Direct discrete time design of robust state derivative feedback control laws
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1080/00207179.2016.1266521 http://hdl.handle.net/11449/178523 |
Resumo: | This paper is concerned with the problem of designing robust state derivative feedback control laws in discrete time. The main contribution consists of a method for recasting a continuous time state space model in the form of a discrete time model formulated in terms of the state derivative. Uncertain input delays and parametric uncertainties in polytopic form can be propagated from the original state space representation to the resulting state derivative model. Therefore, robust control techniques originally developed for discrete time state space models can be directly employed to design the state derivative feedback law. Three computational examples are presented for illustration. The first example highlights the importance of accounting for the effect of sampling in the design procedure. More specifically, a linear quadratic regulation problem involving the state derivative is addressed. The second example involves the design of a robust predictive controller in the presence of input constraints and uncertain time delay. Finally, the third example is concerned with robust pole placement in the presence of parametric uncertainty. |
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Repositório Institucional da UNESP |
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Direct discrete time design of robust state derivative feedback control lawsdirect discrete time designrobust controlrobust pole placementrobust predictive controlState derivative feedbackThis paper is concerned with the problem of designing robust state derivative feedback control laws in discrete time. The main contribution consists of a method for recasting a continuous time state space model in the form of a discrete time model formulated in terms of the state derivative. Uncertain input delays and parametric uncertainties in polytopic form can be propagated from the original state space representation to the resulting state derivative model. Therefore, robust control techniques originally developed for discrete time state space models can be directly employed to design the state derivative feedback law. Three computational examples are presented for illustration. The first example highlights the importance of accounting for the effect of sampling in the design procedure. More specifically, a linear quadratic regulation problem involving the state derivative is addressed. The second example involves the design of a robust predictive controller in the presence of input constraints and uncertain time delay. Finally, the third example is concerned with robust pole placement in the presence of parametric uncertainty.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Department of Electronic Engineering ITA - Instituto Tecnológico de AeronáuticaDepartment of Electrical Engineering UNESP - Univ Estadual PaulistaDepartment of Electrical Engineering UNESP - Univ Estadual PaulistaFAPESP: 140585/2014-1FAPESP: 2011/17610-0FAPESP: 300703/2013-9FAPESP: 303714/2014-0FAPESP: 310798/2014-0ITA - Instituto Tecnológico de AeronáuticaUniversidade Estadual Paulista (Unesp)Rossi, Fernanda QuelhoGalvão, Roberto Kawakami HarropTeixeira, Marcelo Carvalho Minhoto [UNESP]Assunção, Edvaldo [UNESP]2018-12-11T17:30:44Z2018-12-11T17:30:44Z2018-01-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article70-84application/pdfhttp://dx.doi.org/10.1080/00207179.2016.1266521International Journal of Control, v. 91, n. 1, p. 70-84, 2018.1366-58200020-7179http://hdl.handle.net/11449/17852310.1080/00207179.2016.12665212-s2.0-850069311732-s2.0-85006931173.pdf8879964582778840Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Control1,152info:eu-repo/semantics/openAccess2023-11-09T06:15:28Zoai:repositorio.unesp.br:11449/178523Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-09T06:15:28Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Direct discrete time design of robust state derivative feedback control laws |
title |
Direct discrete time design of robust state derivative feedback control laws |
spellingShingle |
Direct discrete time design of robust state derivative feedback control laws Rossi, Fernanda Quelho direct discrete time design robust control robust pole placement robust predictive control State derivative feedback |
title_short |
Direct discrete time design of robust state derivative feedback control laws |
title_full |
Direct discrete time design of robust state derivative feedback control laws |
title_fullStr |
Direct discrete time design of robust state derivative feedback control laws |
title_full_unstemmed |
Direct discrete time design of robust state derivative feedback control laws |
title_sort |
Direct discrete time design of robust state derivative feedback control laws |
author |
Rossi, Fernanda Quelho |
author_facet |
Rossi, Fernanda Quelho Galvão, Roberto Kawakami Harrop Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] |
author_role |
author |
author2 |
Galvão, Roberto Kawakami Harrop Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
ITA - Instituto Tecnológico de Aeronáutica Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Rossi, Fernanda Quelho Galvão, Roberto Kawakami Harrop Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] |
dc.subject.por.fl_str_mv |
direct discrete time design robust control robust pole placement robust predictive control State derivative feedback |
topic |
direct discrete time design robust control robust pole placement robust predictive control State derivative feedback |
description |
This paper is concerned with the problem of designing robust state derivative feedback control laws in discrete time. The main contribution consists of a method for recasting a continuous time state space model in the form of a discrete time model formulated in terms of the state derivative. Uncertain input delays and parametric uncertainties in polytopic form can be propagated from the original state space representation to the resulting state derivative model. Therefore, robust control techniques originally developed for discrete time state space models can be directly employed to design the state derivative feedback law. Three computational examples are presented for illustration. The first example highlights the importance of accounting for the effect of sampling in the design procedure. More specifically, a linear quadratic regulation problem involving the state derivative is addressed. The second example involves the design of a robust predictive controller in the presence of input constraints and uncertain time delay. Finally, the third example is concerned with robust pole placement in the presence of parametric uncertainty. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:30:44Z 2018-12-11T17:30:44Z 2018-01-02 |
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 |
http://dx.doi.org/10.1080/00207179.2016.1266521 International Journal of Control, v. 91, n. 1, p. 70-84, 2018. 1366-5820 0020-7179 http://hdl.handle.net/11449/178523 10.1080/00207179.2016.1266521 2-s2.0-85006931173 2-s2.0-85006931173.pdf 8879964582778840 |
url |
http://dx.doi.org/10.1080/00207179.2016.1266521 http://hdl.handle.net/11449/178523 |
identifier_str_mv |
International Journal of Control, v. 91, n. 1, p. 70-84, 2018. 1366-5820 0020-7179 10.1080/00207179.2016.1266521 2-s2.0-85006931173 2-s2.0-85006931173.pdf 8879964582778840 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal of Control 1,152 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
70-84 application/pdf |
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_ |
1797789660269772800 |