摘要
首先根据n涡卷Chua电路中不稳定不动点处Jacobian矩阵特征根的性质将不动点分为两类．然后应用一阶低通滤波器法分别研究了这两类不动点的控制问题．理论研究发现n涡卷Chua电路的第1类不稳定不动点可以通过稳的一阶低通滤波器控制,而第2类不稳定不动点需要采用不稳定的一阶低通滤波器控制．并且在一定的控制参数取值下,受控系统可以产生Hopf分岔．数值仿真证实了理论分析的正确性和控制方法的有效性．
The chaos control problem in the n-scroll Chua＇s circuit is studied. At first, the unstable fixed points in the nscroll Chua＇s circuit are classified into two types according to the characteristics of the eigenvalues of the linearized system matrix at the fixed points. Next, a low-pass first order filter is applied to stabilize the two types of fixed points. Theoretical analysis shows that the first type of fixed points can be stabilized by using a stable low-pass filter and the second type of fixed points can be stabilized by using an unstable one, and with some appropriately chosen feedback parameters, Hopf bifurcation can be generated. Finally, numerical simulations are performed to verify the correctness and validity of the proposed chaos control method.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2006年第4期653-657,共5页
Control Theory & Applications
基金
国家自然科学基金资助项目(10247005).
