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A study on integral control for synchronization of chaotic systems

Title
A study on integral control for synchronization of chaotic systems
Authors
이동욱
Date Issued
2011
Publisher
포항공과대학교
Abstract
In this thesis, we propose the integral control for the synchronization of different chaotic systems with unknown dynamics. First, the synchronization of two different chaotic systems with unknown dynamics is discussed. We proposed a high gain integral controller for synchronization of unknown drive and response system. The proposed integral controller utilizes the error signal so that the resulting error dynamical system is converted into a singular perturbation form. Perturbation theory is ised to demonstrate that the synchronization error of the resulting feedback system converges to zero. Second, an integral control scheme for interconnected unknown chaotic systems is addressed. Considering one network as the drive node and the others as the response nodes, the drive-response system achieves synchronous states through a suitably designed integral controller. The error dynamics of the resulting feedback system can be considered as a two-time-scale nonlinear dynamic system which has fast and slow dynamics. The sufficient condition for stability of two-time-scale nonlinear dynamic systems was derived using Tikhonov’s theorem. The proposed controller guarantees convergence of the synchronization error to zero.
URI
http://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000000900725
http://oasis.postech.ac.kr/handle/2014.oak/1115
Article Type
Thesis
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