Output control of continuous-time uncertain switched linear systems via switched static output feedback
Autor(a) principal: | |
---|---|
Data de Publicação: | 2018 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1080/00207179.2018.1495341 http://hdl.handle.net/11449/171221 |
Resumo: | This paper is devoted to the robust (Formula presented.) and guaranteed cost control problems for continuous-time switched linear systems with polytopic uncertainties, considering an output-dependent switching law and a switched static output feedback controller. The proposed method offers new sufficient conditions based on Linear Matrix Inequalities (LMIs) for designing the switching strategy. In order to provide extra free dimensions in the solution space, some conditions become a special class of Bilinear Matrix Inequalities (BMIs). Therefore, the hybrid algorithm Differential Evolution–Linear Matrix Inequality is proposed for obtaining feasible solutions of this NP-hard problem. Theoretical analyses and numerical examples show that these new procedures reduce the design conservatism of two recent known methods for solving the presented control problems. Besides, a practical application of the method in the design and simulation of a robust switched controller of a switched semi-active suspension is performed. |
id |
UNSP_5becdc10108dacb031382c4fc00182e1 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/171221 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Output control of continuous-time uncertain switched linear systems via switched static output feedbacklinear matrix inequalitiesrobust controlRobust output switching strategyrobust static output feedback (Formula presented.) controlswitched static output feedbackThis paper is devoted to the robust (Formula presented.) and guaranteed cost control problems for continuous-time switched linear systems with polytopic uncertainties, considering an output-dependent switching law and a switched static output feedback controller. The proposed method offers new sufficient conditions based on Linear Matrix Inequalities (LMIs) for designing the switching strategy. In order to provide extra free dimensions in the solution space, some conditions become a special class of Bilinear Matrix Inequalities (BMIs). Therefore, the hybrid algorithm Differential Evolution–Linear Matrix Inequality is proposed for obtaining feasible solutions of this NP-hard problem. Theoretical analyses and numerical examples show that these new procedures reduce the design conservatism of two recent known methods for solving the presented control problems. Besides, a practical application of the method in the design and simulation of a robust switched controller of a switched semi-active suspension is performed.Federal Institute of São Paulo, Campus Presidente Epitácio, Presidente Epitácio, BrazilSchool of Natural Sciences and Engineering, São Paulo State University (UNESP), Ilha Solteira, BrazilFederal Institute of Mato Grosso do Sul, Campus Três Lagoas, Três Lagoas, BrazilUniversidade Estadual Paulista (Unesp)Carniato, Leonardo AtaideCarniato, Alexandre AtaideTeixeira, Marcelo Carvalho MinhotoCardim, RodrigoMainardi Junior, Edson ItaloAssunção, Edvaldo2018-12-11T16:54:27Z2018-12-11T16:54:27Z2018-07-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-20application/pdfhttp://dx.doi.org/10.1080/00207179.2018.1495341International Journal of Control, p. 1-20.1366-58200020-7179http://hdl.handle.net/11449/17122110.1080/00207179.2018.14953412-s2.0-850499866502-s2.0-85049986650.pdf8879964582778840875516058014262650620873805714620000-0002-4439-85700000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Control1,152info:eu-repo/semantics/openAccess2023-11-17T06:14:47Zoai:repositorio.unesp.br:11449/171221Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-17T06:14:47Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
title |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
spellingShingle |
Output control of continuous-time uncertain switched linear systems via switched static output feedback Carniato, Leonardo Ataide linear matrix inequalities robust control Robust output switching strategy robust static output feedback (Formula presented.) control switched static output feedback |
title_short |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
title_full |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
title_fullStr |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
title_full_unstemmed |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
title_sort |
Output control of continuous-time uncertain switched linear systems via switched static output feedback |
author |
Carniato, Leonardo Ataide |
author_facet |
Carniato, Leonardo Ataide Carniato, Alexandre Ataide Teixeira, Marcelo Carvalho Minhoto Cardim, Rodrigo Mainardi Junior, Edson Italo Assunção, Edvaldo |
author_role |
author |
author2 |
Carniato, Alexandre Ataide Teixeira, Marcelo Carvalho Minhoto Cardim, Rodrigo Mainardi Junior, Edson Italo Assunção, Edvaldo |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Carniato, Leonardo Ataide Carniato, Alexandre Ataide Teixeira, Marcelo Carvalho Minhoto Cardim, Rodrigo Mainardi Junior, Edson Italo Assunção, Edvaldo |
dc.subject.por.fl_str_mv |
linear matrix inequalities robust control Robust output switching strategy robust static output feedback (Formula presented.) control switched static output feedback |
topic |
linear matrix inequalities robust control Robust output switching strategy robust static output feedback (Formula presented.) control switched static output feedback |
description |
This paper is devoted to the robust (Formula presented.) and guaranteed cost control problems for continuous-time switched linear systems with polytopic uncertainties, considering an output-dependent switching law and a switched static output feedback controller. The proposed method offers new sufficient conditions based on Linear Matrix Inequalities (LMIs) for designing the switching strategy. In order to provide extra free dimensions in the solution space, some conditions become a special class of Bilinear Matrix Inequalities (BMIs). Therefore, the hybrid algorithm Differential Evolution–Linear Matrix Inequality is proposed for obtaining feasible solutions of this NP-hard problem. Theoretical analyses and numerical examples show that these new procedures reduce the design conservatism of two recent known methods for solving the presented control problems. Besides, a practical application of the method in the design and simulation of a robust switched controller of a switched semi-active suspension is performed. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T16:54:27Z 2018-12-11T16:54:27Z 2018-07-13 |
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/10.1080/00207179.2018.1495341 International Journal of Control, p. 1-20. 1366-5820 0020-7179 http://hdl.handle.net/11449/171221 10.1080/00207179.2018.1495341 2-s2.0-85049986650 2-s2.0-85049986650.pdf 8879964582778840 8755160580142626 5062087380571462 0000-0002-4439-8570 0000-0002-1072-3814 |
url |
http://dx.doi.org/10.1080/00207179.2018.1495341 http://hdl.handle.net/11449/171221 |
identifier_str_mv |
International Journal of Control, p. 1-20. 1366-5820 0020-7179 10.1080/00207179.2018.1495341 2-s2.0-85049986650 2-s2.0-85049986650.pdf 8879964582778840 8755160580142626 5062087380571462 0000-0002-4439-8570 0000-0002-1072-3814 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal of Control 1,152 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1-20 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_ |
1799964972514541568 |