Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S0103-17592010000300001 http://hdl.handle.net/11449/71667 |
Resumo: | Given a linear time-invariant plant Gol(s) with one input and q outputs, where q > 1, a method based on the Routh-Hurwitz Stability Criterion is proposed to obtain a constant tandem matrix F ∈ ℝq, such that FGOl(s) is a minimumphase system. From this solution, the system FGol(s) is represented in state space by {A, B, FC} and a constant output feedback matrix K0 ∈ ℝ is obtained such that the feedback system {A - BK0C, B, FC} is Strictly Positive Real (SPR). The proposed procedure offers necessary and sufficient conditions for both problems. Initially, the general case, with a generic q, is analyzed. Following, the particular cases q = 2 and q = 3 are studied. |
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Repositório Institucional da UNESP |
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Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitzSPR systems synthesis through routh-hurwitz criterionMinimum phaseOutput feedbackRouth-hurwitz criterionSPR systemsFeedback systemsLinear time invariant plantmatrixMinimum-phase systemsRouth-HurwitzRouth-Hurwitz criterionState spaceStrictly positive realSufficient conditionsFeedback controlStability criteriaState feedbackFeedbackGiven a linear time-invariant plant Gol(s) with one input and q outputs, where q > 1, a method based on the Routh-Hurwitz Stability Criterion is proposed to obtain a constant tandem matrix F ∈ ℝq, such that FGOl(s) is a minimumphase system. From this solution, the system FGol(s) is represented in state space by {A, B, FC} and a constant output feedback matrix K0 ∈ ℝ is obtained such that the feedback system {A - BK0C, B, FC} is Strictly Positive Real (SPR). The proposed procedure offers necessary and sufficient conditions for both problems. Initially, the general case, with a generic q, is analyzed. Following, the particular cases q = 2 and q = 3 are studied.Departamento de Engenharia Elétrica Centro de Tecnologia e Urbanismo Universidade Estadual de Londrina, UEL Caixa Postal 6001, 86051-970, Londrina - PRDepartamento de Engenharia Elétrica Faculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista (UNESP), Av. José Carlos Rossi 1370, 15385-000, Ilha Solteira - SPDepartamento de Engenharia Elétrica Faculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista (UNESP), Av. José Carlos Rossi 1370, 15385-000, Ilha Solteira - SPUniversidade Estadual de Londrina (UEL)Universidade Estadual Paulista (Unesp)Covacic, Márcio RobertoAssunção, Edvaldo [UNESP]Teixeira, Marcelo Carvalho Minhoto [UNESP]Cardim, Rodrigo [UNESP]2014-05-27T11:24:41Z2014-05-27T11:24:41Z2010-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article215-223application/pdfhttp://dx.doi.org/10.1590/S0103-17592010000300001Controle y Automacao, v. 21, n. 3, p. 215-223, 2010.0103-1759http://hdl.handle.net/11449/7166710.1590/S0103-17592010000300001S0103-175920100003000012-s2.0-779548813272-s2.0-77954881327.pdf8755160580142626887996458277884050620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporControle y Automacaoinfo:eu-repo/semantics/openAccess2024-07-04T19:06:03Zoai:repositorio.unesp.br:11449/71667Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:02:57.490760Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz SPR systems synthesis through routh-hurwitz criterion |
title |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz |
spellingShingle |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz Covacic, Márcio Roberto Minimum phase Output feedback Routh-hurwitz criterion SPR systems Feedback systems Linear time invariant plant matrix Minimum-phase systems Routh-Hurwitz Routh-Hurwitz criterion State space Strictly positive real Sufficient conditions Feedback control Stability criteria State feedback Feedback |
title_short |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz |
title_full |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz |
title_fullStr |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz |
title_full_unstemmed |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz |
title_sort |
Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz |
author |
Covacic, Márcio Roberto |
author_facet |
Covacic, Márcio Roberto Assunção, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] Cardim, Rodrigo [UNESP] |
author_role |
author |
author2 |
Assunção, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] Cardim, Rodrigo [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual de Londrina (UEL) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Covacic, Márcio Roberto Assunção, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] Cardim, Rodrigo [UNESP] |
dc.subject.por.fl_str_mv |
Minimum phase Output feedback Routh-hurwitz criterion SPR systems Feedback systems Linear time invariant plant matrix Minimum-phase systems Routh-Hurwitz Routh-Hurwitz criterion State space Strictly positive real Sufficient conditions Feedback control Stability criteria State feedback Feedback |
topic |
Minimum phase Output feedback Routh-hurwitz criterion SPR systems Feedback systems Linear time invariant plant matrix Minimum-phase systems Routh-Hurwitz Routh-Hurwitz criterion State space Strictly positive real Sufficient conditions Feedback control Stability criteria State feedback Feedback |
description |
Given a linear time-invariant plant Gol(s) with one input and q outputs, where q > 1, a method based on the Routh-Hurwitz Stability Criterion is proposed to obtain a constant tandem matrix F ∈ ℝq, such that FGOl(s) is a minimumphase system. From this solution, the system FGol(s) is represented in state space by {A, B, FC} and a constant output feedback matrix K0 ∈ ℝ is obtained such that the feedback system {A - BK0C, B, FC} is Strictly Positive Real (SPR). The proposed procedure offers necessary and sufficient conditions for both problems. Initially, the general case, with a generic q, is analyzed. Following, the particular cases q = 2 and q = 3 are studied. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-05-01 2014-05-27T11:24:41Z 2014-05-27T11:24:41Z |
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/10.1590/S0103-17592010000300001 Controle y Automacao, v. 21, n. 3, p. 215-223, 2010. 0103-1759 http://hdl.handle.net/11449/71667 10.1590/S0103-17592010000300001 S0103-17592010000300001 2-s2.0-77954881327 2-s2.0-77954881327.pdf 8755160580142626 8879964582778840 5062087380571462 0000-0002-1072-3814 |
url |
http://dx.doi.org/10.1590/S0103-17592010000300001 http://hdl.handle.net/11449/71667 |
identifier_str_mv |
Controle y Automacao, v. 21, n. 3, p. 215-223, 2010. 0103-1759 10.1590/S0103-17592010000300001 S0103-17592010000300001 2-s2.0-77954881327 2-s2.0-77954881327.pdf 8755160580142626 8879964582778840 5062087380571462 0000-0002-1072-3814 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
Controle y Automacao |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
215-223 application/pdf |
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_ |
1808128599527522304 |