Title :
Synchronization of Lorenz systems by adaptive observation
Author :
Jin, Yufang ; Qu, Zhihua
Author_Institution :
Electr. Eng. Dept., Central Florida Univ., Orlando, FL, USA
Abstract :
In this paper, synchronization of a Lorenz-system transmitter is studied under the assumption that one of the three state variables is not transmitted and that transmitter parameters are not known a priori. An adaptive algorithm is proposed to estimate both the state and system parameters. It is shown by Lyapunov arguments and persistent excitation analysis that asymptotic stability of state and parameter estimation is guaranteed. Simulation results are included to demonstrate properties of the algorithm.
Keywords :
Lyapunov methods; adaptive systems; asymptotic stability; nonlinear dynamical systems; synchronisation; transmitters; Lorenz system transmitter synchronization; Lyapunov argument; adaptive algorithm; adaptive observation; asymptotic stability; chaotic behavior; excitation analysis; state parameter estimation; system parameter estimation; three state variables; transmitter parameter; Adaptive algorithm; Adaptive systems; Chaos; Chaotic communication; Equations; Lyapunov method; Observers; Parameter estimation; State estimation; Transmitters;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1244041
