Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1109/FUZZ48607.2020.9177568 http://hdl.handle.net/11449/202080 |
Resumo: | This paper addresses the local stabilization problem and the computation of invariant subsets of the domain of attraction for uncertain nonlinear discrete-time systems. The proposed procedures use Takagi-Sugeno (T-S) fuzzy models that have uncertain membership functions and known local linear models. Based on a non-quadratic Lyapunov function, the proposed method uses a switched control law and the design conditions are given in terms of a optimization problem subject to Linear Matrix Inequalities (LMIs) constraints. The procedure provides a new and effective way to enlarge the estimation of the domain of attraction (DOA). Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature. |
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Repositório Institucional da UNESP |
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Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attractionDiscrete-time uncertain nonlinear systemDomain of attraction (DOA)Linear matrix inequality (LMI)Switched controlTakagi-Sugeno (T-S) fuzzy modelUncertain membership functionsThis paper addresses the local stabilization problem and the computation of invariant subsets of the domain of attraction for uncertain nonlinear discrete-time systems. The proposed procedures use Takagi-Sugeno (T-S) fuzzy models that have uncertain membership functions and known local linear models. Based on a non-quadratic Lyapunov function, the proposed method uses a switched control law and the design conditions are given in terms of a optimization problem subject to Linear Matrix Inequalities (LMIs) constraints. The procedure provides a new and effective way to enlarge the estimation of the domain of attraction (DOA). Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature.UFMS - Federal University of Mato Grosso Do sul Campus of PantanalIFMS - Federal Institute of Education Science and Technology of Mato Grosso Do sul Campus Três LagoasUNESP - São Paulo State University School of EngineeringUNESP - São Paulo State University School of EngineeringUniversidade Federal de Mato Grosso do Sul (UFMS)Science and Technology of Mato Grosso Do sulUniversidade Estadual Paulista (Unesp)Dos Santos, Gilberto R.De Oliveira, Diogo R.Teixeira, Marcelo C. M. [UNESP]Assuncao, Edvaldo [UNESP]Cardim, Rodrigo [UNESP]Lazarini, Adalberto Z. N. [UNESP]2020-12-12T02:49:20Z2020-12-12T02:49:20Z2020-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1109/FUZZ48607.2020.9177568IEEE International Conference on Fuzzy Systems, v. 2020-July.1098-7584http://hdl.handle.net/11449/20208010.1109/FUZZ48607.2020.91775682-s2.0-8509049792850620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE International Conference on Fuzzy Systemsinfo:eu-repo/semantics/openAccess2024-07-04T19:11:27Zoai:repositorio.unesp.br:11449/202080Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:24:02.712372Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
title |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
spellingShingle |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction Dos Santos, Gilberto R. Discrete-time uncertain nonlinear system Domain of attraction (DOA) Linear matrix inequality (LMI) Switched control Takagi-Sugeno (T-S) fuzzy model Uncertain membership functions |
title_short |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
title_full |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
title_fullStr |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
title_full_unstemmed |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
title_sort |
Switched control for local stabilization of discrete-time uncertain takagi-sugeno fuzzy systems with relaxed estimate of the domain of attraction |
author |
Dos Santos, Gilberto R. |
author_facet |
Dos Santos, Gilberto R. De Oliveira, Diogo R. Teixeira, Marcelo C. M. [UNESP] Assuncao, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Lazarini, Adalberto Z. N. [UNESP] |
author_role |
author |
author2 |
De Oliveira, Diogo R. Teixeira, Marcelo C. M. [UNESP] Assuncao, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Lazarini, Adalberto Z. N. [UNESP] |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Mato Grosso do Sul (UFMS) Science and Technology of Mato Grosso Do sul Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Dos Santos, Gilberto R. De Oliveira, Diogo R. Teixeira, Marcelo C. M. [UNESP] Assuncao, Edvaldo [UNESP] Cardim, Rodrigo [UNESP] Lazarini, Adalberto Z. N. [UNESP] |
dc.subject.por.fl_str_mv |
Discrete-time uncertain nonlinear system Domain of attraction (DOA) Linear matrix inequality (LMI) Switched control Takagi-Sugeno (T-S) fuzzy model Uncertain membership functions |
topic |
Discrete-time uncertain nonlinear system Domain of attraction (DOA) Linear matrix inequality (LMI) Switched control Takagi-Sugeno (T-S) fuzzy model Uncertain membership functions |
description |
This paper addresses the local stabilization problem and the computation of invariant subsets of the domain of attraction for uncertain nonlinear discrete-time systems. The proposed procedures use Takagi-Sugeno (T-S) fuzzy models that have uncertain membership functions and known local linear models. Based on a non-quadratic Lyapunov function, the proposed method uses a switched control law and the design conditions are given in terms of a optimization problem subject to Linear Matrix Inequalities (LMIs) constraints. The procedure provides a new and effective way to enlarge the estimation of the domain of attraction (DOA). Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T02:49:20Z 2020-12-12T02:49:20Z 2020-07-01 |
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/FUZZ48607.2020.9177568 IEEE International Conference on Fuzzy Systems, v. 2020-July. 1098-7584 http://hdl.handle.net/11449/202080 10.1109/FUZZ48607.2020.9177568 2-s2.0-85090497928 5062087380571462 0000-0002-1072-3814 |
url |
http://dx.doi.org/10.1109/FUZZ48607.2020.9177568 http://hdl.handle.net/11449/202080 |
identifier_str_mv |
IEEE International Conference on Fuzzy Systems, v. 2020-July. 1098-7584 10.1109/FUZZ48607.2020.9177568 2-s2.0-85090497928 5062087380571462 0000-0002-1072-3814 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
IEEE International Conference on Fuzzy Systems |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808128644044816384 |