H2 and/or H∞-norm model reduction of uncertain discrete-time systems
Autor(a) principal: | |
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Data de Publicação: | 1999 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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/openAccess2024-07-04T19:11:45Zoai:repositorio.unesp.br:11449/65950Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:42:29.618955Repositório 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_ |
1808129238183706624 |