On LMI-based algorithm for strictly positive real systems with static output feedback

Detalhes bibliográficos
Autor(a) principal: Teixeira, Marcelo C. M. [UNESP]
Data de Publicação: 2022
Outros Autores: Covacic, Márcio R., Gaino, Ruberlei, Assunção, Edvaldo [UNESP], Cardim, Rodrigo [UNESP], Lazarini, Adalberto Z. N. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/VSS57184.2022.9902109
http://hdl.handle.net/11449/247773
Resumo: This paper presents a new theoretical analyses and a condition regarding to an algorithm, based on Linear Matrix Inequalities (LMIs), for finding a constant output feedback matrix Ko and a constant output tandem matrix F such that the controlled system {A-BKoC,B, FC} is Strictly Positive Real (SPR). The number of output variables of the plant {A,B,C} is supposed to be greater than or equal to the number of its input variables. The main result offers a more general necessary condition to specify the matrix F that can offer a solution for this problem, that works when a known condition holds and also in some cases where this known solution does not hold. A numerical example illustrates the effectiveness of this procedure and its application in the design of output variable structure controllers.
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spelling On LMI-based algorithm for strictly positive real systems with static output feedbackThis paper presents a new theoretical analyses and a condition regarding to an algorithm, based on Linear Matrix Inequalities (LMIs), for finding a constant output feedback matrix Ko and a constant output tandem matrix F such that the controlled system {A-BKoC,B, FC} is Strictly Positive Real (SPR). The number of output variables of the plant {A,B,C} is supposed to be greater than or equal to the number of its input variables. The main result offers a more general necessary condition to specify the matrix F that can offer a solution for this problem, that works when a known condition holds and also in some cases where this known solution does not hold. A numerical example illustrates the effectiveness of this procedure and its application in the design of output variable structure controllers.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)São Paulo State University (UNESP) Faculty of Engineering of Ilha Solteira Department of Electrical EngineeringState University of Londrina (EEL) Department of Electrical EngineeringSão Paulo State University (UNESP) Faculty of Engineering of Ilha Solteira Department of Electrical EngineeringFAPESP: 2011/17610-09Universidade Estadual Paulista (UNESP)Universidade Estadual de Londrina (UEL)Teixeira, Marcelo C. M. [UNESP]Covacic, Márcio R.Gaino, RuberleiAssunção, Edvaldo [UNESP]Cardim, Rodrigo [UNESP]Lazarini, Adalberto Z. N. [UNESP]2023-07-29T13:25:25Z2023-07-29T13:25:25Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject15-21http://dx.doi.org/10.1109/VSS57184.2022.9902109Proceedings of IEEE International Workshop on Variable Structure Systems, v. 2022-September, p. 15-21.2165-48242165-4816http://hdl.handle.net/11449/24777310.1109/VSS57184.2022.99021092-s2.0-85140288308Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of IEEE International Workshop on Variable Structure Systemsinfo:eu-repo/semantics/openAccess2023-07-29T13:25:25Zoai:repositorio.unesp.br:11449/247773Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T13:25:25Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On LMI-based algorithm for strictly positive real systems with static output feedback
title On LMI-based algorithm for strictly positive real systems with static output feedback
spellingShingle On LMI-based algorithm for strictly positive real systems with static output feedback
Teixeira, Marcelo C. M. [UNESP]
title_short On LMI-based algorithm for strictly positive real systems with static output feedback
title_full On LMI-based algorithm for strictly positive real systems with static output feedback
title_fullStr On LMI-based algorithm for strictly positive real systems with static output feedback
title_full_unstemmed On LMI-based algorithm for strictly positive real systems with static output feedback
title_sort On LMI-based algorithm for strictly positive real systems with static output feedback
author Teixeira, Marcelo C. M. [UNESP]
author_facet Teixeira, Marcelo C. M. [UNESP]
Covacic, Márcio R.
Gaino, Ruberlei
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Lazarini, Adalberto Z. N. [UNESP]
author_role author
author2 Covacic, Márcio R.
Gaino, Ruberlei
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Lazarini, Adalberto Z. N. [UNESP]
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Estadual de Londrina (UEL)
dc.contributor.author.fl_str_mv Teixeira, Marcelo C. M. [UNESP]
Covacic, Márcio R.
Gaino, Ruberlei
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Lazarini, Adalberto Z. N. [UNESP]
description This paper presents a new theoretical analyses and a condition regarding to an algorithm, based on Linear Matrix Inequalities (LMIs), for finding a constant output feedback matrix Ko and a constant output tandem matrix F such that the controlled system {A-BKoC,B, FC} is Strictly Positive Real (SPR). The number of output variables of the plant {A,B,C} is supposed to be greater than or equal to the number of its input variables. The main result offers a more general necessary condition to specify the matrix F that can offer a solution for this problem, that works when a known condition holds and also in some cases where this known solution does not hold. A numerical example illustrates the effectiveness of this procedure and its application in the design of output variable structure controllers.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-07-29T13:25:25Z
2023-07-29T13:25:25Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1109/VSS57184.2022.9902109
Proceedings of IEEE International Workshop on Variable Structure Systems, v. 2022-September, p. 15-21.
2165-4824
2165-4816
http://hdl.handle.net/11449/247773
10.1109/VSS57184.2022.9902109
2-s2.0-85140288308
url http://dx.doi.org/10.1109/VSS57184.2022.9902109
http://hdl.handle.net/11449/247773
identifier_str_mv Proceedings of IEEE International Workshop on Variable Structure Systems, v. 2022-September, p. 15-21.
2165-4824
2165-4816
10.1109/VSS57184.2022.9902109
2-s2.0-85140288308
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of IEEE International Workshop on Variable Structure Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 15-21
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)
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