An observer for the synchronization of chaotic Liouvillian systems: A real-time application to Chua's oscillator

Rafael Martinez-Guerra; Juan L. Mata-Machuca

doi:10.1109/CDC.2012.6426017

An observer for the synchronization of chaotic Liouvillian systems: A real-time application to Chua's oscillator

Rafael Martinez-Guerra, Juan L. Mata-Machuca

Unidad Profesional Interdisciplinaria de Ingeniería y Tecnologías Avanzadas (UPIITA)

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

This work deals with the master-slave synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink^® and Matlab^®-LMI programs. Experimental results are shown to visualize and illustrate the effectiveness of the proposed observer.

Original language	English
Article number	6426017
Pages (from-to)	4071-4076
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426017
State	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

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title = "An observer for the synchronization of chaotic Liouvillian systems: A real-time application to Chua's oscillator",

abstract = "This work deals with the master-slave synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink{\textregistered} and Matlab{\textregistered}-LMI programs. Experimental results are shown to visualize and illustrate the effectiveness of the proposed observer.",

author = "Rafael Martinez-Guerra and Mata-Machuca, {Juan L.}",

year = "2012",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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Y1 - 2012

N2 - This work deals with the master-slave synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink® and Matlab®-LMI programs. Experimental results are shown to visualize and illustrate the effectiveness of the proposed observer.

AB - This work deals with the master-slave synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink® and Matlab®-LMI programs. Experimental results are shown to visualize and illustrate the effectiveness of the proposed observer.

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DO - 10.1109/CDC.2012.6426017

M3 - Artículo de la conferencia

AN - SCOPUS:84874240105

SN - 0743-1546

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

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Y2 - 10 December 2012 through 13 December 2012

ER -

An observer for the synchronization of chaotic Liouvillian systems: A real-time application to Chua's oscillator

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