Fractional control of heat diffusion systems

Bibliographic Details
Main Author: Jesus, Isabel S.
Publication Date: 2008
Other Authors: Machado, J. A. Tenreiro
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/4574
Summary: The concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared. Simulations are presented assessing the performance of the proposed fractional-order algorithms.
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spelling Fractional control of heat diffusion systemsPID tuningFractional calculusFractional-order systemsISE and ITSE optimizationThe concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared. Simulations are presented assessing the performance of the proposed fractional-order algorithms.SpringerREPOSITÓRIO P.PORTOJesus, Isabel S.Machado, J. A. Tenreiro2014-06-25T11:08:37Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4574eng0924-090X1573-269X10.1007/s11071-007-9322-2info: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:RCAAP2025-04-02T03:08:58Zoai:recipp.ipp.pt:10400.22/4574Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:44:04.975824Repositórios 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 Fractional control of heat diffusion systems
title Fractional control of heat diffusion systems
spellingShingle Fractional control of heat diffusion systems
Jesus, Isabel S.
PID tuning
Fractional calculus
Fractional-order systems
ISE and ITSE optimization
title_short Fractional control of heat diffusion systems
title_full Fractional control of heat diffusion systems
title_fullStr Fractional control of heat diffusion systems
title_full_unstemmed Fractional control of heat diffusion systems
title_sort Fractional control of heat diffusion systems
author Jesus, Isabel S.
author_facet Jesus, Isabel S.
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Jesus, Isabel S.
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv PID tuning
Fractional calculus
Fractional-order systems
ISE and ITSE optimization
topic PID tuning
Fractional calculus
Fractional-order systems
ISE and ITSE optimization
description The concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared. Simulations are presented assessing the performance of the proposed fractional-order algorithms.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
2014-06-25T11:08:37Z
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/10400.22/4574
url http://hdl.handle.net/10400.22/4574
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0924-090X
1573-269X
10.1007/s11071-007-9322-2
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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