide a better trade-off between computational workload and accuracy of the parameter estimates for different realizations of the noise. |
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Repositório Institucional da UNESP |
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Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveformsFractional order systemsSystem identificationTransfer functionsThis paper proposes a new identification method based on an exponential modulation scheme for the determination of the coefficients and exponents of a fractional-order transfer function. The proposed approach has a broader scope of application compared to a previous method based on step response data, in that it allows for the use of arbitrary input signals. Moreover, it dispenses with the need for repeated simulations during the search for the best fractional exponents, which significantly reduces the computational workload involved in the identification process. Two examples involving measurement noise at the observed system output are presented to illustrate the effectiveness of the proposed method when compared to a conventional output-error optimization approach based on the polytope algorithm. In both examples, the proposed method is found to provide a better trade-off between computational workload and accuracy of the parameter estimates for different realizations of the noise.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Electronic Engineering Instituto Tecnológico de Aeronáutica (ITA) São José dos CamposDepartment of Electrical Engineering São Paulo State University (UNESP)Institute of Science and Technology Universidade Federal de São Paulo (UNIFESP) São José dos CamposSchool of Biological Sciences Department of Biomedical Engineering The University of ReadingDepartment of Electrical Engineering São Paulo State University (UNESP)FAPESP: 2011/13777-8FAPESP: 2011/17610-0CNPq: 301227/2017-9CNPq: 303393/2018-1CNPq: 309872/2018-9São José dos CamposUniversidade Estadual Paulista (Unesp)Universidade Federal de São Paulo (UNIFESP)The University of ReadingGalvão, Roberto Kawakami HarropTeixeira, Marcelo Carvalho Minhoto [UNESP]Assunção, Edvaldo [UNESP]Paiva, Henrique MohallemHadjiloucas, Sillas2020-12-12T02:38:36Z2020-12-12T02:38:36Z2020-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10-18http://dx.doi.org/10.1016/j.isatra.2020.03.027ISA Transactions, v. 103, p. 10-18.0019-0578http://hdl.handle.net/11449/20166810.1016/j.isatra.2020.03.0272-s2.0-85082853001Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengISA Transactionsinfo:eu-repo/semantics/openAccess2021-10-22T20:49:08Zoai:repositorio.unesp.br:11449/201668Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T20:49:08Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
title |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
spellingShingle |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms Galvão, Roberto Kawakami Harrop Fractional order systems System identification Transfer functions |
title_short |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
title_full |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
title_fullStr |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
title_full_unstemmed |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
title_sort |
Identification of fractional-order transfer functions using exponentially modulated signals with arbitrary excitation waveforms |
author |
Galvão, Roberto Kawakami Harrop |
author_facet |
Galvão, Roberto Kawakami Harrop Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] Paiva, Henrique Mohallem Hadjiloucas, Sillas |
author_role |
author |
author2 |
Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] Paiva, Henrique Mohallem Hadjiloucas, Sillas |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
São José dos Campos Universidade Estadual Paulista (Unesp) Universidade Federal de São Paulo (UNIFESP) The University of Reading |
dc.contributor.author.fl_str_mv |
Galvão, Roberto Kawakami Harrop Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] Paiva, Henrique Mohallem Hadjiloucas, Sillas |
dc.subject.por.fl_str_mv |
Fractional order systems System identification Transfer functions |
topic |
Fractional order systems System identification Transfer functions |
description |
This paper proposes a new identification method based on an exponential modulation scheme for the determination of the coefficients and exponents of a fractional-order transfer function. The proposed approach has a broader scope of application compared to a previous method based on step response data, in that it allows for the use of arbitrary input signals. Moreover, it dispenses with the need for repeated simulations during the search for the best fractional exponents, which significantly reduces the computational workload involved in the identification process. Two examples involving measurement noise at the observed system output are presented to illustrate the effectiveness of the proposed method when compared to a conventional output-error optimization approach based on the polytope algorithm. In both examples, the proposed method is found to provide a better trade-off between computational workload and accuracy of the parameter estimates for different realizations of the noise. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T02:38:36Z 2020-12-12T02:38:36Z 2020-08-01 |
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 |
http://dx.doi.org/10.1016/j.isatra.2020.03.027 ISA Transactions, v. 103, p. 10-18. 0019-0578 http://hdl.handle.net/11449/201668 10.1016/j.isatra.2020.03.027 2-s2.0-85082853001 |
url |
http://dx.doi.org/10.1016/j.isatra.2020.03.027 http://hdl.handle.net/11449/201668 |
identifier_str_mv |
ISA Transactions, v. 103, p. 10-18. 0019-0578 10.1016/j.isatra.2020.03.027 2-s2.0-85082853001 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
ISA Transactions |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
10-18 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1799964929186332672 |