Analog circuit design and optimal synchronization of a modified Rayleigh system
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s11071-016-2694-4 http://hdl.handle.net/11449/172648 |
Resumo: | This paper addresses the problem of optimization of the synchronization of a chaotic modified Rayleigh system. We first introduce a four-dimensional autonomous chaotic system which is obtained by the modification of a two-dimensional Rayleigh system. Some basic dynamical properties and behaviors of this system are investigated. An appropriate electronic circuit (analog simulator) is proposed for the investigation of the dynamical behavior of the proposed system. Correspondences are established between the coefficients of the system model and the components of the electronic circuit. Furthermore, we propose an optimal robust adaptive feedback which accomplishes the synchronization of two modified Rayleigh systems using the controllability functions method. The advantage of the proposed scheme is that it takes into account the energy wasted by feedback coupling and the closed loop performance on synchronization. Also, a finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master–slave controller system is also presented to show the feasibility of the proposed scheme. |
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Repositório Institucional da UNESP |
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Analog circuit design and optimal synchronization of a modified Rayleigh systemChaos synchronizationControllability functionModified Rayleigh systemOptimal feedback controlPspice analog circuit implementationThis paper addresses the problem of optimization of the synchronization of a chaotic modified Rayleigh system. We first introduce a four-dimensional autonomous chaotic system which is obtained by the modification of a two-dimensional Rayleigh system. Some basic dynamical properties and behaviors of this system are investigated. An appropriate electronic circuit (analog simulator) is proposed for the investigation of the dynamical behavior of the proposed system. Correspondences are established between the coefficients of the system model and the components of the electronic circuit. Furthermore, we propose an optimal robust adaptive feedback which accomplishes the synchronization of two modified Rayleigh systems using the controllability functions method. The advantage of the proposed scheme is that it takes into account the energy wasted by feedback coupling and the closed loop performance on synchronization. Also, a finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master–slave controller system is also presented to show the feasibility of the proposed scheme.Laboratory of Electronics and Signals Processing Department of Physics Faculty of Science University of Dschang, P.O. Box 67Nuclear Technology Section Institute of Geological and Mining Research, P.O. Box 4110Laboratory of Applied Mathematics Department of Mathematics and Computer Science Faculty of Science University of Douala, P.O. Box 24157UMI 209 IRD&UPMC UMMISCOLIRIMA Project Team GRIMCAPEThe African Center of Excellence in Information and Communication Technologies (CETIC) University of Yaounde 1Nuclear Physics Laboratory Faculty of Science University of Yaounde I, P.O. Box 812Instituto de Física Teórica UNESP Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra FundaInstituto de Física Teórica UNESP Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra FundaUniversity of DschangInstitute of Geological and Mining ResearchUniversity of DoualaUMI 209 IRD&UPMC UMMISCOProject Team GRIMCAPEUniversity of Yaounde 1University of Yaounde IUniversidade Estadual Paulista (Unesp)Kountchou, MichauxLouodop, Patrick [UNESP]Bowong, SamuelFotsin, HilaireSaïdou,2018-12-11T17:01:35Z2018-12-11T17:01:35Z2016-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article399-414application/pdfhttp://dx.doi.org/10.1007/s11071-016-2694-4Nonlinear Dynamics, v. 85, n. 1, p. 399-414, 2016.1573-269X0924-090Xhttp://hdl.handle.net/11449/17264810.1007/s11071-016-2694-42-s2.0-849601187562-s2.0-84960118756.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Dynamicsinfo:eu-repo/semantics/openAccess2023-11-25T06:13:56Zoai:repositorio.unesp.br:11449/172648Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:40:00.866272Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
title |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
spellingShingle |
Analog circuit design and optimal synchronization of a modified Rayleigh system Kountchou, Michaux Chaos synchronization Controllability function Modified Rayleigh system Optimal feedback control Pspice analog circuit implementation |
title_short |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
title_full |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
title_fullStr |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
title_full_unstemmed |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
title_sort |
Analog circuit design and optimal synchronization of a modified Rayleigh system |
author |
Kountchou, Michaux |
author_facet |
Kountchou, Michaux Louodop, Patrick [UNESP] Bowong, Samuel Fotsin, Hilaire Saïdou, |
author_role |
author |
author2 |
Louodop, Patrick [UNESP] Bowong, Samuel Fotsin, Hilaire Saïdou, |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
University of Dschang Institute of Geological and Mining Research University of Douala UMI 209 IRD&UPMC UMMISCO Project Team GRIMCAPE University of Yaounde 1 University of Yaounde I Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Kountchou, Michaux Louodop, Patrick [UNESP] Bowong, Samuel Fotsin, Hilaire Saïdou, |
dc.subject.por.fl_str_mv |
Chaos synchronization Controllability function Modified Rayleigh system Optimal feedback control Pspice analog circuit implementation |
topic |
Chaos synchronization Controllability function Modified Rayleigh system Optimal feedback control Pspice analog circuit implementation |
description |
This paper addresses the problem of optimization of the synchronization of a chaotic modified Rayleigh system. We first introduce a four-dimensional autonomous chaotic system which is obtained by the modification of a two-dimensional Rayleigh system. Some basic dynamical properties and behaviors of this system are investigated. An appropriate electronic circuit (analog simulator) is proposed for the investigation of the dynamical behavior of the proposed system. Correspondences are established between the coefficients of the system model and the components of the electronic circuit. Furthermore, we propose an optimal robust adaptive feedback which accomplishes the synchronization of two modified Rayleigh systems using the controllability functions method. The advantage of the proposed scheme is that it takes into account the energy wasted by feedback coupling and the closed loop performance on synchronization. Also, a finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master–slave controller system is also presented to show the feasibility of the proposed scheme. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-07-01 2018-12-11T17:01:35Z 2018-12-11T17:01:35Z |
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/10.1007/s11071-016-2694-4 Nonlinear Dynamics, v. 85, n. 1, p. 399-414, 2016. 1573-269X 0924-090X http://hdl.handle.net/11449/172648 10.1007/s11071-016-2694-4 2-s2.0-84960118756 2-s2.0-84960118756.pdf |
url |
http://dx.doi.org/10.1007/s11071-016-2694-4 http://hdl.handle.net/11449/172648 |
identifier_str_mv |
Nonlinear Dynamics, v. 85, n. 1, p. 399-414, 2016. 1573-269X 0924-090X 10.1007/s11071-016-2694-4 2-s2.0-84960118756 2-s2.0-84960118756.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nonlinear Dynamics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
399-414 application/pdf |
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_ |
1808128963728375808 |