TY - JOUR
T1 - A chaotic system in synchronization and secure communications
AU - Mata-Machuca, Juan L.
AU - Martínez-Guerra, Rafael
AU - Aguilar-López, Ricardo
AU - Aguilar-Ibañez, Carlos
PY - 2012/4
Y1 - 2012/4
N2 - 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.
AB - 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.
KW - Chaotic parameter modulation
KW - High order sliding-mode adaptative controller
KW - Parameter estimation
KW - Secure communications
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=80055025057&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2011.08.026
DO - 10.1016/j.cnsns.2011.08.026
M3 - Artículo
SN - 1007-5704
VL - 17
SP - 1706
EP - 1713
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 4
ER -