Synchronization of Lorenz systems by adaptive observation

Author

Jin, Yufang ; Qu, Zhihua

Author_Institution

Electr. Eng. Dept., Central Florida Univ., Orlando, FL, USA

Volume

4

fYear

2003

fDate

4-6 June 2003

Firstpage

3305

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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1244041

Filename

1244041