一类新型超混沌系统的非线性反馈同步研究

Study on Synchronization of a New Class of Hyperchaotic Systems Using Nonlinear Feedback Control

一类由快变和慢变吸引子构成的新型超混沌系统,具有强的抗噪声能力,但是采用传统同步算法时,同步收敛速度较慢,同步性能对响应系统参数敏感。针对该问题,该文提出非线性反馈同步算法,根据Hurwitz稳定原理,设计非线性控制变量,使得误差方程雅可比矩阵的特征值实部均小于零,并使得特征值的绝对值较大。该算法比传统同步算法收敛速度快,并且具有对系统参数不敏感的优点。仿真结果验证了上述算法的有效性。

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.