H2 and/or H∞-norm model reduction of uncertain discrete-time systems

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/ACC.1999.786428
http://hdl.handle.net/11449/65950
Resumo: This paper addresses the problem of model reduction for uncertain discrete-time systems with convex bounded (polytope type) uncertainty. A reduced order precisely known model is obtained in such a way that the H2 and/or the H∞ guaranteed norm of the error between the original (uncertain) system and the reduced one is minimized. The optimization problems are formulated in terms of coupled (non-convex) LMIs - Linear Matrix Inequalities, being solved through iterative algorithms. Examples illustrate the results.
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spelling H2 and/or H∞-norm model reduction of uncertain discrete-time systemsAlgorithmsControl system analysisDiscrete time control systemsIterative methodsMathematical modelsOptimizationLinear matrix inequalities (LMI)Model reductionUncertain systemsThis paper addresses the problem of model reduction for uncertain discrete-time systems with convex bounded (polytope type) uncertainty. A reduced order precisely known model is obtained in such a way that the H2 and/or the H∞ guaranteed norm of the error between the original (uncertain) system and the reduced one is minimized. The optimization problems are formulated in terms of coupled (non-convex) LMIs - Linear Matrix Inequalities, being solved through iterative algorithms. 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/conferenceObject4466-4470http://dx.doi.org/10.1109/ACC.1999.786428Proceedings of the American Control Conference, v. 6, p. 4466-4470.0743-1619http://hdl.handle.net/11449/6595010.1109/ACC.1999.7864282-s2.0-00332845648755160580142626Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the American Control Conference0,500info:eu-repo/semantics/openAccess2021-10-23T21:41:41Zoai:repositorio.unesp.br:11449/65950Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv H2 and/or H∞-norm model reduction of uncertain discrete-time systems
title H2 and/or H∞-norm model reduction of uncertain discrete-time systems
spellingShingle H2 and/or H∞-norm model reduction of uncertain discrete-time systems
Assuncao, Edvaldo [UNESP]
Algorithms
Control system analysis
Discrete time control systems
Iterative methods
Mathematical models
Optimization
Linear matrix inequalities (LMI)
Model reduction
Uncertain systems
title_short H2 and/or H∞-norm model reduction of uncertain discrete-time systems
title_full H2 and/or H∞-norm model reduction of uncertain discrete-time systems
title_fullStr H2 and/or H∞-norm model reduction of uncertain discrete-time systems
title_full_unstemmed H2 and/or H∞-norm model reduction of uncertain discrete-time systems
title_sort H2 and/or H∞-norm model reduction of uncertain discrete-time systems
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 analysis
Discrete time control systems
Iterative methods
Mathematical models
Optimization
Linear matrix inequalities (LMI)
Model reduction
Uncertain systems
topic Algorithms
Control system analysis
Discrete time control systems
Iterative methods
Mathematical models
Optimization
Linear matrix inequalities (LMI)
Model reduction
Uncertain systems
description This paper addresses the problem of model reduction for uncertain discrete-time systems with convex bounded (polytope type) uncertainty. A reduced order precisely known model is obtained in such a way that the H2 and/or the H∞ guaranteed norm of the error between the original (uncertain) system and the reduced one is minimized. The optimization problems are formulated in terms of coupled (non-convex) LMIs - Linear Matrix Inequalities, being solved through iterative algorithms. 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/ACC.1999.786428
Proceedings of the American Control Conference, v. 6, p. 4466-4470.
0743-1619
http://hdl.handle.net/11449/65950
10.1109/ACC.1999.786428
2-s2.0-0033284564
8755160580142626
url http://dx.doi.org/10.1109/ACC.1999.786428
http://hdl.handle.net/11449/65950
identifier_str_mv Proceedings of the American Control Conference, v. 6, p. 4466-4470.
0743-1619
10.1109/ACC.1999.786428
2-s2.0-0033284564
8755160580142626
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the American Control Conference
0,500
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4466-4470
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_ 1799965332399456256

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