Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control

Detalhes bibliográficos
Autor(a) principal: Vinícius Caseiro de Oliveira
Data de Publicação: 2021
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Repositório Institucional da UFMG
Texto Completo: http://hdl.handle.net/1843/36503
https://orcid.org/0000-0002-8893-1808
Resumo: This work presents new sufficient conditions for stabilization and controller synthesis to sampled-data LPV systems. The adopted control strategy considers gain-scheduling state-feedback controllers subject to induced time-varying input delay. The stabilization and L2-gain performance are investigated in the sense of Lyapunov by three different approaches. After the proposition of a Lyapunov function and with the application of Wirtinger's inequality, the derived conditions are rewritten in terms of linear matrix inequalities. Aiming at the enlargement of the aperiodic sampling time and at the minimization of the L2-gain, the effectiveness of the developed methodologies is assessed through numerical simulations of LPV systems available in the control literature.
id UFMG_cacd6544807a67bd92d98bb6dbd3845b
oai_identifier_str oai:repositorio.ufmg.br:1843/36503
network_acronym_str UFMG
network_name_str Repositório Institucional da UFMG
repository_id_str
spelling Luciano Antonio Frezzatto Santoshttp://lattes.cnpq.br/3004375048406723João Manoel Gomes da Silva JuniorFernando de Oliveira Souzahttp://lattes.cnpq.br/0877347888230919Vinícius Caseiro de Oliveira2021-06-16T19:05:24Z2021-06-16T19:05:24Z2021-05-05http://hdl.handle.net/1843/36503https://orcid.org/0000-0002-8893-1808This work presents new sufficient conditions for stabilization and controller synthesis to sampled-data LPV systems. The adopted control strategy considers gain-scheduling state-feedback controllers subject to induced time-varying input delay. The stabilization and L2-gain performance are investigated in the sense of Lyapunov by three different approaches. After the proposition of a Lyapunov function and with the application of Wirtinger's inequality, the derived conditions are rewritten in terms of linear matrix inequalities. Aiming at the enlargement of the aperiodic sampling time and at the minimization of the L2-gain, the effectiveness of the developed methodologies is assessed through numerical simulations of LPV systems available in the control literature.Este trabalho apresenta novas condições suficientes para a estabilização e síntese de controladores para sistemas LPV amostrados. A estratégia de controle adotada considera controladores por realimentação de estados com escalonamento de ganho, sujeitos a um atraso induzido de tempo variante. A estabilização e o desempenho L2 são investigados no sentido de Lyapunov, por três abordagens distintas. A partir da definição de uma funcão de Lyapunov e com o emprego da desigualdade de Wirtinger, as condições obtidas são reescritas em termos de desigualdades matriciais lineares. Visando à maximização do intervalo de amostragem aperiódico e à minimização do ganho L2, a eficácia das metodologias desenvolvidas é avaliada com simulações numéricas de sistemas LPV disponíveis na literatura.engUniversidade Federal de Minas GeraisPrograma de Pós-Graduação em Engenharia ElétricaUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICAhttp://creativecommons.org/licenses/by-nd/3.0/pt/info:eu-repo/semantics/openAccessEngenharia elétricaControle robustoLiapunov, Funções deLPV systemsSampled-data controlGain schedulingL2-gain performanceLyapunov theoryStabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled controlTécnicas para estabilização e desempenho L2 aplicadas a sistemas LPV amostrados com escalonamento de ganhoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGORIGINALViníciusCaseirodeOliveira_Dissertação.pdfViníciusCaseirodeOliveira_Dissertação.pdfapplication/pdf1356236https://repositorio.ufmg.br/bitstream/1843/36503/1/Vin%c3%adciusCaseirodeOliveira_Disserta%c3%a7%c3%a3o.pdff44fffa4ca01e999dca88ce64c22cb3aMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.ufmg.br/bitstream/1843/36503/2/license_rdf00e5e6a57d5512d202d12cb48704dfd6MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82119https://repositorio.ufmg.br/bitstream/1843/36503/3/license.txt34badce4be7e31e3adb4575ae96af679MD531843/365032021-06-16 16:05:24.858oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2021-06-16T19:05:24Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.pt_BR.fl_str_mv Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
dc.title.alternative.pt_BR.fl_str_mv Técnicas para estabilização e desempenho L2 aplicadas a sistemas LPV amostrados com escalonamento de ganho
title Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
spellingShingle Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
Vinícius Caseiro de Oliveira
LPV systems
Sampled-data control
Gain scheduling
L2-gain performance
Lyapunov theory
Engenharia elétrica
Controle robusto
Liapunov, Funções de
title_short Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
title_full Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
title_fullStr Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
title_full_unstemmed Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
title_sort Stabilization and L2-gain performance techniques applied to LPV sampled-data systems with gain-scheduled control
author Vinícius Caseiro de Oliveira
author_facet Vinícius Caseiro de Oliveira
author_role author
dc.contributor.advisor1.fl_str_mv Luciano Antonio Frezzatto Santos
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/3004375048406723
dc.contributor.referee1.fl_str_mv João Manoel Gomes da Silva Junior
dc.contributor.referee2.fl_str_mv Fernando de Oliveira Souza
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0877347888230919
dc.contributor.author.fl_str_mv Vinícius Caseiro de Oliveira
contributor_str_mv Luciano Antonio Frezzatto Santos
João Manoel Gomes da Silva Junior
Fernando de Oliveira Souza
dc.subject.por.fl_str_mv LPV systems
Sampled-data control
Gain scheduling
L2-gain performance
Lyapunov theory
topic LPV systems
Sampled-data control
Gain scheduling
L2-gain performance
Lyapunov theory
Engenharia elétrica
Controle robusto
Liapunov, Funções de
dc.subject.other.pt_BR.fl_str_mv Engenharia elétrica
Controle robusto
Liapunov, Funções de
description This work presents new sufficient conditions for stabilization and controller synthesis to sampled-data LPV systems. The adopted control strategy considers gain-scheduling state-feedback controllers subject to induced time-varying input delay. The stabilization and L2-gain performance are investigated in the sense of Lyapunov by three different approaches. After the proposition of a Lyapunov function and with the application of Wirtinger's inequality, the derived conditions are rewritten in terms of linear matrix inequalities. Aiming at the enlargement of the aperiodic sampling time and at the minimization of the L2-gain, the effectiveness of the developed methodologies is assessed through numerical simulations of LPV systems available in the control literature.
publishDate 2021
dc.date.accessioned.fl_str_mv 2021-06-16T19:05:24Z
dc.date.available.fl_str_mv 2021-06-16T19:05:24Z
dc.date.issued.fl_str_mv 2021-05-05
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1843/36503
dc.identifier.orcid.pt_BR.fl_str_mv https://orcid.org/0000-0002-8893-1808
url http://hdl.handle.net/1843/36503
https://orcid.org/0000-0002-8893-1808
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nd/3.0/pt/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nd/3.0/pt/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Engenharia Elétrica
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
bitstream.url.fl_str_mv https://repositorio.ufmg.br/bitstream/1843/36503/1/Vin%c3%adciusCaseirodeOliveira_Disserta%c3%a7%c3%a3o.pdf
https://repositorio.ufmg.br/bitstream/1843/36503/2/license_rdf
https://repositorio.ufmg.br/bitstream/1843/36503/3/license.txt
bitstream.checksum.fl_str_mv f44fffa4ca01e999dca88ce64c22cb3a
00e5e6a57d5512d202d12cb48704dfd6
34badce4be7e31e3adb4575ae96af679
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)
repository.mail.fl_str_mv
_version_ 1797971142467649536

Registros relacionados