Adaptive synchronization of different dimensional chaotic systems with unknown parameters

Author

Sun, Guanghui ; Wang, Mao ; Huang, Lilian

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin

fYear

2008

fDate

10-12 Dec. 2008

Firstpage

1

Lastpage

5

Abstract

This work presents the adaptive synchronization between two different order chaotic systems with unknown parameters. Based on Lyapunov stability theory, a novel adaptive control law and a parameter update rule for unknown parameters are proposed. The proposed scheme can successfully synchronize some typical chaotic systems, such as the hyperchaotic Chen system and the Duffing equation. Numerical Simulation results verify the proposed schemepsilas effectiveness. Furthermore, the estimated values of the parameters are not identical to the real values under our discussions.

Keywords

Lyapunov methods; adaptive control; chaos; nonlinear control systems; stability; synchronisation; Duffing equation; Lyapunov stability theory; adaptive control; adaptive synchronization; different dimensional chaotic system; hyperchaotic Chen system; parameter update rule; unknown parameter; Adaptive control; Chaos; Equations; Lyapunov method; Numerical simulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control in Aerospace and Astronautics, 2008. ISSCAA 2008. 2nd International Symposium on

Conference_Location

Shenzhen

Print_ISBN

978-1-4244-3908-9

Electronic_ISBN

978-1-4244-2386-6

Type

conf

DOI

10.1109/ISSCAA.2008.4776350

Filename

4776350