Global optimization approach for the H2-norm model reduction problem

Detalhes bibliográficos
Autor(a) principal: Assuncao, Edvaldo [UNESP]
Data de Publicação: 1999
Outros Autores: Peres, Pedro L D [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/CDC.1999.830904
http://hdl.handle.net/11449/65951
Resumo: A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds used in the optimization procedure are obtained through Linear Matrix Inequalities formulations. Examples illustrate the results.
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spelling Global optimization approach for the H2-norm model reduction problemAlgorithmsControl system synthesisLinear systemsMathematical modelsMatrix algebraOptimizationPolynomialsState space methodsContinuous time linear systemsLinear matrix inequalitiesOptimal control systemsA branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds used in the optimization procedure are obtained through Linear Matrix Inequalities formulations. Examples illustrate the results.Paulista State Univ, Ilha SolteiraPaulista State Univ, Ilha SolteiraUniversidade Estadual Paulista (Unesp)Assuncao, Edvaldo [UNESP]Peres, Pedro L D [UNESP]2014-05-27T11:19:49Z2014-05-27T11:19:49Z1999-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1857-1862http://dx.doi.org/10.1109/CDC.1999.830904Proceedings of the IEEE Conference on Decision and Control, v. 2, p. 1857-1862.0191-2216http://hdl.handle.net/11449/6595110.1109/CDC.1999.8309042-s2.0-00333257548755160580142626Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the IEEE Conference on Decision and Control0,591info:eu-repo/semantics/openAccess2021-10-23T21:41:36Zoai:repositorio.unesp.br:11449/65951Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:36Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Global optimization approach for the H2-norm model reduction problem
title Global optimization approach for the H2-norm model reduction problem
spellingShingle Global optimization approach for the H2-norm model reduction problem
Assuncao, Edvaldo [UNESP]
Algorithms
Control system synthesis
Linear systems
Mathematical models
Matrix algebra
Optimization
Polynomials
State space methods
Continuous time linear systems
Linear matrix inequalities
Optimal control systems
title_short Global optimization approach for the H2-norm model reduction problem
title_full Global optimization approach for the H2-norm model reduction problem
title_fullStr Global optimization approach for the H2-norm model reduction problem
title_full_unstemmed Global optimization approach for the H2-norm model reduction problem
title_sort Global optimization approach for the H2-norm model reduction problem
author Assuncao, Edvaldo [UNESP]
author_facet Assuncao, Edvaldo [UNESP]
Peres, Pedro L D [UNESP]
author_role author
author2 Peres, Pedro L D [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Assuncao, Edvaldo [UNESP]
Peres, Pedro L D [UNESP]
dc.subject.por.fl_str_mv Algorithms
Control system synthesis
Linear systems
Mathematical models
Matrix algebra
Optimization
Polynomials
State space methods
Continuous time linear systems
Linear matrix inequalities
Optimal control systems
topic Algorithms
Control system synthesis
Linear systems
Mathematical models
Matrix algebra
Optimization
Polynomials
State space methods
Continuous time linear systems
Linear matrix inequalities
Optimal control systems
description A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds used in the optimization procedure are obtained through Linear Matrix Inequalities formulations. Examples illustrate the results.
publishDate 1999
dc.date.none.fl_str_mv 1999-12-01
2014-05-27T11:19:49Z
2014-05-27T11:19:49Z
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/CDC.1999.830904
Proceedings of the IEEE Conference on Decision and Control, v. 2, p. 1857-1862.
0191-2216
http://hdl.handle.net/11449/65951
10.1109/CDC.1999.830904
2-s2.0-0033325754
8755160580142626
url http://dx.doi.org/10.1109/CDC.1999.830904
http://hdl.handle.net/11449/65951
identifier_str_mv Proceedings of the IEEE Conference on Decision and Control, v. 2, p. 1857-1862.
0191-2216
10.1109/CDC.1999.830904
2-s2.0-0033325754
8755160580142626
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the IEEE Conference on Decision and Control
0,591
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1857-1862
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_ 1799964578426126336

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