Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models

In the last decades, gain-scheduling control techniques have consolidated as an efficient answer to analysis and synthesis problems for non-linear systems. Among the approaches proposed in the literature, the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms have proved to be successfu...

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Autores: Rotondo, Damiano, Puig, Vicenç, Nejjari, Fatiha, Witczak, Marcin
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/127516
Acceso en línea:http://hdl.handle.net/10261/127516
Access Level:acceso abierto
Palabra clave:Modeling
Takagi–Sugeno (TS) fuzzy systems
Linear parameter varying (LPV) systems
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spelling Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV modelsRotondo, DamianoPuig, VicençNejjari, FatihaWitczak, MarcinModelingTakagi–Sugeno (TS) fuzzy systemsLinear parameter varying (LPV) systemsIn the last decades, gain-scheduling control techniques have consolidated as an efficient answer to analysis and synthesis problems for non-linear systems. Among the approaches proposed in the literature, the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms have proved to be successful in dealing with the different trials that the analyzer, or the designer, of a gain-scheduled control system has to face. Despite the strong similarities between the two paradigms, research on LPV and TS systems has been performed in an independent way and some results that could be useful for both paradigms were obtained only for one of them. However, in recent works, some clues that there is a very close connection between LPV and TS worlds have been presented. The present paper openly addresses the presence of strong analogies between LPV and TS models, in an attempt to establish a bridge between these two worlds, so far considered different. In particular, this paper addresses the modeling problem, presenting two methods for the automated generation of LPV and TS systems, and introducing some measures in order to compare the obtained models. A mathematical example is used to illustrate the proposed methods.This work has been funded by the Spanish Ministry of Science and Technology through the projects CICYT SHERECS (Ref. DPI2011-26243) and CICYT ECOCIS (Ref. DPI2013-48243-C2-1-R), by the European Commission through contract i-Sense FP7-ICT-2009-6-270428, by UPC through the grant FPI-UPC E-01104, by AGAUR through the contracts FI-DGR 2013 (Ref. 2013FIB00218) and FI-DGR 2014 (Ref. 2014FI_B1 00172), and by the DGR of Generalitat de Catalunya (SAC group Ref. 2014/SGR/374). The work was also supported by the National Science Centre in Poland under the grant 2013/11/B/ST7/01110.Peer ReviewedElsevierComisión Interministerial de Ciencia y Tecnología, CICYT (España)European CommissionUniversitat Politècnica de CatalunyaMinisterio de Ciencia y Tecnología (España)Generalitat de CatalunyaNational Science Centre (Poland)Ministerio de Economía y Competitividad (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2016201620152016info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/127516reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/EC/FP7/270428info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2013-48243-C2-1-Rhttp://dx.doi.org/10.1016/j.fss.2015.02.002Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1275162026-05-22T06:33:51Z
dc.title.none.fl_str_mv Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
title Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
spellingShingle Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
Rotondo, Damiano
Modeling
Takagi–Sugeno (TS) fuzzy systems
Linear parameter varying (LPV) systems
title_short Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
title_full Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
title_fullStr Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
title_full_unstemmed Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
title_sort Automated generation and comparison of Takagi-Sugeno and polytopic quasi-LPV models
dc.creator.none.fl_str_mv Rotondo, Damiano
Puig, Vicenç
Nejjari, Fatiha
Witczak, Marcin
author Rotondo, Damiano
author_facet Rotondo, Damiano
Puig, Vicenç
Nejjari, Fatiha
Witczak, Marcin
author_role author
author2 Puig, Vicenç
Nejjari, Fatiha
Witczak, Marcin
author2_role author
author
author
dc.contributor.none.fl_str_mv Comisión Interministerial de Ciencia y Tecnología, CICYT (España)
European Commission
Universitat Politècnica de Catalunya
Ministerio de Ciencia y Tecnología (España)
Generalitat de Catalunya
National Science Centre (Poland)
Ministerio de Economía y Competitividad (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Modeling
Takagi–Sugeno (TS) fuzzy systems
Linear parameter varying (LPV) systems
topic Modeling
Takagi–Sugeno (TS) fuzzy systems
Linear parameter varying (LPV) systems
description In the last decades, gain-scheduling control techniques have consolidated as an efficient answer to analysis and synthesis problems for non-linear systems. Among the approaches proposed in the literature, the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms have proved to be successful in dealing with the different trials that the analyzer, or the designer, of a gain-scheduled control system has to face. Despite the strong similarities between the two paradigms, research on LPV and TS systems has been performed in an independent way and some results that could be useful for both paradigms were obtained only for one of them. However, in recent works, some clues that there is a very close connection between LPV and TS worlds have been presented. The present paper openly addresses the presence of strong analogies between LPV and TS models, in an attempt to establish a bridge between these two worlds, so far considered different. In particular, this paper addresses the modeling problem, presenting two methods for the automated generation of LPV and TS systems, and introducing some measures in order to compare the obtained models. A mathematical example is used to illustrate the proposed methods.
publishDate 2015
dc.date.none.fl_str_mv 2015
2016
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/127516
url http://hdl.handle.net/10261/127516
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/EC/FP7/270428
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2013-48243-C2-1-R
http://dx.doi.org/10.1016/j.fss.2015.02.002
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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