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

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 equivalen...

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Detalles Bibliográficos
Autores: Braga, Marcio Feliciano, Morais, Cecilia de Freitas, Tognetti, Eduardo Stockler, Oliveira, Ricardo Coração de Leão Fontoura de, Peres, Pedro Luis Dias
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Institución:Universidade Federal de Ouro Preto (UFOP)
Repositorio:Repositório Institucional da UFOP
Idioma:inglés
OAI Identifier:oai:repositorio.ufop.br:123456789/7055
Acceso en línea:http://www.repositorio.ufop.br/handle/123456789/7055
https://doi.org/10.1016/j.sysconle.2015.10.002
Access Level:acceso abierto
Palabra clave:Discretized linear systems
Networked control systems
Taylor series expansion
Output feedback control
Linear matrix inequalities
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spelling Discretization and event triggered digital output feedback control of LPV systems.Discretized linear systemsNetworked control systemsTaylor series expansionOutput feedback controlLinear matrix inequalitiesThis 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.2016-10-14T15:21:48Z2016-10-14T15:21:48Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBRAGA, 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.2015.10.002ark:/61566/0013000008bt5O periódico Systems & Control Letters concede permissão para depósito deste artigo no Repositório Institucional da UFOP. Número da licença: 3965881207134.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPBraga, Marcio FelicianoMorais, Cecilia de FreitasTognetti, Eduardo StocklerOliveira, Ricardo Coração de Leão Fontoura dePeres, Pedro Luis Dias2024-11-10T19:41:22Zoai:repositorio.ufop.br:123456789/7055Repositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332024-11-10T19:41:22Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false
dc.title.none.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.
dc.creator.none.fl_str_mv Braga, Marcio Feliciano
Morais, Cecilia de Freitas
Tognetti, Eduardo Stockler
Oliveira, Ricardo Coração de Leão Fontoura de
Peres, Pedro Luis Dias
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.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.none.fl_str_mv 2015
2016-10-14T15:21:48Z
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.uri.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.
0167-6911
http://www.repositorio.ufop.br/handle/123456789/7055
https://doi.org/10.1016/j.sysconle.2015.10.002
dc.identifier.dark.fl_str_mv ark:/61566/0013000008bt5
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
ark:/61566/0013000008bt5
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.format.none.fl_str_mv application/pdf
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
repository.name.fl_str_mv Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)
repository.mail.fl_str_mv repositorio@ufop.edu.br
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score 15,300719

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