Discretization and event triggered digital output feedback control of LPV systems.

Detalhes bibliográficos
Autor(a) principal: Braga, Marcio Feliciano
Data de Publicação: 2015
Outros Autores: Morais, Cecilia de Freitas, Tognetti, Eduardo Stockler, Oliveira, Ricardo Coração de Leão Fontoura de, Peres, Pedro Luis Dias
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFOP
Texto Completo: http://www.repositorio.ufop.br/handle/123456789/7055
https://doi.org/10.1016/j.sysconle.2015.10.002
Resumo: This paper investigates the problem of discretization and digital output feedback control design for continuous-time linear parameter-varying (LPV) systems subject to a time-varying networked-induced delay. The proposed discretization procedure converts a continuous-time LPV system into an equivalent discrete-time LPV system based on an extension of the Taylor series expansion and using an event-based sampling. The scheduling parameters are continuously measured and modeled as piecewise constant. A new transmission of the measured output to the controller is triggered by significant changes in the parameters, yielding time-varying transmission intervals. The obtained discretized model has matrices with polynomial dependence on the time-varying parameters and an additive norm-bounded term representing the discretization residual error. A two step strategy based on linear matrix inequality conditions is then proposed to synthesize a digital static scheduled output feedback control law that stabilizes both the discretized and the LPV model. The conditions can also be used to provide robust (i.e., independent of the scheduling parameter) static output feedback controllers. The viability of the proposed design method is illustrated through numerical examples.
id UFOP_775e15ecfdfb25877d9b437119fc8bef
oai_identifier_str oai:localhost:123456789/7055
network_acronym_str UFOP
network_name_str Repositório Institucional da UFOP
repository_id_str 3233
spelling Braga, Marcio FelicianoMorais, Cecilia de FreitasTognetti, Eduardo StocklerOliveira, Ricardo Coração de Leão Fontoura dePeres, Pedro Luis Dias2016-10-14T15:21:48Z2016-10-14T15:21:48Z2015BRAGA, M. F. et al. Discretization and event triggered digital output feedback control of LPV systems. Systems & Control Letters, v. 86, p. 54-65, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0167691115001929>. Acesso em: 28 set. 2016.0167-6911http://www.repositorio.ufop.br/handle/123456789/7055https://doi.org/10.1016/j.sysconle.2015.10.002This paper investigates the problem of discretization and digital output feedback control design for continuous-time linear parameter-varying (LPV) systems subject to a time-varying networked-induced delay. The proposed discretization procedure converts a continuous-time LPV system into an equivalent discrete-time LPV system based on an extension of the Taylor series expansion and using an event-based sampling. The scheduling parameters are continuously measured and modeled as piecewise constant. A new transmission of the measured output to the controller is triggered by significant changes in the parameters, yielding time-varying transmission intervals. The obtained discretized model has matrices with polynomial dependence on the time-varying parameters and an additive norm-bounded term representing the discretization residual error. A two step strategy based on linear matrix inequality conditions is then proposed to synthesize a digital static scheduled output feedback control law that stabilizes both the discretized and the LPV model. The conditions can also be used to provide robust (i.e., independent of the scheduling parameter) static output feedback controllers. The viability of the proposed design method is illustrated through numerical examples.O periódico Systems & Control Letters concede permissão para depósito deste artigo no Repositório Institucional da UFOP. Número da licença: 3965881207134.info:eu-repo/semantics/openAccessDiscretized linear systemsNetworked control systemsTaylor series expansionOutput feedback controlLinear matrix inequalitiesDiscretization and event triggered digital output feedback control of LPV systems.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-8924http://www.repositorio.ufop.br/bitstream/123456789/7055/2/license.txt62604f8d955274beb56c80ce1ee5dcaeMD52ORIGINALARTIGO_DiscretizationEventTriggered.pdfARTIGO_DiscretizationEventTriggered.pdfapplication/pdf545665http://www.repositorio.ufop.br/bitstream/123456789/7055/1/ARTIGO_DiscretizationEventTriggered.pdf3b4a5e5959b798975c5d490c8735b3daMD51123456789/70552019-10-14 14:15:52.459oai:localhost: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ório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-10-14T18:15:52Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false
dc.title.pt_BR.fl_str_mv Discretization and event triggered digital output feedback control of LPV systems.
title Discretization and event triggered digital output feedback control of LPV systems.
spellingShingle Discretization and event triggered digital output feedback control of LPV systems.
