|
|
|
| Study on Synchronization of a New Class of Hyperchaotic Systems Using Nonlinear Feedback Control |
| Zheng Hao-zhou① Hu Jin-feng① Xu Wei② Liu Li-dong① He Zi-shu① |
①(School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China)
②(Air Force Dalian Communication Segment College, Dalian 116600, China) |
|
|
|
|
Abstract The hyperchaotic system, composed of high and slow frequency part, is robust to strong noise. If the conventional synchronization algorithms are used in this system, the convergence rate of synchronization is slow and synchronization performances are sensitive to the parameters of response system. To resolve the problems, the synchronization algorithm using nonlinear feedback control is proposed, according to Hurwitz stability theory, designing a nonlinear controller can make the real parts of the eigenvalues of the error equation’s Jacobian matrix negative and the absolutes of the eigenvalues large. So the convergence rate of synchronization is faster than that of conventional synchronization, besides, it has the advantage of parameters insensitivity. Finally, numerical simulations are given to verify the effectiveness of the proposed methods.
|
|
Received: 05 August 2010
|
|
|
|
Corresponding Authors:
Zheng Hao-zhou
E-mail: hktk8587161@yahoo.com.cn
|
|
|
|
|
|
|
2011, Vol. 33 
