Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems

Detalhes bibliográficos
Autor(a) principal: Beteto, Marco Antonio Leite [UNESP]
Data de Publicação: 2023
Outros Autores: Assunção, Edvaldo [UNESP], Teixeira, Marcelo Carvalho Minhoto [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/00207721.2023.2168141
http://hdl.handle.net/11449/249962
Resumo: In this paper, the mixed (Formula presented.) guaranteed cost for continuous-time linear parameter-varying (LPV) systems is proposed. In addition, the gain scheduling (GS) strategy and the state derivative feedback (SDF) were considered. The time-varying parameter is assumed to be available for online measurement, and the conditions are based on linear matrix inequalities (LMIs). To improve the behaviour of the system, the (Formula presented.) -stability is used. Examples show that the proposed conditions achieved good results in reducing the disturbance effect in the system. Furthermore, with the proposed methods, it is possible to guarantee the asymptotic stability and a mixed (Formula presented.) guaranteed cost minimisation.
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spelling Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systemsstabilitygain scheduling (GS)guaranteed costlinear matrix inequalities (LMIs)linear parameter-varying (LPV) systemsstate derivative feedback (SDF)In this paper, the mixed (Formula presented.) guaranteed cost for continuous-time linear parameter-varying (LPV) systems is proposed. In addition, the gain scheduling (GS) strategy and the state derivative feedback (SDF) were considered. The time-varying parameter is assumed to be available for online measurement, and the conditions are based on linear matrix inequalities (LMIs). To improve the behaviour of the system, the (Formula presented.) -stability is used. Examples show that the proposed conditions achieved good results in reducing the disturbance effect in the system. Furthermore, with the proposed methods, it is possible to guarantee the asymptotic stability and a mixed (Formula presented.) guaranteed cost minimisation.Department of Electrical Engineering School of Engineering São Paulo State University, SPDepartment of Electrical Engineering School of Engineering São Paulo State University, SPUniversidade Estadual Paulista (UNESP)Beteto, Marco Antonio Leite [UNESP]Assunção, Edvaldo [UNESP]Teixeira, Marcelo Carvalho Minhoto [UNESP]2023-07-29T16:13:57Z2023-07-29T16:13:57Z2023-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1117-1135http://dx.doi.org/10.1080/00207721.2023.2168141International Journal of Systems Science, v. 54, n. 5, p. 1117-1135, 2023.1464-53190020-7721http://hdl.handle.net/11449/24996210.1080/00207721.2023.21681412-s2.0-85159487211Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Systems Scienceinfo:eu-repo/semantics/openAccess2023-07-29T16:13:57Zoai:repositorio.unesp.br:11449/249962Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T16:13:57Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
title Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
spellingShingle Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
Beteto, Marco Antonio Leite [UNESP]
stability
gain scheduling (GS)
guaranteed cost
linear matrix inequalities (LMIs)
linear parameter-varying (LPV) systems
state derivative feedback (SDF)
title_short Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
title_full Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
title_fullStr Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
title_full_unstemmed Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
title_sort Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems
author Beteto, Marco Antonio Leite [UNESP]
author_facet Beteto, Marco Antonio Leite [UNESP]
Assunção, Edvaldo [UNESP]
Teixeira, Marcelo Carvalho Minhoto [UNESP]
author_role author
author2 Assunção, Edvaldo [UNESP]
Teixeira, Marcelo Carvalho Minhoto [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Beteto, Marco Antonio Leite [UNESP]
Assunção, Edvaldo [UNESP]
Teixeira, Marcelo Carvalho Minhoto [UNESP]
dc.subject.por.fl_str_mv stability
gain scheduling (GS)
guaranteed cost
linear matrix inequalities (LMIs)
linear parameter-varying (LPV) systems
state derivative feedback (SDF)
topic stability
gain scheduling (GS)
guaranteed cost
linear matrix inequalities (LMIs)
linear parameter-varying (LPV) systems
state derivative feedback (SDF)
description In this paper, the mixed (Formula presented.) guaranteed cost for continuous-time linear parameter-varying (LPV) systems is proposed. In addition, the gain scheduling (GS) strategy and the state derivative feedback (SDF) were considered. The time-varying parameter is assumed to be available for online measurement, and the conditions are based on linear matrix inequalities (LMIs). To improve the behaviour of the system, the (Formula presented.) -stability is used. Examples show that the proposed conditions achieved good results in reducing the disturbance effect in the system. Furthermore, with the proposed methods, it is possible to guarantee the asymptotic stability and a mixed (Formula presented.) guaranteed cost minimisation.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-29T16:13:57Z
2023-07-29T16:13:57Z
2023-01-01
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/10.1080/00207721.2023.2168141
International Journal of Systems Science, v. 54, n. 5, p. 1117-1135, 2023.
1464-5319
0020-7721
http://hdl.handle.net/11449/249962
10.1080/00207721.2023.2168141
2-s2.0-85159487211
url http://dx.doi.org/10.1080/00207721.2023.2168141
http://hdl.handle.net/11449/249962
identifier_str_mv International Journal of Systems Science, v. 54, n. 5, p. 1117-1135, 2023.
1464-5319
0020-7721
10.1080/00207721.2023.2168141
2-s2.0-85159487211
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Systems Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1117-1135
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_ 1792962394424606720

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