Nonlinear output feedback control under gain-scheduling: invariant set approach

[EN] The objective of this paper is to present an efficient methodology for synthesizing control systems for nonlinear systems subjected to bounded external disturbances. Nonlinear systems can be embedded onto LPV systems (quasi-LPV formalism) but said embedding depends on the modelling region; mode...

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Autores: González Sorribes, Antonio|||0000-0003-2690-0472, Sala, Antonio|||0000-0002-5691-8772, Bernal, Miguel
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::8216df2018b32e8020fbf074929a17f6
Acceso en línea:https://riunet.upv.es/handle/10251/234709
Access Level:acceso abierto
Palabra clave:Non-Linear Control Systems
Output feedback control
Optimal control
Linear Matrix Inequalities
Invariant sets
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spelling Nonlinear output feedback control under gain-scheduling: invariant set approachGonzález Sorribes, Antonio|||0000-0003-2690-0472Sala, Antonio|||0000-0002-5691-8772Bernal, MiguelNon-Linear Control SystemsOutput feedback controlOptimal controlLinear Matrix InequalitiesInvariant sets[EN] The objective of this paper is to present an efficient methodology for synthesizing control systems for nonlinear systems subjected to bounded external disturbances. Nonlinear systems can be embedded onto LPV systems (quasi-LPV formalism) but said embedding depends on the modelling region; modelling region depends on which positively invariant sets can be proved, thus an iterative LMI approach ensues, to be explored in this work. A gain-scheduled control approach is proposed, where the control parameters are designed using iterative Linear Matrix Inequalities (LMIs) to approximate the smallest possible invariant set containing the origin. Control design conditions are derived by applying the Lyapunov method in conjunction with the H-1 star norm, and appropriately defined multipliers. A numerical example is provided to demonstrate the proposed methodology.This work has been supported by the Project SIECMA, Grant PID2023-146747NB-C21 funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU, and ITSON PROFAPI Project 2024-0008, the ITSON Division for Engineering and Technology via sabbatical funding.ElsevierDepartamento de Ingeniería de Sistemas y AutomáticaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Automática e Informática IndustrialEscuela Técnica Superior de Ingeniería IndustrialAGENCIA ESTATAL DE INVESTIGACIONEuropean Regional Development FundRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/234709reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2023-146747NB-C21 CONTROL OPTIMO DE SISTEMAS MULTI-AGENTE ANTE INCERTIDUMBRE Y RETARDOSopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:dnet:riunet______::8216df2018b32e8020fbf074929a17f62026-06-13T07:49:27Z
dc.title.none.fl_str_mv Nonlinear output feedback control under gain-scheduling: invariant set approach
title Nonlinear output feedback control under gain-scheduling: invariant set approach
spellingShingle Nonlinear output feedback control under gain-scheduling: invariant set approach
González Sorribes, Antonio|||0000-0003-2690-0472
Non-Linear Control Systems
Output feedback control
Optimal control
Linear Matrix Inequalities
Invariant sets
title_short Nonlinear output feedback control under gain-scheduling: invariant set approach
title_full Nonlinear output feedback control under gain-scheduling: invariant set approach
title_fullStr Nonlinear output feedback control under gain-scheduling: invariant set approach
title_full_unstemmed Nonlinear output feedback control under gain-scheduling: invariant set approach
title_sort Nonlinear output feedback control under gain-scheduling: invariant set approach
dc.creator.none.fl_str_mv González Sorribes, Antonio|||0000-0003-2690-0472
Sala, Antonio|||0000-0002-5691-8772
Bernal, Miguel
author González Sorribes, Antonio|||0000-0003-2690-0472
author_facet González Sorribes, Antonio|||0000-0003-2690-0472
Sala, Antonio|||0000-0002-5691-8772
Bernal, Miguel
author_role author
author2 Sala, Antonio|||0000-0002-5691-8772
Bernal, Miguel
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Ingeniería de Sistemas y Automática
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Automática e Informática Industrial
Escuela Técnica Superior de Ingeniería Industrial
AGENCIA ESTATAL DE INVESTIGACION
European Regional Development Fund
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Non-Linear Control Systems
Output feedback control
Optimal control
Linear Matrix Inequalities
Invariant sets
topic Non-Linear Control Systems
Output feedback control
Optimal control
Linear Matrix Inequalities
Invariant sets
description [EN] The objective of this paper is to present an efficient methodology for synthesizing control systems for nonlinear systems subjected to bounded external disturbances. Nonlinear systems can be embedded onto LPV systems (quasi-LPV formalism) but said embedding depends on the modelling region; modelling region depends on which positively invariant sets can be proved, thus an iterative LMI approach ensues, to be explored in this work. A gain-scheduled control approach is proposed, where the control parameters are designed using iterative Linear Matrix Inequalities (LMIs) to approximate the smallest possible invariant set containing the origin. Control design conditions are derived by applying the Lyapunov method in conjunction with the H-1 star norm, and appropriately defined multipliers. A numerical example is provided to demonstrate the proposed methodology.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/234709
url https://riunet.upv.es/handle/10251/234709
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2023-146747NB-C21 CONTROL OPTIMO DE SISTEMAS MULTI-AGENTE ANTE INCERTIDUMBRE Y RETARDOS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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