| 引用本文: | 邹艳丽,朱杰,罗晓曙.n涡卷Chua电路的混沌控制[J].控制理论与应用,2006,23(4):653~657.[点击复制] |
| ZOU Yan-li, ZHUJie, LUO Xiao-shu .Chaos control in the n-scroll Chua's circuit[J].Control Theory and Technology,2006,23(4):653~657.[点击复制] |
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| n涡卷Chua电路的混沌控制 |
| Chaos control in the n-scroll Chua's circuit |
| 摘要点击 1072 全文点击 725 投稿时间：2004-11-24 修订日期：2005-09-12 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.4.031 |
| 2006,23(4):653-657 |
| 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 |
| 基金项目 国家自然科学基金资助项目(10247005)． |
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| 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. |
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