On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions

Detalhes bibliográficos
Autor(a) principal: De Oliveira, Diogo R.
Data de Publicação: 2018
Outros Autores: Dos Santos, Gilberto R., Teixeira, Marcelo C.M. [UNESP], Assunção, Edvaldo [UNESP], Cardim, Rodrigo [UNESP], Alves, Uiliam Nelson L.T.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/FUZZ-IEEE.2018.8491671
http://hdl.handle.net/11449/190068
Resumo: A switched control design for a class of uncertain nonlinear discrete-time systems is proposed in this manuscript. The proposed procedure uses Takagi-Sugeno fuzzy models to describe the nonlinear systems and the membership functions can depend on immeasurable premise variables or uncertain bounded parameters. Based on a non-quadratic Lyapunov function, the design conditions are given in terms of Linear Matrix Inequalities (LMIs) and ensure asymptotic stability to the controlled system. In addition, a procedure that uses a linear time-invariant controller is presented. A theoretical analysis proves that if the LMI stability conditions for the closed-loop system with a time-invariant controller hold, then the LMI stability conditions, obtained using the switched control law, also hold. The both procedures do not use the membership functions to implement the control law. Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature.
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spelling On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functionsLinear matrix inequality (LMI)Switched control of discrete-time systemsTakagi-Sugeno (TS) fuzzy modelUncertain membership functionsUncertain nonlinear systemA switched control design for a class of uncertain nonlinear discrete-time systems is proposed in this manuscript. The proposed procedure uses Takagi-Sugeno fuzzy models to describe the nonlinear systems and the membership functions can depend on immeasurable premise variables or uncertain bounded parameters. Based on a non-quadratic Lyapunov function, the design conditions are given in terms of Linear Matrix Inequalities (LMIs) and ensure asymptotic stability to the controlled system. In addition, a procedure that uses a linear time-invariant controller is presented. A theoretical analysis proves that if the LMI stability conditions for the closed-loop system with a time-invariant controller hold, then the LMI stability conditions, obtained using the switched control law, also hold. The both procedures do not use the membership functions to implement the control law. Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)IFMS Federal Institute of Education Science and Technology of Mato Grosso do Sul Campus of Três Lagoas TrêsUFMS Federal University of Mato Grosso do Sul Campus of PantanalUNESP São Paulo State University School of Engineering Department of Electrical EngineeringIFPR - Federal Institute of Education Science and Technology of Paraná Campus of JacarezinhoUNESP São Paulo State University School of Engineering Department of Electrical EngineeringFAPESP: 2011/17610-0Science and Technology of Mato Grosso do SulUniversidade Federal de Mato Grosso do Sul (UFMS)Universidade Estadual Paulista (Unesp)Science and Technology of ParanáDe Oliveira, Diogo R.Dos Santos, Gilberto R.Teixeira, Marcelo C.M. [UNESP]Assunção, Edvaldo [UNESP]Cardim, Rodrigo [UNESP]Alves, Uiliam Nelson L.T.2019-10-06T17:01:14Z2019-10-06T17:01:14Z2018-10-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1109/FUZZ-IEEE.2018.8491671IEEE International Conference on Fuzzy Systems, v. 2018-July.1098-7584http://hdl.handle.net/11449/19006810.1109/FUZZ-IEEE.2018.84916712-s2.0-8506045715450620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE International Conference on Fuzzy Systemsinfo:eu-repo/semantics/openAccess2021-10-23T19:49:54Zoai:repositorio.unesp.br:11449/190068Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T19:49:54Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
title On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
spellingShingle On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
De Oliveira, Diogo R.
Linear matrix inequality (LMI)
Switched control of discrete-time systems
Takagi-Sugeno (TS) fuzzy model
Uncertain membership functions
Uncertain nonlinear system
title_short On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
title_full On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
title_fullStr On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
title_full_unstemmed On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
title_sort On switched control of discrete-time Takagi-Sugeno fuzzy systems with unknown membership functions
author De Oliveira, Diogo R.
author_facet De Oliveira, Diogo R.
Dos Santos, Gilberto R.
Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Alves, Uiliam Nelson L.T.
author_role author
author2 Dos Santos, Gilberto R.
Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Alves, Uiliam Nelson L.T.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Science and Technology of Mato Grosso do Sul
Universidade Federal de Mato Grosso do Sul (UFMS)
Universidade Estadual Paulista (Unesp)
Science and Technology of Paraná
dc.contributor.author.fl_str_mv De Oliveira, Diogo R.
Dos Santos, Gilberto R.
Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Alves, Uiliam Nelson L.T.
dc.subject.por.fl_str_mv Linear matrix inequality (LMI)
Switched control of discrete-time systems
Takagi-Sugeno (TS) fuzzy model
Uncertain membership functions
Uncertain nonlinear system
topic Linear matrix inequality (LMI)
Switched control of discrete-time systems
Takagi-Sugeno (TS) fuzzy model
Uncertain membership functions
Uncertain nonlinear system
description A switched control design for a class of uncertain nonlinear discrete-time systems is proposed in this manuscript. The proposed procedure uses Takagi-Sugeno fuzzy models to describe the nonlinear systems and the membership functions can depend on immeasurable premise variables or uncertain bounded parameters. Based on a non-quadratic Lyapunov function, the design conditions are given in terms of Linear Matrix Inequalities (LMIs) and ensure asymptotic stability to the controlled system. In addition, a procedure that uses a linear time-invariant controller is presented. A theoretical analysis proves that if the LMI stability conditions for the closed-loop system with a time-invariant controller hold, then the LMI stability conditions, obtained using the switched control law, also hold. The both procedures do not use the membership functions to implement the control law. Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature.
publishDate 2018
dc.date.none.fl_str_mv 2018-10-12
2019-10-06T17:01:14Z
2019-10-06T17:01:14Z
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/FUZZ-IEEE.2018.8491671
IEEE International Conference on Fuzzy Systems, v. 2018-July.
1098-7584
http://hdl.handle.net/11449/190068
10.1109/FUZZ-IEEE.2018.8491671
2-s2.0-85060457154
5062087380571462
0000-0002-1072-3814
url http://dx.doi.org/10.1109/FUZZ-IEEE.2018.8491671
http://hdl.handle.net/11449/190068
identifier_str_mv IEEE International Conference on Fuzzy Systems, v. 2018-July.
1098-7584
10.1109/FUZZ-IEEE.2018.8491671
2-s2.0-85060457154
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
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