Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control

An adaptive control scheme is developed to study the generalized adaptive chaos synchronization with uncertain chaotic parameters behavior between two identical chaotic dynamic systems. This generalized adaptive chaos synchronization controller is designed based on Lyapunov stability theory and an a...

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Main Authors:	Cheng-Hsiung Yang, Cheng-Lin Wu
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	The Scientific World Journal
Online Access:	http://dx.doi.org/10.1155/2014/152485

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spelling	doaj-fbdc8644113943caac888e4540cc02a82020-11-24T21:49:00ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/152485152485Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive ControlCheng-Hsiung Yang0Cheng-Lin Wu1Graduate Institute of Automation and Control, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei 106, TaiwanGraduate Institute of Automation and Control, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei 106, TaiwanAn adaptive control scheme is developed to study the generalized adaptive chaos synchronization with uncertain chaotic parameters behavior between two identical chaotic dynamic systems. This generalized adaptive chaos synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the adaptive controller with its update laws of uncertain chaotic parameters is shown. The generalized adaptive synchronization with uncertain parameters between two identical new Lorenz-Stenflo systems is taken as three examples to show the effectiveness of the proposed method. The numerical simulations are shown to verify the results.http://dx.doi.org/10.1155/2014/152485
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Cheng-Hsiung Yang Cheng-Lin Wu
spellingShingle	Cheng-Hsiung Yang Cheng-Lin Wu Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control The Scientific World Journal
author_facet	Cheng-Hsiung Yang Cheng-Lin Wu
author_sort	Cheng-Hsiung Yang
title	Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control
title_short	Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control
title_full	Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control
title_fullStr	Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control
title_full_unstemmed	Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control
title_sort	generalized synchronization with uncertain parameters of nonlinear dynamic system via adaptive control
publisher	Hindawi Limited
series	The Scientific World Journal
issn	2356-6140 1537-744X
publishDate	2014-01-01
description	An adaptive control scheme is developed to study the generalized adaptive chaos synchronization with uncertain chaotic parameters behavior between two identical chaotic dynamic systems. This generalized adaptive chaos synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the adaptive controller with its update laws of uncertain chaotic parameters is shown. The generalized adaptive synchronization with uncertain parameters between two identical new Lorenz-Stenflo systems is taken as three examples to show the effectiveness of the proposed method. The numerical simulations are shown to verify the results.
url	http://dx.doi.org/10.1155/2014/152485
work_keys_str_mv	AT chenghsiungyang generalizedsynchronizationwithuncertainparametersofnonlineardynamicsystemviaadaptivecontrol AT chenglinwu generalizedsynchronizationwithuncertainparametersofnonlineardynamicsystemviaadaptivecontrol
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Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control

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