Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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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/openAccess2024-07-04T19:06:35Zoai:repositorio.unesp.br:11449/9870Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:49:29.606517Repositório 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_ |
1808129255338409984 |