Control of a novel chaotic fractional order system using a state feedback technique

Detalhes bibliográficos
Autor(a) principal: Razminia, A.
Data de Publicação: 2013
Outros Autores: Torres, D. F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/11881
Resumo: We consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition for the system to remain chaotic is derived. It is found that chaos exists in the system with order less than three. Using the Routh-Hurwitz and the Matignon stability criteria, we analyze the novel chaotic fractional order system and propose a control methodology that is better than the nonlinear counterparts available in the literature, in the sense of simplicity of implementation and analysis. A scalar control input that excites only one of the states is proposed, and sufficient conditions for the controller gain to stabilize the unstable equilibrium points derived. Numerical simulations confirm the theoretical analysis. © 2013 Elsevier Ltd. All rights reserved.
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spelling Control of a novel chaotic fractional order system using a state feedback techniqueChaosControl of chaosFractional order systemsStability testsChaotic fractional-order systemsControl methodologyFeedback techniquesFractional-order chaotic systemsFractional-order systemsUnstable equilibrium pointsAlgebraChaos theoryStability criteriaState feedbackChaotic systemsWe consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition for the system to remain chaotic is derived. It is found that chaos exists in the system with order less than three. Using the Routh-Hurwitz and the Matignon stability criteria, we analyze the novel chaotic fractional order system and propose a control methodology that is better than the nonlinear counterparts available in the literature, in the sense of simplicity of implementation and analysis. A scalar control input that excites only one of the states is proposed, and sufficient conditions for the controller gain to stabilize the unstable equilibrium points derived. Numerical simulations confirm the theoretical analysis. © 2013 Elsevier Ltd. All rights reserved.Elsevier2014-02-21T16:05:16Z2013-01-01T00:00:00Z2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/11881eng0957-415810.1016/j.mechatronics.2013.03.002Razminia, A.Torres, D. F. M.info: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:RCAAP2024-02-22T11:21:10Zoai:ria.ua.pt:10773/11881Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:48:04.142008Repositório 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 Control of a novel chaotic fractional order system using a state feedback technique
title Control of a novel chaotic fractional order system using a state feedback technique
spellingShingle Control of a novel chaotic fractional order system using a state feedback technique
Razminia, A.
Chaos
Control of chaos
Fractional order systems
Stability tests
Chaotic fractional-order systems
Control methodology
Feedback techniques
Fractional-order chaotic systems
Fractional-order systems
Unstable equilibrium points
Algebra
Chaos theory
Stability criteria
State feedback
Chaotic systems
title_short Control of a novel chaotic fractional order system using a state feedback technique
title_full Control of a novel chaotic fractional order system using a state feedback technique
title_fullStr Control of a novel chaotic fractional order system using a state feedback technique
title_full_unstemmed Control of a novel chaotic fractional order system using a state feedback technique
title_sort Control of a novel chaotic fractional order system using a state feedback technique
author Razminia, A.
author_facet Razminia, A.
Torres, D. F. M.
author_role author
author2 Torres, D. F. M.
author2_role author
dc.contributor.author.fl_str_mv Razminia, A.
Torres, D. F. M.
dc.subject.por.fl_str_mv Chaos
Control of chaos
Fractional order systems
Stability tests
Chaotic fractional-order systems
Control methodology
Feedback techniques
Fractional-order chaotic systems
Fractional-order systems
Unstable equilibrium points
Algebra
Chaos theory
Stability criteria
State feedback
Chaotic systems
topic Chaos
Control of chaos
Fractional order systems
Stability tests
Chaotic fractional-order systems
Control methodology
Feedback techniques
Fractional-order chaotic systems
Fractional-order systems
Unstable equilibrium points
Algebra
Chaos theory
Stability criteria
State feedback
Chaotic systems
description We consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition for the system to remain chaotic is derived. It is found that chaos exists in the system with order less than three. Using the Routh-Hurwitz and the Matignon stability criteria, we analyze the novel chaotic fractional order system and propose a control methodology that is better than the nonlinear counterparts available in the literature, in the sense of simplicity of implementation and analysis. A scalar control input that excites only one of the states is proposed, and sufficient conditions for the controller gain to stabilize the unstable equilibrium points derived. Numerical simulations confirm the theoretical analysis. © 2013 Elsevier Ltd. All rights reserved.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01T00:00:00Z
2013
2014-02-21T16:05:16Z
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/10773/11881
url http://hdl.handle.net/10773/11881
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0957-4158
10.1016/j.mechatronics.2013.03.002
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
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
repository.mail.fl_str_mv
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