Adaptive observers-based synchronization of a class of Lur'e systems with delayed outputs for chaotic communications

In this paper, we propose an adaptive observer-based synchronization approach for a class of chaotic Lur'e systems with slope restricted nonlinearities and delayed outputs. The delay is assumed bounded and time varying and the information to be transmitted is assumed piecewise constant. Based o...

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Bibliographic Details
Published inIFAC Proceedings Volumes Vol. 45; no. 12; pp. 255 - 260
Main Authors Dimassi, H., Loria, A., Belghith, S.
Format Journal Article
LanguageEnglish
Published 01.06.2012
Subjects
adaptive control
Chaos
communications
state observers
synchronization
time delay
Chaos
synchronization
adaptive control
communications
time delay
state observers
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Summary:In this paper, we propose an adaptive observer-based synchronization approach for a class of chaotic Lur'e systems with slope restricted nonlinearities and delayed outputs. The delay is assumed bounded and time varying and the information to be transmitted is assumed piecewise constant. Based on the Lyapunov-Krasovskii approach, we show that for sufficiently small values of the time-delay upper bound, both synchronization and information reconstruction objectives are ensured under a condition of persistent excitation and after solving a convex optimization problem. The result is illustrated via a numerical example of a chaotic communication system subject to a transmission delay.
ISSN:1474-6670
DOI:10.3182/20120620-3-MX-3012.00015