A global optimization approach for the problem of controller order reduction

Detalhes bibliográficos
Autor(a) principal: Assunção, Edvaldo [UNESP]
Data de Publicação: 2002
Outros Autores: Peres, Pedro L. D.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.3182/20020721-6-es-1901.00132
http://hdl.handle.net/11449/228062
Resumo: A novel formulation for the problem of optimal controller order reduction for continuous-time linear systems is presented. The H2 or the H∞-norms of the error realization between the full and the reduced order controlled systems are used as optimization criteria. Linear matrix inequality optimization problems provide the upper and the lower bounds required for the branch and bound algorithm used to solve the order reduction problem. The convergence in finite time to the global optimum is assured. An example illustrates the results.
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spelling A global optimization approach for the problem of controller order reductionController order reductionH2-normH∞-normLMIModel reductionOptimizationA novel formulation for the problem of optimal controller order reduction for continuous-time linear systems is presented. The H2 or the H∞-norms of the error realization between the full and the reduced order controlled systems are used as optimization criteria. Linear matrix inequality optimization problems provide the upper and the lower bounds required for the branch and bound algorithm used to solve the order reduction problem. The convergence in finite time to the global optimum is assured. An example illustrates the results.State University of São Paulo DEE/FEIS/UNESP, CP 31-15.385-000University of Campinas DT/FEEC/UNICA MP, CP 6101-13.081-970State University of São Paulo DEE/FEIS/UNESP, CP 31-15.385-000Universidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)Assunção, Edvaldo [UNESP]Peres, Pedro L. D.2022-04-29T07:26:31Z2022-04-29T07:26:31Z2002-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject307-312http://dx.doi.org/10.3182/20020721-6-es-1901.00132IFAC Proceedings Volumes (IFAC-PapersOnline), v. 15, n. 1, p. 307-312, 2002.1474-6670http://hdl.handle.net/11449/22806210.3182/20020721-6-es-1901.001322-s2.0-84945542148Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIFAC Proceedings Volumes (IFAC-PapersOnline)info:eu-repo/semantics/openAccess2022-04-29T07:26:31Zoai:repositorio.unesp.br:11449/228062Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T07:26:31Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A global optimization approach for the problem of controller order reduction
title A global optimization approach for the problem of controller order reduction
spellingShingle A global optimization approach for the problem of controller order reduction
Assunção, Edvaldo [UNESP]
Controller order reduction
H2-norm
H∞-norm
LMI
Model reduction
Optimization
title_short A global optimization approach for the problem of controller order reduction
title_full A global optimization approach for the problem of controller order reduction
title_fullStr A global optimization approach for the problem of controller order reduction
title_full_unstemmed A global optimization approach for the problem of controller order reduction
title_sort A global optimization approach for the problem of controller order reduction
author Assunção, Edvaldo [UNESP]
author_facet Assunção, Edvaldo [UNESP]
Peres, Pedro L. D.
author_role author
author2 Peres, Pedro L. D.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Assunção, Edvaldo [UNESP]
Peres, Pedro L. D.
dc.subject.por.fl_str_mv Controller order reduction
H2-norm
H∞-norm
LMI
Model reduction
Optimization
topic Controller order reduction
H2-norm
H∞-norm
LMI
Model reduction
Optimization
description A novel formulation for the problem of optimal controller order reduction for continuous-time linear systems is presented. The H2 or the H∞-norms of the error realization between the full and the reduced order controlled systems are used as optimization criteria. Linear matrix inequality optimization problems provide the upper and the lower bounds required for the branch and bound algorithm used to solve the order reduction problem. The convergence in finite time to the global optimum is assured. An example illustrates the results.
publishDate 2002
dc.date.none.fl_str_mv 2002-01-01
2022-04-29T07:26:31Z
2022-04-29T07:26:31Z
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/10.3182/20020721-6-es-1901.00132
IFAC Proceedings Volumes (IFAC-PapersOnline), v. 15, n. 1, p. 307-312, 2002.
1474-6670
http://hdl.handle.net/11449/228062
10.3182/20020721-6-es-1901.00132
2-s2.0-84945542148
url http://dx.doi.org/10.3182/20020721-6-es-1901.00132
http://hdl.handle.net/11449/228062
identifier_str_mv IFAC Proceedings Volumes (IFAC-PapersOnline), v. 15, n. 1, p. 307-312, 2002.
1474-6670
10.3182/20020721-6-es-1901.00132
2-s2.0-84945542148
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IFAC Proceedings Volumes (IFAC-PapersOnline)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 307-312
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_ 1792961986616623104

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