n涡卷Chua电路的混沌控制  

Chaos control in the n-scroll Chua's circuit

作　　者：邹艳丽[1] 朱杰[1] 罗晓曙[2] 

机构地区：[1]上海交通大学电子工程系,上海200240 [2]广西师范大学物理与信息工程学院,广西桂林541004

出　　处：《控制理论与应用》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).

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.

关 键 词：n涡卷Chua电路 混沌控制 一阶低通滤波器 HOPF分岔 

分 类 号：TM13[电气工程—电工理论与新技术]