Braga, Marcio Feliciano
Discretized linear systems
Networked control systems
Taylor series expansion
Output feedback control
Linear matrix inequalities
title_short Discretization and event triggered digital output feedback control of LPV systems.
title_full Discretization and event triggered digital output feedback control of LPV systems.
title_fullStr Discretization and event triggered digital output feedback control of LPV systems.
title_full_unstemmed Discretization and event triggered digital output feedback control of LPV systems.
title_sort Discretization and event triggered digital output feedback control of LPV systems.
author Braga, Marcio Feliciano
author_facet Braga, Marcio Feliciano
Morais, Cecilia de Freitas
Tognetti, Eduardo Stockler
Oliveira, Ricardo Coração de Leão Fontoura de
Peres, Pedro Luis Dias
author_role author
author2 Morais, Cecilia de Freitas
Tognetti, Eduardo Stockler
Oliveira, Ricardo Coração de Leão Fontoura de
Peres, Pedro Luis Dias
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Braga, Marcio Feliciano
Morais, Cecilia de Freitas
Tognetti, Eduardo Stockler
Oliveira, Ricardo Coração de Leão Fontoura de
Peres, Pedro Luis Dias
dc.subject.por.fl_str_mv Discretized linear systems
Networked control systems
Taylor series expansion
Output feedback control
Linear matrix inequalities
topic Discretized linear systems
Networked control systems
Taylor series expansion
Output feedback control
Linear matrix inequalities
description This paper investigates the problem of discretization and digital output feedback control design for continuous-time linear parameter-varying (LPV) systems subject to a time-varying networked-induced delay. The proposed discretization procedure converts a continuous-time LPV system into an equivalent discrete-time LPV system based on an extension of the Taylor series expansion and using an event-based sampling. The scheduling parameters are continuously measured and modeled as piecewise constant. A new transmission of the measured output to the controller is triggered by significant changes in the parameters, yielding time-varying transmission intervals. The obtained discretized model has matrices with polynomial dependence on the time-varying parameters and an additive norm-bounded term representing the discretization residual error. A two step strategy based on linear matrix inequality conditions is then proposed to synthesize a digital static scheduled output feedback control law that stabilizes both the discretized and the LPV model. The conditions can also be used to provide robust (i.e., independent of the scheduling parameter) static output feedback controllers. The viability of the proposed design method is illustrated through numerical examples.
publishDate 2015
dc.date.issued.fl_str_mv 2015
dc.date.accessioned.fl_str_mv 2016-10-14T15:21:48Z
dc.date.available.fl_str_mv 2016-10-14T15:21:48Z
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.citation.fl_str_mv BRAGA, M. F. et al. Discretization and event triggered digital output feedback control of LPV systems. Systems & Control Letters, v. 86, p. 54-65, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0167691115001929>. Acesso em: 28 set. 2016.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufop.br/handle/123456789/7055
dc.identifier.issn.none.fl_str_mv 0167-6911
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.sysconle.2015.10.002
identifier_str_mv BRAGA, M. F. et al. Discretization and event triggered digital output feedback control of LPV systems. Systems & Control Letters, v. 86, p. 54-65, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0167691115001929>. Acesso em: 28 set. 2016.
0167-6911
url http://www.repositorio.ufop.br/handle/123456789/7055
https://doi.org/10.1016/j.sysconle.2015.10.002
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFOP
instname:Universidade Federal de Ouro Preto (UFOP)
instacron:UFOP
instname_str Universidade Federal de Ouro Preto (UFOP)
instacron_str UFOP
institution UFOP
reponame_str Repositório Institucional da UFOP
collection Repositório Institucional da UFOP
bitstream.url.fl_str_mv http://www.repositorio.ufop.br/bitstream/123456789/7055/2/license.txt
http://www.repositorio.ufop.br/bitstream/123456789/7055/1/ARTIGO_DiscretizationEventTriggered.pdf
bitstream.checksum.fl_str_mv 62604f8d955274beb56c80ce1ee5dcae
3b4a5e5959b798975c5d490c8735b3da
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)
repository.mail.fl_str_mv repositorio@ufop.edu.br
_version_ 1801685754494058496