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Synchronization and Adaptive Anti‐Synchronization Control for L orenz Systems under Channel Noise with Applications
Author(s) -
Liu Bin,
Li JianPing,
Zheng Weixing
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.581
Subject(s) - synchronization (alternating current) , control theory (sociology) , channel (broadcasting) , adaptive control , computer science , noise (video) , parametric statistics , transmission (telecommunications) , control (management) , mathematics , telecommunications , artificial intelligence , image (mathematics) , statistics
This paper studies synchronization and adaptive anti‐synchronization control for L orenz systems with applications to secure communication, where the transmission channel is subject to noise disturbance and the parameters of the L orenz systems are allowed to be uncertain. Based on the methods of the L yapunov function, input‐to‐state stability theory, nonlinear parametric variation, and the B arbalat L emma, estimates for errors of synchronization and adaptive anti‐synchronization are derived. These estimates help to design the feedback control and adaptive control laws with relatively small synchronization error bounds. Moreover, the information signal error in secure communication is also derived, which is used to design a secure communication scheme with a lower disturbance from channel noise and with higher security. Simulations are given to demonstrate the results.