Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method

This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstep...

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Main Authors: A. Abooee, M. R. Jahed Motlagh
Format: Article
Language:English
Published: Iran University of Science and Technology 2012-09-01
Series:Iranian Journal of Electrical and Electronic Engineering
Subjects:
Online Access:http://ijeee.iust.ac.ir/browse.php?a_code=A-10-688-1&slc_lang=en&sid=1
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spelling doaj-10b0eced65d14072a13f82fa4fc674d92020-11-24T21:46:45ZengIran University of Science and TechnologyIranian Journal of Electrical and Electronic Engineering1735-28272383-38902012-09-0183217226Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping MethodA. Abooee0M. R. Jahed Motlagh1 Electrical Engineering Department, Iran University of Science and Technology, Tehran 16846-13114, Iran. Electrical Engineering Department, Iran University of Science and Technology, Tehran 16846-13114, Iran. This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furthermore, this method is applied to achieve hyperchaos synchronization of two identical hyperchaotic Wang systems. Also, it is used to implement global asymptotic synchronization between hyperchaotic Wang system and hyperchaotic Rössler system. Numerical simulations have been employed to verify the effectiveness of the three designed active backstepping control vectors.http://ijeee.iust.ac.ir/browse.php?a_code=A-10-688-1&slc_lang=en&sid=1Hyperchaotic System Identical Synchronization Backstepping Methods Rössler and Wang Systems
collection DOAJ
language English
format Article
sources DOAJ
author A. Abooee
M. R. Jahed Motlagh
spellingShingle A. Abooee
M. R. Jahed Motlagh
Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
Iranian Journal of Electrical and Electronic Engineering
Hyperchaotic System
Identical Synchronization
Backstepping Methods
Rössler and Wang Systems
author_facet A. Abooee
M. R. Jahed Motlagh
author_sort A. Abooee
title Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
title_short Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
title_full Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
title_fullStr Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
title_full_unstemmed Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
title_sort identical and nonidentical synchronization of hyperchaotic systems by active backstepping method
publisher Iran University of Science and Technology
series Iranian Journal of Electrical and Electronic Engineering
issn 1735-2827
2383-3890
publishDate 2012-09-01
description This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furthermore, this method is applied to achieve hyperchaos synchronization of two identical hyperchaotic Wang systems. Also, it is used to implement global asymptotic synchronization between hyperchaotic Wang system and hyperchaotic Rössler system. Numerical simulations have been employed to verify the effectiveness of the three designed active backstepping control vectors.
topic Hyperchaotic System
Identical Synchronization
Backstepping Methods
Rössler and Wang Systems
url http://ijeee.iust.ac.ir/browse.php?a_code=A-10-688-1&slc_lang=en&sid=1
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