A chaotic system in synchronization and secure communications

► Synchronization and parameter estimations of an uncertain chaotic system. ► Design of a high order sliding-mode adaptative controller. ► Secure communications employing chaotic parameter modulation. In this paper we deal with the synchronization and parameter estimations of an uncertain Rikitake s...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2012-04, Vol.17 (4), p.1706-1713
Main Authors: Mata-Machuca, Juan L., Martínez-Guerra, Rafael, Aguilar-López, Ricardo, Aguilar-Ibañez, Carlos
Format: Article
Language:English
Subjects:
Chaotic parameter modulation
High order sliding-mode adaptative controller
Parameter estimation
Secure communications
Synchronization
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Summary:► Synchronization and parameter estimations of an uncertain chaotic system. ► Design of a high order sliding-mode adaptative controller. ► Secure communications employing chaotic parameter modulation. In this paper we deal with the synchronization and parameter estimations of an uncertain Rikitake system and its application in secure communications employing chaotic parameter modulation. The strategy consists of proposing a receiver system which tends to follow asymptotically the unknown Rikitake system, refereed as transmitter system. The gains of the receiver system are adjusted continually according to a convenient high order sliding-mode adaptative controller (HOSMAC), until the measurable output errors converge to zero. By using HOSMAC, synchronization between transmitter and receiver is achieved and message signals are recovered. The convergence analysis is carried out by using Barbalat’s Lemma.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2011.08.026