Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1109/INDUSCON51756.2021.9529532 http://hdl.handle.net/11449/222510 |
Resumo: | This paper proposes a new robust static output feedback control design considering the linear quadratic regulator (LQR) problem based on Linear Matrix Inequalities (LMIs). The output static feedback controller can be used when all the state variables are not available for feedback. This way, the controller design can solve practical problems in which there are no sensors for all state variables of the plant. Furthermore, the presented robust control methodology minimizes an upper bound of a quadratic index (guaranteed cost) related to the output and the control signal of the uncertain closed-loop linear system. Through the designer's knowledge of the system to be controlled, it is possible to obtain optimized performances. In order to find the best guaranteed cost related to the performance of the system, an algorithm of differential evolution for global optimization was used. The controller was implemented in a bench scale earthquake simulator and the results illustrate the effectiveness of the proposed methodology. In the implementation, a signal fault is assumed, and even in the presence of fault occurrence, the oscillations are attenuated by the proposed robust control. |
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Repositório Institucional da UNESP |
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Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertaintiesBench scale earthquake simulatorGuaranteed costLinear matrix inequalityRobust controlStatic output feedbackThis paper proposes a new robust static output feedback control design considering the linear quadratic regulator (LQR) problem based on Linear Matrix Inequalities (LMIs). The output static feedback controller can be used when all the state variables are not available for feedback. This way, the controller design can solve practical problems in which there are no sensors for all state variables of the plant. Furthermore, the presented robust control methodology minimizes an upper bound of a quadratic index (guaranteed cost) related to the output and the control signal of the uncertain closed-loop linear system. Through the designer's knowledge of the system to be controlled, it is possible to obtain optimized performances. In order to find the best guaranteed cost related to the performance of the system, an algorithm of differential evolution for global optimization was used. The controller was implemented in a bench scale earthquake simulator and the results illustrate the effectiveness of the proposed methodology. In the implementation, a signal fault is assumed, and even in the presence of fault occurrence, the oscillations are attenuated by the proposed robust control.Department of Electrical Engineering São Paulo State University - UNESP, SPIFPR - Federal Institute of Education Science and Technology of Paraná Campus of Jacarezinho, PRIFMS - Federal Institute of Education Science and Technology of Mato Grosso do Sul Campus of Campo Grande, MSDepartment of Electrical Engineering São Paulo State University - UNESP, SPUniversidade Estadual Paulista (UNESP)Science and Technology of ParanáScience and Technology of Mato Grosso do Sulde Simone, Tamires S. [UNESP]Ramos, Igor Thiago Minari [UNESP]Bocca, Lucas Favi [UNESP]Alves, Uiliam Nelson L.T.Bizarro, Douglas BuytendorpTeixeira, Marcelo C.M. [UNESP]2022-04-28T19:45:11Z2022-04-28T19:45:11Z2021-08-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1154-1160http://dx.doi.org/10.1109/INDUSCON51756.2021.95295322021 14th IEEE International Conference on Industry Applications, INDUSCON 2021 - Proceedings, p. 1154-1160.http://hdl.handle.net/11449/22251010.1109/INDUSCON51756.2021.95295322-s2.0-85115880541Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2021 14th IEEE International Conference on Industry Applications, INDUSCON 2021 - Proceedingsinfo:eu-repo/semantics/openAccess2022-04-28T19:45:11Zoai:repositorio.unesp.br:11449/222510Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:45:11Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
title |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
spellingShingle |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties de Simone, Tamires S. [UNESP] Bench scale earthquake simulator Guaranteed cost Linear matrix inequality Robust control Static output feedback |
title_short |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
title_full |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
title_fullStr |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
title_full_unstemmed |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
title_sort |
Output feedback controller design for quadratic cost minimization for linear systems with polytopic uncertainties |
author |
de Simone, Tamires S. [UNESP] |
author_facet |
de Simone, Tamires S. [UNESP] Ramos, Igor Thiago Minari [UNESP] Bocca, Lucas Favi [UNESP] Alves, Uiliam Nelson L.T. Bizarro, Douglas Buytendorp Teixeira, Marcelo C.M. [UNESP] |
author_role |
author |
author2 |
Ramos, Igor Thiago Minari [UNESP] Bocca, Lucas Favi [UNESP] Alves, Uiliam Nelson L.T. Bizarro, Douglas Buytendorp Teixeira, Marcelo C.M. [UNESP] |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Science and Technology of Paraná Science and Technology of Mato Grosso do Sul |
dc.contributor.author.fl_str_mv |
de Simone, Tamires S. [UNESP] Ramos, Igor Thiago Minari [UNESP] Bocca, Lucas Favi [UNESP] Alves, Uiliam Nelson L.T. Bizarro, Douglas Buytendorp Teixeira, Marcelo C.M. [UNESP] |
dc.subject.por.fl_str_mv |
Bench scale earthquake simulator Guaranteed cost Linear matrix inequality Robust control Static output feedback |
topic |
Bench scale earthquake simulator Guaranteed cost Linear matrix inequality Robust control Static output feedback |
description |
This paper proposes a new robust static output feedback control design considering the linear quadratic regulator (LQR) problem based on Linear Matrix Inequalities (LMIs). The output static feedback controller can be used when all the state variables are not available for feedback. This way, the controller design can solve practical problems in which there are no sensors for all state variables of the plant. Furthermore, the presented robust control methodology minimizes an upper bound of a quadratic index (guaranteed cost) related to the output and the control signal of the uncertain closed-loop linear system. Through the designer's knowledge of the system to be controlled, it is possible to obtain optimized performances. In order to find the best guaranteed cost related to the performance of the system, an algorithm of differential evolution for global optimization was used. The controller was implemented in a bench scale earthquake simulator and the results illustrate the effectiveness of the proposed methodology. In the implementation, a signal fault is assumed, and even in the presence of fault occurrence, the oscillations are attenuated by the proposed robust control. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-08-15 2022-04-28T19:45:11Z 2022-04-28T19:45:11Z |
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/INDUSCON51756.2021.9529532 2021 14th IEEE International Conference on Industry Applications, INDUSCON 2021 - Proceedings, p. 1154-1160. http://hdl.handle.net/11449/222510 10.1109/INDUSCON51756.2021.9529532 2-s2.0-85115880541 |
url |
http://dx.doi.org/10.1109/INDUSCON51756.2021.9529532 http://hdl.handle.net/11449/222510 |
identifier_str_mv |
2021 14th IEEE International Conference on Industry Applications, INDUSCON 2021 - Proceedings, p. 1154-1160. 10.1109/INDUSCON51756.2021.9529532 2-s2.0-85115880541 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2021 14th IEEE International Conference on Industry Applications, INDUSCON 2021 - Proceedings |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1154-1160 |
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_ |
1799964717351960576 |