Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz

Detalhes bibliográficos
Autor(a) principal: Covacic, Márcio Roberto
Data de Publicação: 2010
Outros Autores: Assunção, Edvaldo [UNESP], Teixeira, Marcelo Carvalho Minhoto [UNESP], Cardim, Rodrigo [UNESP]
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.
id UNSP_74d0945490c05bef566a1946664bcd96
oai_identifier_str oai:repositorio.unesp.br:11449/71667
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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/openAccess2023-10-26T06:10:27Zoai:repositorio.unesp.br:11449/71667Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-26T06:10:27Repositório 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_ 1799964709390123008

Registros relacionados