Discretization and event triggered digital output feedback control of LPV systems.
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , |
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. |
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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 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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reponame:Repositório Institucional da UFOP instname:Universidade Federal de Ouro Preto (UFOP) instacron:UFOP |
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UFOP |
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bitstream.url.fl_str_mv |
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Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP) |
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repositorio@ufop.edu.br |
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