NASH game and mixed H2/H∞ control

Detalhes bibliográficos
Autor(a) principal: de, Helenice [UNESP]
Data de Publicação: 1997
Outros Autores: Sales, Roberto M. [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.1997.612123
http://hdl.handle.net/11449/130522
Resumo: In this work a Nonzero-Sum NASH game related to the H2 and H∞ control problems is formulated in the context of convex optimization theory. The variables of the game are limiting bounds for the H2 and H∞ norms, and the final controller is obtained as an equilibrium solution, which minimizes the `sensitivity of each norm' with respect to the other. The state feedback problem is considered and illustrated by numerical examples.
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spelling NASH game and mixed H2/H∞ controlFeedbackGame theoryOptimizationProblem solvingConvex optimization problemOptimal control systemsIn this work a Nonzero-Sum NASH game related to the H2 and H∞ control problems is formulated in the context of convex optimization theory. The variables of the game are limiting bounds for the H2 and H∞ norms, and the final controller is obtained as an equilibrium solution, which minimizes the `sensitivity of each norm' with respect to the other. The state feedback problem is considered and illustrated by numerical examples.UNESP,DEPT MATH,FEIS,SAO PAULO,BRAZILUNESP,DEPT MATH,FEIS,SAO PAULO,BRAZILInstitute of Electrical and Electronics Engineers (IEEE)Universidade Estadual Paulista (Unesp)de, Helenice [UNESP]Sales, Roberto M. [UNESP]2014-05-27T11:18:10Z2014-05-27T11:18:10Z1997-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject3521-3525http://dx.doi.org/10.1109/ACC.1997.612123Proceedings of the American Control Conference, v. 5, p. 3521-3525.0743-1619http://hdl.handle.net/11449/13052210.1109/ACC.1997.612123WOS:A1997BJ29B00755Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the American Control Conference0,500info:eu-repo/semantics/openAccess2024-07-10T15:42:06Zoai:repositorio.unesp.br:11449/130522Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:49:01.707471Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv NASH game and mixed H2/H∞ control
title NASH game and mixed H2/H∞ control
spellingShingle NASH game and mixed H2/H∞ control
de, Helenice [UNESP]
Feedback
Game theory
Optimization
Problem solving
Convex optimization problem
Optimal control systems
title_short NASH game and mixed H2/H∞ control
title_full NASH game and mixed H2/H∞ control
title_fullStr NASH game and mixed H2/H∞ control
title_full_unstemmed NASH game and mixed H2/H∞ control
title_sort NASH game and mixed H2/H∞ control
author de, Helenice [UNESP]
author_facet de, Helenice [UNESP]
Sales, Roberto M. [UNESP]
author_role author
author2 Sales, Roberto M. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv de, Helenice [UNESP]
Sales, Roberto M. [UNESP]
dc.subject.por.fl_str_mv Feedback
Game theory
Optimization
Problem solving
Convex optimization problem
Optimal control systems
topic Feedback
Game theory
Optimization
Problem solving
Convex optimization problem
Optimal control systems
description In this work a Nonzero-Sum NASH game related to the H2 and H∞ control problems is formulated in the context of convex optimization theory. The variables of the game are limiting bounds for the H2 and H∞ norms, and the final controller is obtained as an equilibrium solution, which minimizes the `sensitivity of each norm' with respect to the other. The state feedback problem is considered and illustrated by numerical examples.
publishDate 1997
dc.date.none.fl_str_mv 1997-01-01
2014-05-27T11:18:10Z
2014-05-27T11:18:10Z
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.1997.612123
Proceedings of the American Control Conference, v. 5, p. 3521-3525.
0743-1619
http://hdl.handle.net/11449/130522
10.1109/ACC.1997.612123
WOS:A1997BJ29B00755
url http://dx.doi.org/10.1109/ACC.1997.612123
http://hdl.handle.net/11449/130522
identifier_str_mv Proceedings of the American Control Conference, v. 5, p. 3521-3525.
0743-1619
10.1109/ACC.1997.612123
WOS:A1997BJ29B00755
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 3521-3525
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers (IEEE)
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers (IEEE)
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_ 1808128706359590912

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