Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback

Detalhes bibliográficos
Autor(a) principal: da Silva, Emerson R. P. [UNESP]
Data de Publicação: 2012
Outros Autores: Assuncao, Edvaldo [UNESP], Teixeira, Marcelo C. M. [UNESP], Buzachero, Luiz Francisco S. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1155/2012/315049
http://hdl.handle.net/11449/9870
Resumo: The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities (LMIs) and a parameter-dependent Lyapunov functions (PDLF) allowed by Finsler's lemma, a less conservative approach to the controller design via state-derivative feedback, is proposed in this work, with and without decay rate restriction, for continuous-time linear systems subject to polytopic uncertainties. Finally, numerical examples illustrate the efficiency of the proposed method.
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spelling Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative FeedbackThe motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities (LMIs) and a parameter-dependent Lyapunov functions (PDLF) allowed by Finsler's lemma, a less conservative approach to the controller design via state-derivative feedback, is proposed in this work, with and without decay rate restriction, for continuous-time linear systems subject to polytopic uncertainties. Finally, numerical examples illustrate the efficiency of the proposed method.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Paulista UNESP, Res Lab Control, Dept Elect Engn, BR-15385000 Ilha Solteira, SP, BrazilUniv Estadual Paulista UNESP, Res Lab Control, Dept Elect Engn, BR-15385000 Ilha Solteira, SP, BrazilHindawi Publishing CorporationUniversidade Estadual Paulista (Unesp)da Silva, Emerson R. P. [UNESP]Assuncao, Edvaldo [UNESP]Teixeira, Marcelo C. M. [UNESP]Buzachero, Luiz Francisco S. [UNESP]2014-05-20T13:29:18Z2014-05-20T13:29:18Z2012-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article21application/pdfhttp://dx.doi.org/10.1155/2012/315049Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 21, 2012.1024-123Xhttp://hdl.handle.net/11449/987010.1155/2012/315049WOS:000301388800001WOS000301388800001.pdf8755160580142626Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.145info:eu-repo/semantics/openAccess2023-12-20T06:23:08Zoai:repositorio.unesp.br:11449/9870Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-20T06:23:08Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
title Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
spellingShingle Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
da Silva, Emerson R. P. [UNESP]
title_short Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
title_full Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
title_fullStr Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
title_full_unstemmed Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
title_sort Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
author da Silva, Emerson R. P. [UNESP]
author_facet da Silva, Emerson R. P. [UNESP]
Assuncao, Edvaldo [UNESP]
Teixeira, Marcelo C. M. [UNESP]
Buzachero, Luiz Francisco S. [UNESP]
author_role author
author2 Assuncao, Edvaldo [UNESP]
Teixeira, Marcelo C. M. [UNESP]
Buzachero, Luiz Francisco S. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv da Silva, Emerson R. P. [UNESP]
Assuncao, Edvaldo [UNESP]
Teixeira, Marcelo C. M. [UNESP]
Buzachero, Luiz Francisco S. [UNESP]
description The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities (LMIs) and a parameter-dependent Lyapunov functions (PDLF) allowed by Finsler's lemma, a less conservative approach to the controller design via state-derivative feedback, is proposed in this work, with and without decay rate restriction, for continuous-time linear systems subject to polytopic uncertainties. Finally, numerical examples illustrate the efficiency of the proposed method.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01
2014-05-20T13:29:18Z
2014-05-20T13:29:18Z
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/10.1155/2012/315049
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 21, 2012.
1024-123X
http://hdl.handle.net/11449/9870
10.1155/2012/315049
WOS:000301388800001
WOS000301388800001.pdf
8755160580142626
url http://dx.doi.org/10.1155/2012/315049
http://hdl.handle.net/11449/9870
identifier_str_mv Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 21, 2012.
1024-123X
10.1155/2012/315049
WOS:000301388800001
WOS000301388800001.pdf
8755160580142626
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematical Problems in Engineering
1.145
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 21
application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv Web of Science
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_ 1799965348798136320

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