On the consistency of hysteresis models

Hysteresis is a nonlinear behavior encountered in a wide variety of processes including biology, optics, electronics, ferroelectricity, magnetism, mechanics, structures, among other areas. One of the main features of hysteresis processes is the property of consistency formalized in [52]. The class o...

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Detalhes bibliográficos
Autor: Fuad Mohammad Naser, Mohammad
Formato: tesis doctoral
Fecha de publicación:2014
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/96086
Acesso em linha:https://hdl.handle.net/2117/96086
https://dx.doi.org/10.5821/dissertation-2117-96086
Access Level:acceso abierto
Palavra-chave:Histèresi -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling On the consistency of hysteresis modelsFuad Mohammad Naser, MohammadHistèresi -- Models matemàticsÀrees temàtiques de la UPC::Matemàtiques i estadísticaHysteresis is a nonlinear behavior encountered in a wide variety of processes including biology, optics, electronics, ferroelectricity, magnetism, mechanics, structures, among other areas. One of the main features of hysteresis processes is the property of consistency formalized in [52]. The class of operators that are considered in [52] consists of the causal ones, with the additional condition that a constant input leads to a constant output. For this class of systems, consistency has been defined formally. This property is useful in system modeling and identification as it limits the search for the system's parameters to those regions where consistency holds. The thesis applies the concepts introduced in [52] to some hysteresis models, namely LuGre model and Duhem model. The aim of the thesis is to derive necessary conditions and sufficient one for consistency (or/and strong consistency) to hold. For the LuGre model, the consistency and the strong consistency are studied under minimal conditions in Chapter 2. As a by-product of this study, explicit expressions are derived for the hysteresis. Such expression may be useful for identification purposes as shown in [53]. A classification of the possible Duhem models in terms of their consistency is carried out in Chapter 3. This study shows that a parameter’s should be one for the Duhem model to be compatible with a hysteresis behavior.La histéresis es un fenómeno nolineal encontrado en varios procesos como biología, óptica, electrónica, ferroelectricidad, magnetismo, mecánica, estructuras, así como en otras áreas. Una de las características de los sistemas con histéresis es la propiedad de consistencia formalizada en [52]. La clase de operadores considerados en [52] consiste en aquellos que son causales, con la condición adicional que a una entrada constante corresponda una salida constante. Para esta clase d sistemas, la consitencia ha sido definida formalmente. Esta propiedad es útil en modelado e identificación dado que limita la búsqueda de parámetros a aquellas regiones donde la consistencia es válida. * Esta tesis aplica los conceptos introducidos en [52] a algunos modelos de histéresis, más precisamente al modelo de LuGre y al modelo de Duhem. El objetivo de esta tesis es encontrar condiciones necesarias y condiciones suficientes para que se satisfaga la consistencia (o/y la consitencia fuerte). * Para el modelo de LuGre, la consistencia "fuerte" se estudia en el capítulo 2 bajo condiciones mínimas. Como resultado de este estudio, se hallan fórmulas explícitas del lazo de histéresis. Tales fórmulas podrían ser de utilidad para tareas de identificación como se demuestra en [53]. * El capítulo 3 de la tesis presenta una clasificación de los modelos de Duhem posibles en términos de su consistencia. Este estudio muestra que hay un parámetro que tiene que valer uno para que el modelo sea compatible con un comportamiento histeréticoUniversitat Politècnica de CatalunyaIkhouane, Fayçal20142014-01-3020162016-11-09doctoral thesishttp://purl.org/coar/resource_type/c_db06VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/doctoralThesisapplication/pdfhttps://hdl.handle.net/2117/96086https://dx.doi.org/10.5821/dissertation-2117-96086reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/960862026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the consistency of hysteresis models
title On the consistency of hysteresis models
spellingShingle On the consistency of hysteresis models
Fuad Mohammad Naser, Mohammad
Histèresi -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short On the consistency of hysteresis models
title_full On the consistency of hysteresis models
title_fullStr On the consistency of hysteresis models
title_full_unstemmed On the consistency of hysteresis models
title_sort On the consistency of hysteresis models
dc.creator.none.fl_str_mv Fuad Mohammad Naser, Mohammad
author Fuad Mohammad Naser, Mohammad
author_facet Fuad Mohammad Naser, Mohammad
author_role author
dc.contributor.none.fl_str_mv Ikhouane, Fayçal
dc.subject.none.fl_str_mv Histèresi -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Histèresi -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística
description Hysteresis is a nonlinear behavior encountered in a wide variety of processes including biology, optics, electronics, ferroelectricity, magnetism, mechanics, structures, among other areas. One of the main features of hysteresis processes is the property of consistency formalized in [52]. The class of operators that are considered in [52] consists of the causal ones, with the additional condition that a constant input leads to a constant output. For this class of systems, consistency has been defined formally. This property is useful in system modeling and identification as it limits the search for the system's parameters to those regions where consistency holds. The thesis applies the concepts introduced in [52] to some hysteresis models, namely LuGre model and Duhem model. The aim of the thesis is to derive necessary conditions and sufficient one for consistency (or/and strong consistency) to hold. For the LuGre model, the consistency and the strong consistency are studied under minimal conditions in Chapter 2. As a by-product of this study, explicit expressions are derived for the hysteresis. Such expression may be useful for identification purposes as shown in [53]. A classification of the possible Duhem models in terms of their consistency is carried out in Chapter 3. This study shows that a parameter’s should be one for the Duhem model to be compatible with a hysteresis behavior.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-30
2016
2016-11-09
dc.type.none.fl_str_mv doctoral thesis
http://purl.org/coar/resource_type/c_db06
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/96086
https://dx.doi.org/10.5821/dissertation-2117-96086
url https://hdl.handle.net/2117/96086
https://dx.doi.org/10.5821/dissertation-2117-96086
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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