New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1109/ACCESS.2023.3245026 http://hdl.handle.net/11449/249714 |
Resumo: | This paper focuses on the stabilization problem of Takagi-Sugeno fuzzy systems via a sampled-data controller using a fuzzy dependent functional. By employing a property of convex combination, a new approach to deal with the time derivatives of the fuzzy membership functions (FMFs) in the stabilization conditions is proposed, and less conservative conditions are derived in the form of linear matrix inequalities (LMIs). Moreover, the proposed approach introduces a switching function which opens up possibilities to use a switched controller and take advantage of its benefits well known in the literature. Therefore, two sampled-data control strategies are proposed, where the first one is a fuzzy controller and the second is a robust switched controller, that does not require the expressions of the FMFs to implement the control law, which guarantees the robustness of the controlled system in cases where the FMFs depend on uncertain parameters. Finally, the effectiveness of the proposed strategies is verified by two examples. |
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Repositório Institucional da UNESP |
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New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functionalfuzzy dependent Lyapunov-Krasovskii functionallinear matrix inequalities (LMIs)switched sampled-data controlTakagi-sugeno (T-S) fuzzy systemsThis paper focuses on the stabilization problem of Takagi-Sugeno fuzzy systems via a sampled-data controller using a fuzzy dependent functional. By employing a property of convex combination, a new approach to deal with the time derivatives of the fuzzy membership functions (FMFs) in the stabilization conditions is proposed, and less conservative conditions are derived in the form of linear matrix inequalities (LMIs). Moreover, the proposed approach introduces a switching function which opens up possibilities to use a switched controller and take advantage of its benefits well known in the literature. Therefore, two sampled-data control strategies are proposed, where the first one is a fuzzy controller and the second is a robust switched controller, that does not require the expressions of the FMFs to implement the control law, which guarantees the robustness of the controlled system in cases where the FMFs depend on uncertain parameters. Finally, the effectiveness of the proposed strategies is verified by two examples.São Paulo State University (UNESP) Department of Electrical EngineeringSão Paulo State University (UNESP) School of Engineering Department of MathematicsFederal University of Technology-Paraná (UTFPR) Computer Engineering Course Coordination (COENC), PRSão Paulo State University (UNESP) Department of Electrical EngineeringSão Paulo State University (UNESP) School of Engineering Department of MathematicsUniversidade Estadual Paulista (UNESP)Computer Engineering Course Coordination (COENC)Oncoy, Dante J. S. [UNESP]Cardim, Rodrigo [UNESP]Teixeira, Marcelo C. M. [UNESP]Faria, Flavio A. [UNESP]Assuncao, Edvaldo [UNESP]Lazarini, Adalberto Z. N. [UNESP]2023-07-29T16:07:18Z2023-07-29T16:07:18Z2023-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article15390-15403http://dx.doi.org/10.1109/ACCESS.2023.3245026IEEE Access, v. 11, p. 15390-15403.2169-3536http://hdl.handle.net/11449/24971410.1109/ACCESS.2023.32450262-s2.0-85149185372Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE Accessinfo:eu-repo/semantics/openAccess2023-07-29T16:07:18Zoai:repositorio.unesp.br:11449/249714Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T16:07:18Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
title |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
spellingShingle |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional Oncoy, Dante J. S. [UNESP] fuzzy dependent Lyapunov-Krasovskii functional linear matrix inequalities (LMIs) switched sampled-data control Takagi-sugeno (T-S) fuzzy systems |
title_short |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
title_full |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
title_fullStr |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
title_full_unstemmed |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
title_sort |
New Stabilization Conditions for Fuzzy-Based Sampled-Data Control Systems Using a Fuzzy Lyapunov Functional |
author |
Oncoy, Dante J. S. [UNESP] |
author_facet |
Oncoy, Dante J. S. [UNESP] Cardim, Rodrigo [UNESP] Teixeira, Marcelo C. M. [UNESP] Faria, Flavio A. [UNESP] Assuncao, Edvaldo [UNESP] Lazarini, Adalberto Z. N. [UNESP] |
author_role |
author |
author2 |
Cardim, Rodrigo [UNESP] Teixeira, Marcelo C. M. [UNESP] Faria, Flavio A. [UNESP] Assuncao, Edvaldo [UNESP] Lazarini, Adalberto Z. N. [UNESP] |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Computer Engineering Course Coordination (COENC) |
dc.contributor.author.fl_str_mv |
Oncoy, Dante J. S. [UNESP] Cardim, Rodrigo [UNESP] Teixeira, Marcelo C. M. [UNESP] Faria, Flavio A. [UNESP] Assuncao, Edvaldo [UNESP] Lazarini, Adalberto Z. N. [UNESP] |
dc.subject.por.fl_str_mv |
fuzzy dependent Lyapunov-Krasovskii functional linear matrix inequalities (LMIs) switched sampled-data control Takagi-sugeno (T-S) fuzzy systems |
topic |
fuzzy dependent Lyapunov-Krasovskii functional linear matrix inequalities (LMIs) switched sampled-data control Takagi-sugeno (T-S) fuzzy systems |
description |
This paper focuses on the stabilization problem of Takagi-Sugeno fuzzy systems via a sampled-data controller using a fuzzy dependent functional. By employing a property of convex combination, a new approach to deal with the time derivatives of the fuzzy membership functions (FMFs) in the stabilization conditions is proposed, and less conservative conditions are derived in the form of linear matrix inequalities (LMIs). Moreover, the proposed approach introduces a switching function which opens up possibilities to use a switched controller and take advantage of its benefits well known in the literature. Therefore, two sampled-data control strategies are proposed, where the first one is a fuzzy controller and the second is a robust switched controller, that does not require the expressions of the FMFs to implement the control law, which guarantees the robustness of the controlled system in cases where the FMFs depend on uncertain parameters. Finally, the effectiveness of the proposed strategies is verified by two examples. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T16:07:18Z 2023-07-29T16:07:18Z 2023-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1109/ACCESS.2023.3245026 IEEE Access, v. 11, p. 15390-15403. 2169-3536 http://hdl.handle.net/11449/249714 10.1109/ACCESS.2023.3245026 2-s2.0-85149185372 |
url |
http://dx.doi.org/10.1109/ACCESS.2023.3245026 http://hdl.handle.net/11449/249714 |
identifier_str_mv |
IEEE Access, v. 11, p. 15390-15403. 2169-3536 10.1109/ACCESS.2023.3245026 2-s2.0-85149185372 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
IEEE Access |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
15390-15403 |
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_ |
1799965746735874048 |