H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems

Detalhes bibliográficos
Autor(a) principal: da Ponte Caun, Rodrigo
Data de Publicação: 2021
Outros Autores: Assunção, Edvaldo [UNESP], Minhoto Teixeira, Marcelo Carvalho [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/00207721.2020.1836283
http://hdl.handle.net/11449/208078
Resumo: The classical theory of linear matrix inequality (LMI)-based linear quadratic regulator (LQR) control that is well established in literature does not provide, in the controller project phase, the occurrence of exogenous inputs acting on the plants. Therefore, this study proposes sufficient conditions for the robust synthesis of a mixed (Formula presented.) / (Formula presented.) control of the LQR problem. A new mixed polytopic and norm-bounded uncertainties representation for linear time-invariant uncertain systems allows to express different uncertainty models in one single LMI by using the S-procedure. As an additional objective, we propose the study of the robustness of controllers concerned with the sensibility of their coefficients, in such a way that the variations in controller gain matrix are described by norm-bounded uncertainties. A practical implementation in Quanser (Formula presented.) active suspension evaluates the control projects through the rejection level of vibrations caused by track irregularities.
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spelling H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systemsActive suspensioncontrollers robustnessLMI-based LQRmixed / controlThe classical theory of linear matrix inequality (LMI)-based linear quadratic regulator (LQR) control that is well established in literature does not provide, in the controller project phase, the occurrence of exogenous inputs acting on the plants. Therefore, this study proposes sufficient conditions for the robust synthesis of a mixed (Formula presented.) / (Formula presented.) control of the LQR problem. A new mixed polytopic and norm-bounded uncertainties representation for linear time-invariant uncertain systems allows to express different uncertainty models in one single LMI by using the S-procedure. As an additional objective, we propose the study of the robustness of controllers concerned with the sensibility of their coefficients, in such a way that the variations in controller gain matrix are described by norm-bounded uncertainties. A practical implementation in Quanser (Formula presented.) active suspension evaluates the control projects through the rejection level of vibrations caused by track irregularities.Electrical Engineering Department Federal University of Technology - Parana (UTFPR)School of Engineering São Paulo State University (UNESP)School of Engineering São Paulo State University (UNESP)Federal University of Technology - Parana (UTFPR)Universidade Estadual Paulista (Unesp)da Ponte Caun, RodrigoAssunção, Edvaldo [UNESP]Minhoto Teixeira, Marcelo Carvalho [UNESP]2021-06-25T11:05:59Z2021-06-25T11:05:59Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article612-634http://dx.doi.org/10.1080/00207721.2020.1836283International Journal of Systems Science, v. 52, n. 3, p. 612-634, 2021.1464-53190020-7721http://hdl.handle.net/11449/20807810.1080/00207721.2020.18362832-s2.0-85094130791Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Systems Scienceinfo:eu-repo/semantics/openAccess2021-10-22T12:11:13Zoai:repositorio.unesp.br:11449/208078Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T12:11:13Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
title H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
spellingShingle H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
da Ponte Caun, Rodrigo
Active suspension
controllers robustness
LMI-based LQR
mixed / control
title_short H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
title_full H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
title_fullStr H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
title_full_unstemmed H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
title_sort H 2/H ∞ formulation of LQR controls based on LMI for continuous-time uncertain systems
author da Ponte Caun, Rodrigo
author_facet da Ponte Caun, Rodrigo
Assunção, Edvaldo [UNESP]
Minhoto Teixeira, Marcelo Carvalho [UNESP]
author_role author
author2 Assunção, Edvaldo [UNESP]
Minhoto Teixeira, Marcelo Carvalho [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Federal University of Technology - Parana (UTFPR)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv da Ponte Caun, Rodrigo
Assunção, Edvaldo [UNESP]
Minhoto Teixeira, Marcelo Carvalho [UNESP]
dc.subject.por.fl_str_mv Active suspension
controllers robustness
LMI-based LQR
mixed / control
topic Active suspension
controllers robustness
LMI-based LQR
mixed / control
description The classical theory of linear matrix inequality (LMI)-based linear quadratic regulator (LQR) control that is well established in literature does not provide, in the controller project phase, the occurrence of exogenous inputs acting on the plants. Therefore, this study proposes sufficient conditions for the robust synthesis of a mixed (Formula presented.) / (Formula presented.) control of the LQR problem. A new mixed polytopic and norm-bounded uncertainties representation for linear time-invariant uncertain systems allows to express different uncertainty models in one single LMI by using the S-procedure. As an additional objective, we propose the study of the robustness of controllers concerned with the sensibility of their coefficients, in such a way that the variations in controller gain matrix are described by norm-bounded uncertainties. A practical implementation in Quanser (Formula presented.) active suspension evaluates the control projects through the rejection level of vibrations caused by track irregularities.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-25T11:05:59Z
2021-06-25T11:05:59Z
2021-01-01
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/10.1080/00207721.2020.1836283
International Journal of Systems Science, v. 52, n. 3, p. 612-634, 2021.
1464-5319
0020-7721
http://hdl.handle.net/11449/208078
10.1080/00207721.2020.1836283
2-s2.0-85094130791
url http://dx.doi.org/10.1080/00207721.2020.1836283
http://hdl.handle.net/11449/208078
identifier_str_mv International Journal of Systems Science, v. 52, n. 3, p. 612-634, 2021.
1464-5319
0020-7721
10.1080/00207721.2020.1836283
2-s2.0-85094130791
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Systems Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 612-634
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_ 1792962196074921984

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