On Complementary Root Locus of Biproper Transfer Functions
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1155/2009/727908 http://hdl.handle.net/11449/10522 |
Resumo: | This paper addresses the root locus (locus of positive gain) and the complementary root locus (locus of negative gain) of biproper transfer functions (transfer functions with the same number of poles and zeros). It is shown that the root locus and complementary root locus of a biproper transfer function can be directly obtained from the plot of a suitable strictly proper transfer function (transfer function with more poles than zeros). There exists a lack of sources on the complementary root locus plots. The proposed procedure avoids the problems pointed out by Eydgahi and Ghavamzadeh, is a new method to plot complementary root locus of biproper transfer functions, and offers a better comprehension on this subject. It also extends to biproper open-loop transfer functions, previous results about the exact plot of the complementary root locus using only the well-known root locus rules. Copyright (C) 2009 Marcelo C. M. Teixeira et al. |
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Repositório Institucional da UNESP |
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On Complementary Root Locus of Biproper Transfer FunctionsThis paper addresses the root locus (locus of positive gain) and the complementary root locus (locus of negative gain) of biproper transfer functions (transfer functions with the same number of poles and zeros). It is shown that the root locus and complementary root locus of a biproper transfer function can be directly obtained from the plot of a suitable strictly proper transfer function (transfer function with more poles than zeros). There exists a lack of sources on the complementary root locus plots. The proposed procedure avoids the problems pointed out by Eydgahi and Ghavamzadeh, is a new method to plot complementary root locus of biproper transfer functions, and offers a better comprehension on this subject. It also extends to biproper open-loop transfer functions, previous results about the exact plot of the complementary root locus using only the well-known root locus rules. Copyright (C) 2009 Marcelo C. M. Teixeira et al.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNESP São Paulo State Univ, Fac Engenharia Ilha Solteira, Dept Elect Engn, BR-15385000 Ilha Solteira, SP, BrazilUNESP São Paulo State Univ, Fac Engenharia Ilha Solteira, Dept Math, BR-15385000 Ilha Solteira, SP, BrazilUNESP São Paulo State Univ, Fac Engenharia Ilha Solteira, Dept Elect Engn, BR-15385000 Ilha Solteira, SP, BrazilUNESP São Paulo State Univ, Fac Engenharia Ilha Solteira, Dept Math, BR-15385000 Ilha Solteira, SP, BrazilHindawi Publishing CorporationUniversidade Estadual Paulista (Unesp)Teixeira, Marcelo C. M. [UNESP]Assuncao, Edvaldo [UNESP]Cardim, Rodrigo [UNESP]Silva, Neusa A. P. [UNESP]Machado, Erica R. M. D. [UNESP]2014-05-20T13:30:54Z2014-05-20T13:30:54Z2009-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article14application/pdfhttp://dx.doi.org/10.1155/2009/727908Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 14, 2009.1024-123Xhttp://hdl.handle.net/11449/1052210.1155/2009/727908WOS:000271740900001WOS000271740900001.pdf875516058014262650620873805714620000-0002-1072-3814Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.145info:eu-repo/semantics/openAccess2024-07-10T15:41:54Zoai:repositorio.unesp.br:11449/10522Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:08:11.148659Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On Complementary Root Locus of Biproper Transfer Functions |
title |
On Complementary Root Locus of Biproper Transfer Functions |
spellingShingle |
On Complementary Root Locus of Biproper Transfer Functions Teixeira, Marcelo C. M. [UNESP] |
title_short |
On Complementary Root Locus of Biproper Transfer Functions |
title_full |
On Complementary Root Locus of Biproper Transfer Functions |
title_fullStr |
On Complementary Root Locus of Biproper Transfer Functions |
title_full_unstemmed |
On Complementary Root Locus of Biproper Transfer Functions |
title_sort |
On Complementary Root Locus of Biproper Transfer Functions |
author |
Teixeira, Marcelo C. M. [UNESP] |
author_facet |
Teixeira, Marcelo C. M. [UNESP] Assuncao, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Silva, Neusa A. P. [UNESP] Machado, Erica R. M. D. [UNESP] |
author_role |
author |
author2 |
Assuncao, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Silva, Neusa A. P. [UNESP] Machado, Erica R. M. D. [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Teixeira, Marcelo C. M. [UNESP] Assuncao, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Silva, Neusa A. P. [UNESP] Machado, Erica R. M. D. [UNESP] |
description |
This paper addresses the root locus (locus of positive gain) and the complementary root locus (locus of negative gain) of biproper transfer functions (transfer functions with the same number of poles and zeros). It is shown that the root locus and complementary root locus of a biproper transfer function can be directly obtained from the plot of a suitable strictly proper transfer function (transfer function with more poles than zeros). There exists a lack of sources on the complementary root locus plots. The proposed procedure avoids the problems pointed out by Eydgahi and Ghavamzadeh, is a new method to plot complementary root locus of biproper transfer functions, and offers a better comprehension on this subject. It also extends to biproper open-loop transfer functions, previous results about the exact plot of the complementary root locus using only the well-known root locus rules. Copyright (C) 2009 Marcelo C. M. Teixeira et al. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-01-01 2014-05-20T13:30:54Z 2014-05-20T13:30:54Z |
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/10.1155/2009/727908 Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 14, 2009. 1024-123X http://hdl.handle.net/11449/10522 10.1155/2009/727908 WOS:000271740900001 WOS000271740900001.pdf 8755160580142626 5062087380571462 0000-0002-1072-3814 |
url |
http://dx.doi.org/10.1155/2009/727908 http://hdl.handle.net/11449/10522 |
identifier_str_mv |
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 14, 2009. 1024-123X 10.1155/2009/727908 WOS:000271740900001 WOS000271740900001.pdf 8755160580142626 5062087380571462 0000-0002-1072-3814 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematical Problems in Engineering 1.145 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
14 application/pdf |
dc.publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1808129588436402176 |