Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems

Detalhes bibliográficos
Autor(a) principal: Cardim, Rodrigo [UNESP]
Data de Publicação: 2008
Outros Autores: Teixeira, Marcelo C.M. [UNESP], Assunção, Edvaldo [UNESP], Covacic, Márcio R.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/VSS.2008.4570676
http://hdl.handle.net/11449/70583
Resumo: This paper presents two Variable Structure Controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzler (LM) inequalities and also on Strictly Positive Real (SPR) systems stability results. The definition of Lyapunov-Metzler-SPR (LMS) systems and its direct application in the design of VSC for switched systems are introduced in this paper. Two examples illustrate the design of the proposed VSC, considering a plant given by a switched system with a switched-state control law and two linear time-invariant systems, that are not controllable and also can not be stabilized with state feedback. ©2008 IEEE.
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spelling Variable structure control of switched systems based on Lyapunov-Metzler-SPR systemsControl systemsControl theoryDC motorsFeedbackInvarianceSpatial variables controlSpectrum analyzersState feedbackSurface plasmon resonanceSwitching systemsTelecommunication networksTime varying control systemsVariable structure controlA-PlantContinuous-timeLinear-time-invariant systemsLyapunovStability resultsState vectorsStrictly positive realSwitched systemsSwitched-state controlSwitching rulesVariable structure controllersVariable structure systemsSystem stabilityThis paper presents two Variable Structure Controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzler (LM) inequalities and also on Strictly Positive Real (SPR) systems stability results. The definition of Lyapunov-Metzler-SPR (LMS) systems and its direct application in the design of VSC for switched systems are introduced in this paper. Two examples illustrate the design of the proposed VSC, considering a plant given by a switched system with a switched-state control law and two linear time-invariant systems, that are not controllable and also can not be stabilized with state feedback. ©2008 IEEE.Department of Electrical Engineering Faculdade de Engenharia de Ilha Solteira UNESP-São Paulo State University, Ilha Solteira, São PauloDepartment of Electrical Engineering Londrina State University UEL, Londrina, ParanáDepartment of Electrical Engineering Faculdade de Engenharia de Ilha Solteira UNESP-São Paulo State University, Ilha Solteira, São PauloUniversidade Estadual Paulista (Unesp)Universidade Estadual de Londrina (UEL)Cardim, Rodrigo [UNESP]Teixeira, Marcelo C.M. [UNESP]Assunção, Edvaldo [UNESP]Covacic, Márcio R.2014-05-27T11:23:40Z2014-05-27T11:23:40Z2008-09-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject18-23http://dx.doi.org/10.1109/VSS.2008.4570676IEEE 10th International Workshop on Variable Structure Systems, VSS'08, p. 18-23.http://hdl.handle.net/11449/7058310.1109/VSS.2008.4570676WOS:0002589838000042-s2.0-52049088561875516058014262650620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE 10th International Workshop on Variable Structure Systems, VSS'08info:eu-repo/semantics/openAccess2024-07-04T19:11:38Zoai:repositorio.unesp.br:11449/70583Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:23:39.381745Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
title Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
spellingShingle Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
Cardim, Rodrigo [UNESP]
Control systems
Control theory
DC motors
Feedback
Invariance
Spatial variables control
Spectrum analyzers
State feedback
Surface plasmon resonance
Switching systems
Telecommunication networks
Time varying control systems
Variable structure control
A-Plant
Continuous-time
Linear-time-invariant systems
Lyapunov
Stability results
State vectors
Strictly positive real
Switched systems
Switched-state control
Switching rules
Variable structure controllers
Variable structure systems
System stability
title_short Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
title_full Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
title_fullStr Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
title_full_unstemmed Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
title_sort Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
author Cardim, Rodrigo [UNESP]
author_facet Cardim, Rodrigo [UNESP]
Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Covacic, Márcio R.
author_role author
author2 Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Covacic, Márcio R.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Estadual de Londrina (UEL)
dc.contributor.author.fl_str_mv Cardim, Rodrigo [UNESP]
Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Covacic, Márcio R.
dc.subject.por.fl_str_mv Control systems
Control theory
DC motors
Feedback
Invariance
Spatial variables control
Spectrum analyzers
State feedback
Surface plasmon resonance
Switching systems
Telecommunication networks
Time varying control systems
Variable structure control
A-Plant
Continuous-time
Linear-time-invariant systems
Lyapunov
Stability results
State vectors
Strictly positive real
Switched systems
Switched-state control
Switching rules
Variable structure controllers
Variable structure systems
System stability
topic Control systems
Control theory
DC motors
Feedback
Invariance
Spatial variables control
Spectrum analyzers
State feedback
Surface plasmon resonance
Switching systems
Telecommunication networks
Time varying control systems
Variable structure control
A-Plant
Continuous-time
Linear-time-invariant systems
Lyapunov
Stability results
State vectors
Strictly positive real
Switched systems
Switched-state control
Switching rules
Variable structure controllers
Variable structure systems
System stability
description This paper presents two Variable Structure Controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzler (LM) inequalities and also on Strictly Positive Real (SPR) systems stability results. The definition of Lyapunov-Metzler-SPR (LMS) systems and its direct application in the design of VSC for switched systems are introduced in this paper. Two examples illustrate the design of the proposed VSC, considering a plant given by a switched system with a switched-state control law and two linear time-invariant systems, that are not controllable and also can not be stabilized with state feedback. ©2008 IEEE.
publishDate 2008
dc.date.none.fl_str_mv 2008-09-24
2014-05-27T11:23:40Z
2014-05-27T11:23:40Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1109/VSS.2008.4570676
IEEE 10th International Workshop on Variable Structure Systems, VSS'08, p. 18-23.
http://hdl.handle.net/11449/70583
10.1109/VSS.2008.4570676
WOS:000258983800004
2-s2.0-52049088561
8755160580142626
5062087380571462
0000-0002-1072-3814
url http://dx.doi.org/10.1109/VSS.2008.4570676
http://hdl.handle.net/11449/70583
identifier_str_mv IEEE 10th International Workshop on Variable Structure Systems, VSS'08, p. 18-23.
10.1109/VSS.2008.4570676
WOS:000258983800004
2-s2.0-52049088561
8755160580142626
5062087380571462
0000-0002-1072-3814
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IEEE 10th International Workshop on Variable Structure Systems, VSS'08
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 18-23
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_ 1808128926378098688

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