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.
郑皓洲, 胡进峰, 徐威, 刘立东, 何子述. 一类新型超混沌系统的非线性反馈同步研究[J]. 电子与信息学报, 2011, 33(4): 844-848.
Zheng Hao-Zhou, Hu Jin-Feng, Xu Wei, Liu Li-Dong, He Zi-Shu. Study on Synchronization of a New Class of Hyperchaotic Systems Using Nonlinear Feedback Control. , 2011, 33(4): 844-848.
2011, Vol. 33 
