On switched control design of linear time-invariant systems with polytopic uncertainties

Detalhes bibliográficos
Autor(a) principal: De Souza, Wallysonn A.
Data de Publicação: 2013
Outros Autores: Teixeira, Marcelo C. M. [UNESP], Santim, Máira P. A., Cardim, Rodrigo [UNESP], Assunção, Edvaldo [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1155/2013/595029
http://hdl.handle.net/11449/75435
Resumo: This paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain. The control design of a magnetic levitator illustrates the procedure. © 2013 Wallysonn A. de Souza et al.
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spelling On switched control design of linear time-invariant systems with polytopic uncertaintiesFeedback controllerLinear matrix inequality (LMIs)Linear time invariant systemsMagnetic levitatorPolytopic uncertaintiesQuadratic lyapunov functionState feedback gainSwitched controlLinear matrix inequalitiesLyapunov functionsSwitching systemsTime varying control systemsControlThis paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain. The control design of a magnetic levitator illustrates the procedure. © 2013 Wallysonn A. de Souza et al.Department of Academic Areas of Jataí Federal Institute of Education, Science and Technology of Goiás (IFG) Campus Jataí, 75804-020 Jataí, GODepartment of Electrical Engineering, UNESP Univ Estadual Paulista Campus de Ilha Solteira, 15385-000 Ilha Solteira, SPDepartment of Computer, Telecommunication, Control, and Automation Engineering Faculdade of Science and Technology of Montes Claros (FACIT) Campus II, 39400-141 Montes Claros, MGDepartment of Electrical Engineering, UNESP Univ Estadual Paulista Campus de Ilha Solteira, 15385-000 Ilha Solteira, SPFederal Institute of Education, Science and Technology of Goiás (IFG)Universidade Estadual Paulista (Unesp)Faculdade of Science and Technology of Montes Claros (FACIT)De Souza, Wallysonn A.Teixeira, Marcelo C. M. [UNESP]Santim, Máira P. A.Cardim, Rodrigo [UNESP]Assunção, Edvaldo [UNESP]2014-05-27T11:29:32Z2014-05-27T11:29:32Z2013-05-27info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1155/2013/595029Mathematical Problems in Engineering, v. 2013.1024-123X1563-5147http://hdl.handle.net/11449/7543510.1155/2013/595029WOS:0003189485000012-s2.0-848779378692-s2.0-84877937869.pdf875516058014262650620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.1450,268info:eu-repo/semantics/openAccess2024-01-14T06:19:39Zoai:repositorio.unesp.br:11449/75435Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-14T06:19:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On switched control design of linear time-invariant systems with polytopic uncertainties
title On switched control design of linear time-invariant systems with polytopic uncertainties
spellingShingle On switched control design of linear time-invariant systems with polytopic uncertainties
De Souza, Wallysonn A.
Feedback controller
Linear matrix inequality (LMIs)
Linear time invariant systems
Magnetic levitator
Polytopic uncertainties
Quadratic lyapunov function
State feedback gain
Switched control
Linear matrix inequalities
Lyapunov functions
Switching systems
Time varying control systems
Control
title_short On switched control design of linear time-invariant systems with polytopic uncertainties
title_full On switched control design of linear time-invariant systems with polytopic uncertainties
title_fullStr On switched control design of linear time-invariant systems with polytopic uncertainties
title_full_unstemmed On switched control design of linear time-invariant systems with polytopic uncertainties
title_sort On switched control design of linear time-invariant systems with polytopic uncertainties
author De Souza, Wallysonn A.
author_facet De Souza, Wallysonn A.
Teixeira, Marcelo C. M. [UNESP]
Santim, Máira P. A.
Cardim, Rodrigo [UNESP]
Assunção, Edvaldo [UNESP]
author_role author
author2 Teixeira, Marcelo C. M. [UNESP]
Santim, Máira P. A.
Cardim, Rodrigo [UNESP]
Assunção, Edvaldo [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Federal Institute of Education, Science and Technology of Goiás (IFG)
Universidade Estadual Paulista (Unesp)
Faculdade of Science and Technology of Montes Claros (FACIT)
dc.contributor.author.fl_str_mv De Souza, Wallysonn A.
Teixeira, Marcelo C. M. [UNESP]
Santim, Máira P. A.
Cardim, Rodrigo [UNESP]
Assunção, Edvaldo [UNESP]
dc.subject.por.fl_str_mv Feedback controller
Linear matrix inequality (LMIs)
Linear time invariant systems
Magnetic levitator
Polytopic uncertainties
Quadratic lyapunov function
State feedback gain
Switched control
Linear matrix inequalities
Lyapunov functions
Switching systems
Time varying control systems
Control
topic Feedback controller
Linear matrix inequality (LMIs)
Linear time invariant systems
Magnetic levitator
Polytopic uncertainties
Quadratic lyapunov function
State feedback gain
Switched control
Linear matrix inequalities
Lyapunov functions
Switching systems
Time varying control systems
Control
description This paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain. The control design of a magnetic levitator illustrates the procedure. © 2013 Wallysonn A. de Souza et al.
publishDate 2013
dc.date.none.fl_str_mv 2013-05-27
2014-05-27T11:29:32Z
2014-05-27T11:29:32Z
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/10.1155/2013/595029
Mathematical Problems in Engineering, v. 2013.
1024-123X
1563-5147
http://hdl.handle.net/11449/75435
10.1155/2013/595029
WOS:000318948500001
2-s2.0-84877937869
2-s2.0-84877937869.pdf
8755160580142626
5062087380571462
0000-0002-1072-3814
url http://dx.doi.org/10.1155/2013/595029
http://hdl.handle.net/11449/75435
identifier_str_mv Mathematical Problems in Engineering, v. 2013.
1024-123X
1563-5147
10.1155/2013/595029
WOS:000318948500001
2-s2.0-84877937869
2-s2.0-84877937869.pdf
8755160580142626
5062087380571462
0000-0002-1072-3814
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematical Problems in Engineering
1.145
0,268
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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_ 1799965612359811072

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