Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1080/00207179.2021.1953708 http://hdl.handle.net/11449/233343 |
Resumo: | This paper is devoted to the guaranteed cost (Formula presented.) of continuous-time linear parameter-varying (LPV) systems, considering the gain scheduling (GS) strategy and the state derivative feedback (SDF). The main contribution of the paper is to derive linear matrix inequalities (LMIs) conditions for the (Formula presented.) -SDF problem for LPV systems, taking into account the GS controller. For the good behaviour of the controller, we assume that the time-varying parameters are available for online measurement. In some cases, the (Formula presented.) -GS-SDF controller obtained high control signals, and as we intend to apply the proposed method in practical situations, we introduce the concept of (Formula presented.) -stability in the problem approach. Examples and a practical implementation 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 guaranteed cost (Formula presented.) minimisation. |
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oai:repositorio.unesp.br:11449/233343 |
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network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems-stabilitygain scheduling (GS)Guaranteed costlinear matrix inequalities (LMIs)linear parameter-varying (LPV) systemsstate derivative feedback (SDF)This paper is devoted to the guaranteed cost (Formula presented.) of continuous-time linear parameter-varying (LPV) systems, considering the gain scheduling (GS) strategy and the state derivative feedback (SDF). The main contribution of the paper is to derive linear matrix inequalities (LMIs) conditions for the (Formula presented.) -SDF problem for LPV systems, taking into account the GS controller. For the good behaviour of the controller, we assume that the time-varying parameters are available for online measurement. In some cases, the (Formula presented.) -GS-SDF controller obtained high control signals, and as we intend to apply the proposed method in practical situations, we introduce the concept of (Formula presented.) -stability in the problem approach. Examples and a practical implementation 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 guaranteed cost (Formula presented.) minimisation.Department of Electrical Engineering School of Engineering São Paulo State University (Unesp)Department of Electrical Engineering School of Engineering São Paulo State University (Unesp)Universidade Estadual Paulista (UNESP)Beteto, Marco Antonio Leite [UNESP]Assunção, Edvaldo [UNESP]Teixeira, Marcelo Carvalho Minhoto [UNESP]2022-05-01T07:58:48Z2022-05-01T07:58:48Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1080/00207179.2021.1953708International Journal of Control.1366-58200020-7179http://hdl.handle.net/11449/23334310.1080/00207179.2021.19537082-s2.0-85111696697Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Controlinfo:eu-repo/semantics/openAccess2022-05-01T07:58:48Zoai:repositorio.unesp.br:11449/233343Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-05-01T07:58:48Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems |
title |
Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems |
spellingShingle |
Design of an 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 an gain scheduling state derivative feedback controller for linear parameter-varying systems |
title_full |
Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems |
title_fullStr |
Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems |
title_full_unstemmed |
Design of an gain scheduling state derivative feedback controller for linear parameter-varying systems |
title_sort |
Design of an 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 |
This paper is devoted to the guaranteed cost (Formula presented.) of continuous-time linear parameter-varying (LPV) systems, considering the gain scheduling (GS) strategy and the state derivative feedback (SDF). The main contribution of the paper is to derive linear matrix inequalities (LMIs) conditions for the (Formula presented.) -SDF problem for LPV systems, taking into account the GS controller. For the good behaviour of the controller, we assume that the time-varying parameters are available for online measurement. In some cases, the (Formula presented.) -GS-SDF controller obtained high control signals, and as we intend to apply the proposed method in practical situations, we introduce the concept of (Formula presented.) -stability in the problem approach. Examples and a practical implementation 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 guaranteed cost (Formula presented.) minimisation. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 2022-05-01T07:58:48Z 2022-05-01T07:58:48Z |
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 |
http://dx.doi.org/10.1080/00207179.2021.1953708 International Journal of Control. 1366-5820 0020-7179 http://hdl.handle.net/11449/233343 10.1080/00207179.2021.1953708 2-s2.0-85111696697 |
url |
http://dx.doi.org/10.1080/00207179.2021.1953708 http://hdl.handle.net/11449/233343 |
identifier_str_mv |
International Journal of Control. 1366-5820 0020-7179 10.1080/00207179.2021.1953708 2-s2.0-85111696697 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal of Control |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1792962030569783296 |