Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s40313-019-00474-x http://hdl.handle.net/11449/190371 |
Resumo: | This manuscript considers a class of linear systems with time-invariant uncertainties, where only the derivative of the state vector is considered for feedback. In this scenario, the proposed strategy uses auxiliary dynamics, whose state is accessible for feedback, to control the original plant. It is proposed a design procedure by means of linear matrix inequalities, adding an auxiliary dynamics and subject to actuator saturation. If the conditions are feasible, they assure that the equilibrium point of the closed-loop system is locally asymptotically stable, for all initial conditions in an ellipsoidal region, which is within a given region defined for the plant and the new dynamics. Although the proposed design includes an auxiliary dynamics, it ensures the stability and decay rate proprieties for the original plant. Simulations examples illustrate the effectiveness of the proposed approach. |
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Repositório Institucional da UNESP |
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Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator SaturationActuator saturationDerivative feedbackLinear matrix inequalitiesUncertain linear systemThis manuscript considers a class of linear systems with time-invariant uncertainties, where only the derivative of the state vector is considered for feedback. In this scenario, the proposed strategy uses auxiliary dynamics, whose state is accessible for feedback, to control the original plant. It is proposed a design procedure by means of linear matrix inequalities, adding an auxiliary dynamics and subject to actuator saturation. If the conditions are feasible, they assure that the equilibrium point of the closed-loop system is locally asymptotically stable, for all initial conditions in an ellipsoidal region, which is within a given region defined for the plant and the new dynamics. Although the proposed design includes an auxiliary dynamics, it ensures the stability and decay rate proprieties for the original plant. Simulations examples illustrate the effectiveness of the proposed approach.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Department of Mathematics UFMT—Federal University of Mato Grosso ICETIFPR—Federal Institute of Education Science and Technology of Paraná, Campus of JacarezinhoSão Paulo State University (UNESP) School of Engineering Ilha Solteira, José Carlos Rossi Avenue, 1370IFMT—Federal Institute of Education Science and Technology of Mato Grosso, Campus of Barra do GarçasSão Paulo State University (UNESP) School of Engineering Ilha Solteira, José Carlos Rossi Avenue, 1370CNPq: 140131/2019-1FAPESP: 2011/17610-0CNPq: 301227/2017- 9CNPq: 306634/2017-1CNPq: 309872/2018-9ICETScience and Technology of ParanáUniversidade Estadual Paulista (Unesp)Science and Technology of Mato GrossoWolmuth, Leidy DianeAlves, Uiliam Nelson Lendzion TomazTeixeira, Marcelo Carvalho Minhoto [UNESP]Assunção, Edvaldo [UNESP]Cardim, Rodrigo [UNESP]Moreira, Manoel Rodrigo2019-10-06T17:11:00Z2019-10-06T17:11:00Z2019-08-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article490-500http://dx.doi.org/10.1007/s40313-019-00474-xJournal of Control, Automation and Electrical Systems, v. 30, n. 4, p. 490-500, 2019.2195-38992195-3880http://hdl.handle.net/11449/19037110.1007/s40313-019-00474-x2-s2.0-85066823801887996458277884050620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Control, Automation and Electrical Systemsinfo:eu-repo/semantics/openAccess2024-07-04T19:06:46Zoai:repositorio.unesp.br:11449/190371Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:53:33.389439Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
title |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
spellingShingle |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation Wolmuth, Leidy Diane Actuator saturation Derivative feedback Linear matrix inequalities Uncertain linear system |
title_short |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
title_full |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
title_fullStr |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
title_full_unstemmed |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
title_sort |
Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation |
author |
Wolmuth, Leidy Diane |
author_facet |
Wolmuth, Leidy Diane Alves, Uiliam Nelson Lendzion Tomaz Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Moreira, Manoel Rodrigo |
author_role |
author |
author2 |
Alves, Uiliam Nelson Lendzion Tomaz Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Moreira, Manoel Rodrigo |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
ICET Science and Technology of Paraná Universidade Estadual Paulista (Unesp) Science and Technology of Mato Grosso |
dc.contributor.author.fl_str_mv |
Wolmuth, Leidy Diane Alves, Uiliam Nelson Lendzion Tomaz Teixeira, Marcelo Carvalho Minhoto [UNESP] Assunção, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Moreira, Manoel Rodrigo |
dc.subject.por.fl_str_mv |
Actuator saturation Derivative feedback Linear matrix inequalities Uncertain linear system |
topic |
Actuator saturation Derivative feedback Linear matrix inequalities Uncertain linear system |
description |
This manuscript considers a class of linear systems with time-invariant uncertainties, where only the derivative of the state vector is considered for feedback. In this scenario, the proposed strategy uses auxiliary dynamics, whose state is accessible for feedback, to control the original plant. It is proposed a design procedure by means of linear matrix inequalities, adding an auxiliary dynamics and subject to actuator saturation. If the conditions are feasible, they assure that the equilibrium point of the closed-loop system is locally asymptotically stable, for all initial conditions in an ellipsoidal region, which is within a given region defined for the plant and the new dynamics. Although the proposed design includes an auxiliary dynamics, it ensures the stability and decay rate proprieties for the original plant. Simulations examples illustrate the effectiveness of the proposed approach. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T17:11:00Z 2019-10-06T17:11:00Z 2019-08-15 |
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/10.1007/s40313-019-00474-x Journal of Control, Automation and Electrical Systems, v. 30, n. 4, p. 490-500, 2019. 2195-3899 2195-3880 http://hdl.handle.net/11449/190371 10.1007/s40313-019-00474-x 2-s2.0-85066823801 8879964582778840 5062087380571462 0000-0002-1072-3814 |
url |
http://dx.doi.org/10.1007/s40313-019-00474-x http://hdl.handle.net/11449/190371 |
identifier_str_mv |
Journal of Control, Automation and Electrical Systems, v. 30, n. 4, p. 490-500, 2019. 2195-3899 2195-3880 10.1007/s40313-019-00474-x 2-s2.0-85066823801 8879964582778840 5062087380571462 0000-0002-1072-3814 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Control, Automation and Electrical Systems |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
490-500 |
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_ |
1808129370983759872 |