On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device

This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is nonlinear with respect to the optimizing variables, is introduced, and the corresp...

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Detalles Bibliográficos
Autores: Vargas, A.N., Costa, E.F., Do Val, J.B.R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/516
Acceso en línea:http://hdl.handle.net/20.500.11824/516
Access Level:acceso abierto
Palabra clave:control of DC Motor
Markov jump linear systems
stochastic systems
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spelling On the control of Markov jump linear systems with no mode observation: Application to a DC Motor deviceVargas, A.N.Costa, E.F.Do Val, J.B.R.control of DC MotorMarkov jump linear systemsstochastic systemsThis paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is nonlinear with respect to the optimizing variables, is introduced, and the corresponding solution is obtained through a variational convergent method. We illustrate the practical usefulness of the derived approach by applying it in the control speed of a real DC Motor device subject to abrupt power failures.201720172013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/516reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84878019682&doi=10.1002%2frnc.2911&partnerID=40&md5=27a83d7358c6c98b316e13e3bf1f4919Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/5162026-06-19T12:47:47Z
dc.title.none.fl_str_mv On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
title On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
spellingShingle On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
Vargas, A.N.
control of DC Motor
Markov jump linear systems
stochastic systems
title_short On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
title_full On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
title_fullStr On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
title_full_unstemmed On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
title_sort On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
dc.creator.none.fl_str_mv Vargas, A.N.
Costa, E.F.
Do Val, J.B.R.
author Vargas, A.N.
author_facet Vargas, A.N.
Costa, E.F.
Do Val, J.B.R.
author_role author
author2 Costa, E.F.
Do Val, J.B.R.
author2_role author
author
dc.subject.none.fl_str_mv control of DC Motor
Markov jump linear systems
stochastic systems
topic control of DC Motor
Markov jump linear systems
stochastic systems
description This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is nonlinear with respect to the optimizing variables, is introduced, and the corresponding solution is obtained through a variational convergent method. We illustrate the practical usefulness of the derived approach by applying it in the control speed of a real DC Motor device subject to abrupt power failures.
publishDate 2013
dc.date.none.fl_str_mv 2013
2017
2017
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dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/516
url http://hdl.handle.net/20.500.11824/516
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878019682&doi=10.1002%2frnc.2911&partnerID=40&md5=27a83d7358c6c98b316e13e3bf1f4919
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
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