Approximating fractional derivatives in the perspective of system control

Bibliographic Details
Main Author: Machado, J. A. Tenreiro
Publication Date: 2009
Other Authors: Galhano, Alexandra
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/4582
Summary: The theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently. In the area of automatic control some work was developed, but the proposed algorithms are still in a research stage. This paper discusses a novel method, with two degrees of freedom, for the design of fractional discrete-time derivatives. The performance of several approximations of fractional derivatives is investigated in the perspective of nonlinear system control.
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spelling Approximating fractional derivatives in the perspective of system controlFractional calculusControlDiscretization schemesThe theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently. In the area of automatic control some work was developed, but the proposed algorithms are still in a research stage. This paper discusses a novel method, with two degrees of freedom, for the design of fractional discrete-time derivatives. The performance of several approximations of fractional derivatives is investigated in the perspective of nonlinear system control.SpringerREPOSITÓRIO P.PORTOMachado, J. A. TenreiroGalhano, Alexandra2014-06-25T11:52:46Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4582eng0924-090X1573-269X10.1007/s11071-008-9409-4info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:22:43Zoai:recipp.ipp.pt:10400.22/4582Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:53:33.298869Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Approximating fractional derivatives in the perspective of system control
title Approximating fractional derivatives in the perspective of system control
spellingShingle Approximating fractional derivatives in the perspective of system control
Machado, J. A. Tenreiro
Fractional calculus
Control
Discretization schemes
title_short Approximating fractional derivatives in the perspective of system control
title_full Approximating fractional derivatives in the perspective of system control
title_fullStr Approximating fractional derivatives in the perspective of system control
title_full_unstemmed Approximating fractional derivatives in the perspective of system control
title_sort Approximating fractional derivatives in the perspective of system control
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
Galhano, Alexandra
author_role author
author2 Galhano, Alexandra
author2_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
Galhano, Alexandra
dc.subject.por.fl_str_mv Fractional calculus
Control
Discretization schemes
topic Fractional calculus
Control
Discretization schemes
description The theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently. In the area of automatic control some work was developed, but the proposed algorithms are still in a research stage. This paper discusses a novel method, with two degrees of freedom, for the design of fractional discrete-time derivatives. The performance of several approximations of fractional derivatives is investigated in the perspective of nonlinear system control.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2014-06-25T11:52:46Z
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://hdl.handle.net/10400.22/4582
url http://hdl.handle.net/10400.22/4582
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0924-090X
1573-269X
10.1007/s11071-008-9409-4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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