n涡卷Chua电路的混沌控制

Chaos control in the n-scroll Chua's circuit

中文关键词  n涡卷Chua电路  混沌控制  一阶低通滤波器  Hopf分岔

英文关键词  n-scroll Chua's circuit  chaos control  low-pass first order filter  Hopf bifurcation

中文摘要

      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．

英文摘要

      The chaos control problem in the n-scroll Chua's circuit is studied. At first, the unstable fixed points in the n-scroll 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.