Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
The goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master...
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Language: | English |
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Wiley
2014-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2014/935163 |
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author | Ricardo Aguilar-López Rafael Martínez-Guerra Juan L. Mata-Machuca |
author_facet | Ricardo Aguilar-López Rafael Martínez-Guerra Juan L. Mata-Machuca |
author_sort | Ricardo Aguilar-López |
collection | DOAJ |
description | The goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master and the slaves’ oscillators. The proposed observer contains a proportional and integral form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Numerical experiments were carried out to show the operation of the considered methodology. |
format | Article |
id | doaj-art-8771a342f37d41a6ac4eb6b71ba4e2d9 |
institution | Kabale University |
issn | 2356-6140 1537-744X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | The Scientific World Journal |
spelling | doaj-art-8771a342f37d41a6ac4eb6b71ba4e2d92025-02-03T01:31:40ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/935163935163Multisynchronization of Chaotic Oscillators via Nonlinear Observer ApproachRicardo Aguilar-López0Rafael Martínez-Guerra1Juan L. Mata-Machuca2CINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, MexicoCINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, MexicoAcademia de Mecatrónica, UPIITA-IPN, Avenida Instituto Politécnico Nacional 2580, Barrio La Laguna Ticomán, Gustavo A. Madero 07340, México. DF, MexicoThe goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master and the slaves’ oscillators. The proposed observer contains a proportional and integral form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Numerical experiments were carried out to show the operation of the considered methodology.http://dx.doi.org/10.1155/2014/935163 |
spellingShingle | Ricardo Aguilar-López Rafael Martínez-Guerra Juan L. Mata-Machuca Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach The Scientific World Journal |
title | Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach |
title_full | Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach |
title_fullStr | Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach |
title_full_unstemmed | Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach |
title_short | Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach |
title_sort | multisynchronization of chaotic oscillators via nonlinear observer approach |
url | http://dx.doi.org/10.1155/2014/935163 |
work_keys_str_mv | AT ricardoaguilarlopez multisynchronizationofchaoticoscillatorsvianonlinearobserverapproach AT rafaelmartinezguerra multisynchronizationofchaoticoscillatorsvianonlinearobserverapproach AT juanlmatamachuca multisynchronizationofchaoticoscillatorsvianonlinearobserverapproach |