Adaptive control scheme for anti- synchronization of chaotic dynamical systems

Due to physical limitation in most real-world applications, the assumption on chaotic dynamical systems with identical drive and response systems is somehow unrealistic. Hence, synchronization of two different chaotic systems in the presence of unknown parameters is more essential and useful i...

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Main Author:	Maheri, Mahmoud
Format:	Thesis
Language:	English
Published:	2016
Subjects:	Chaotic behavior in systems Differentiable dynamical systems
Online Access:	http://psasir.upm.edu.my/id/eprint/67519/1/IPM%202016%2016%20IR.pdf
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id	my-upm-ir.67519
record_format	uketd_dc
spelling	my-upm-ir.675192019-03-07T07:31:39Z Adaptive control scheme for anti- synchronization of chaotic dynamical systems 2016-11 Maheri, Mahmoud Due to physical limitation in most real-world applications, the assumption on chaotic dynamical systems with identical drive and response systems is somehow unrealistic. Hence, synchronization of two different chaotic systems in the presence of unknown parameters is more essential and useful in real-world applications. Recently, several techniques have been proposed in the literature to synchronize chaotic dynamical systems. Therefore, this thesis presents chaos synchronization of a couple of chaotic systems. Based on the exponential and Lyapunov stability theory, the controller with the corresponding parameter update rules is designed such that the different chaotic systems can be synchronized asymptotically. The proposed function control is composed of both variable proportional and adaptive control actions for guaranteeing the convergence of the residual synchronization error to zero in the presence of disturbances. Three proposed chaos synchronization techniques are considered. The first technique considered chaos synchronization of two different chaotic systems with the same and different parametric perturbation by nonlinear control functions. Second technique studied an adaptive synchronization, phase synchronization and functional phase synchronization of two different chaotic systems with nonlinear control functions and the third technique, a robust adaptive nonlinear feedback controller technique is proposed to realize the synchronization between two different fractional order chaotic systems with fully unknown parameters, external disturbance and uncertainties. The proposed techniques are applied to achieve chaos synchronization for the chaotic dynamical systems We demonstrate that a coupled chaotic dynamical systems can be synchronized and numerical simulations show the effectiveness of the proposed control techniques. Moreover, as an application, a new technique for transmitting digital signals was proposed based on chaos masking using chaotic dynamical system. Also, simulation results verify the proposed technique’s success in the communication application. Chaotic behavior in systems Differentiable dynamical systems 2016-11 Thesis http://psasir.upm.edu.my/id/eprint/67519/ http://psasir.upm.edu.my/id/eprint/67519/1/IPM%202016%2016%20IR.pdf text en public doctoral Universiti Putra Malaysia Chaotic behavior in systems Differentiable dynamical systems
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Chaotic behavior in systems Differentiable dynamical systems
spellingShingle	Chaotic behavior in systems Differentiable dynamical systems Maheri, Mahmoud Adaptive control scheme for anti- synchronization of chaotic dynamical systems
description	Due to physical limitation in most real-world applications, the assumption on chaotic dynamical systems with identical drive and response systems is somehow unrealistic. Hence, synchronization of two different chaotic systems in the presence of unknown parameters is more essential and useful in real-world applications. Recently, several techniques have been proposed in the literature to synchronize chaotic dynamical systems. Therefore, this thesis presents chaos synchronization of a couple of chaotic systems. Based on the exponential and Lyapunov stability theory, the controller with the corresponding parameter update rules is designed such that the different chaotic systems can be synchronized asymptotically. The proposed function control is composed of both variable proportional and adaptive control actions for guaranteeing the convergence of the residual synchronization error to zero in the presence of disturbances. Three proposed chaos synchronization techniques are considered. The first technique considered chaos synchronization of two different chaotic systems with the same and different parametric perturbation by nonlinear control functions. Second technique studied an adaptive synchronization, phase synchronization and functional phase synchronization of two different chaotic systems with nonlinear control functions and the third technique, a robust adaptive nonlinear feedback controller technique is proposed to realize the synchronization between two different fractional order chaotic systems with fully unknown parameters, external disturbance and uncertainties. The proposed techniques are applied to achieve chaos synchronization for the chaotic dynamical systems We demonstrate that a coupled chaotic dynamical systems can be synchronized and numerical simulations show the effectiveness of the proposed control techniques. Moreover, as an application, a new technique for transmitting digital signals was proposed based on chaos masking using chaotic dynamical system. Also, simulation results verify the proposed technique’s success in the communication application.
format	Thesis
qualification_level	Doctorate
author	Maheri, Mahmoud
author_facet	Maheri, Mahmoud
author_sort	Maheri, Mahmoud
title	Adaptive control scheme for anti- synchronization of chaotic dynamical systems
title_short	Adaptive control scheme for anti- synchronization of chaotic dynamical systems
title_full	Adaptive control scheme for anti- synchronization of chaotic dynamical systems
title_fullStr	Adaptive control scheme for anti- synchronization of chaotic dynamical systems
title_full_unstemmed	Adaptive control scheme for anti- synchronization of chaotic dynamical systems
title_sort	adaptive control scheme for anti- synchronization of chaotic dynamical systems
granting_institution	Universiti Putra Malaysia
publishDate	2016
url	http://psasir.upm.edu.my/id/eprint/67519/1/IPM%202016%2016%20IR.pdf
_version_	1747812478902861824

Adaptive control scheme for anti- synchronization of chaotic dynamical systems

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