Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1002/rnc.6250 http://hdl.handle.net/11449/241991 |
Resumo: | The stabilization of discrete-time linear parameter-varying (LPV) systems via gain-scheduling static output feedback (SOF) control is addressed in this article. We propose new sufficient linear matrix inequalities (LMI) conditions for synthesizing a gain-scheduled SOF controller that ensures asymptotic stability and also imposes a lower bound on the closed-loop decay rate. The SOF controller design is based on a two-step method: a state-feedback controller is obtained in a first-stage design, which is then used as input information in the second stage for computing the desired gain-scheduled SOF controller. The proposed LMI constraints are given in terms of the existence of affine parameter-dependent Lyapunov functions, considering arbitrarily fast variation of the time-varying parameters. An extension for coping with disturbance rejection is also proposed, in terms of the (Formula presented.) guaranteed cost optimization. Some numerical experiments are presented to illustrate the control synthesis procedure and its efficacy. Also, feasibility analyses are presented to compare and show the advantages of our results over other available strategies present in literature. |
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Repositório Institucional da UNESP |
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Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback controlgain-scheduling controllinear matrix inequalitiesLPV discrete-time systemsparameter-dependent Lyapunov functionsstatic output feedbackThe stabilization of discrete-time linear parameter-varying (LPV) systems via gain-scheduling static output feedback (SOF) control is addressed in this article. We propose new sufficient linear matrix inequalities (LMI) conditions for synthesizing a gain-scheduled SOF controller that ensures asymptotic stability and also imposes a lower bound on the closed-loop decay rate. The SOF controller design is based on a two-step method: a state-feedback controller is obtained in a first-stage design, which is then used as input information in the second stage for computing the desired gain-scheduled SOF controller. The proposed LMI constraints are given in terms of the existence of affine parameter-dependent Lyapunov functions, considering arbitrarily fast variation of the time-varying parameters. An extension for coping with disturbance rejection is also proposed, in terms of the (Formula presented.) guaranteed cost optimization. Some numerical experiments are presented to illustrate the control synthesis procedure and its efficacy. Also, feasibility analyses are presented to compare and show the advantages of our results over other available strategies present in literature.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Electrical Engineering Department School of Engineering São Paulo State University (UNESP)Electrical Engineering Department School of Engineering São Paulo State University (UNESP)CAPES: 001FAPESP: 2018/20839-9CNPq: 303637/2021-8CNPq: 309872/2018-9Universidade Estadual Paulista (UNESP)Sereni, Bruno [UNESP]Assunção, Edvaldo [UNESP]Teixeira, Marcelo Carvalho Minhoto [UNESP]2023-03-02T06:29:15Z2023-03-02T06:29:15Z2022-09-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article7920-7945http://dx.doi.org/10.1002/rnc.6250International Journal of Robust and Nonlinear Control, v. 32, n. 14, p. 7920-7945, 2022.1099-12391049-8923http://hdl.handle.net/11449/24199110.1002/rnc.62502-s2.0-85133014470Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Robust and Nonlinear Controlinfo:eu-repo/semantics/openAccess2023-03-02T06:29:15Zoai:repositorio.unesp.br:11449/241991Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-03-02T06:29:15Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
title |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
spellingShingle |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control Sereni, Bruno [UNESP] gain-scheduling control linear matrix inequalities LPV discrete-time systems parameter-dependent Lyapunov functions static output feedback |
title_short |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
title_full |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
title_fullStr |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
title_full_unstemmed |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
title_sort |
Stabilization and disturbance rejection with decay rate bounding in discrete-time linear parameter-varying systems via ℋ∞ gain-scheduling static output feedback control |
author |
Sereni, Bruno [UNESP] |
author_facet |
Sereni, Bruno [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 |
Sereni, Bruno [UNESP] Assunção, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] |
dc.subject.por.fl_str_mv |
gain-scheduling control linear matrix inequalities LPV discrete-time systems parameter-dependent Lyapunov functions static output feedback |
topic |
gain-scheduling control linear matrix inequalities LPV discrete-time systems parameter-dependent Lyapunov functions static output feedback |
description |
The stabilization of discrete-time linear parameter-varying (LPV) systems via gain-scheduling static output feedback (SOF) control is addressed in this article. We propose new sufficient linear matrix inequalities (LMI) conditions for synthesizing a gain-scheduled SOF controller that ensures asymptotic stability and also imposes a lower bound on the closed-loop decay rate. The SOF controller design is based on a two-step method: a state-feedback controller is obtained in a first-stage design, which is then used as input information in the second stage for computing the desired gain-scheduled SOF controller. The proposed LMI constraints are given in terms of the existence of affine parameter-dependent Lyapunov functions, considering arbitrarily fast variation of the time-varying parameters. An extension for coping with disturbance rejection is also proposed, in terms of the (Formula presented.) guaranteed cost optimization. Some numerical experiments are presented to illustrate the control synthesis procedure and its efficacy. Also, feasibility analyses are presented to compare and show the advantages of our results over other available strategies present in literature. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-09-25 2023-03-02T06:29:15Z 2023-03-02T06:29:15Z |
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/10.1002/rnc.6250 International Journal of Robust and Nonlinear Control, v. 32, n. 14, p. 7920-7945, 2022. 1099-1239 1049-8923 http://hdl.handle.net/11449/241991 10.1002/rnc.6250 2-s2.0-85133014470 |
url |
http://dx.doi.org/10.1002/rnc.6250 http://hdl.handle.net/11449/241991 |
identifier_str_mv |
International Journal of Robust and Nonlinear Control, v. 32, n. 14, p. 7920-7945, 2022. 1099-1239 1049-8923 10.1002/rnc.6250 2-s2.0-85133014470 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal of Robust and Nonlinear Control |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
7920-7945 |
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_ |
1797789886384701440 |