引用本文:邹艳丽, 罗晓曙, 陈关荣.用状态变量的一阶微分反馈法实现蔡电路的混沌控制[J].控制理论与应用,2004,21(4):565~568.[点击复制]
ZOU Yan-li, LUO Xiao-shu, CHEN Guan-rong.Applying first-order differential of state variable as feedbackto realize chaos control of Chua's Circuit[J].Control Theory and Technology,2004,21(4):565~568.[点击复制]
用状态变量的一阶微分反馈法实现蔡电路的混沌控制
Applying first-order differential of state variable as feedbackto realize chaos control of Chua's Circuit
摘要点击 1341  全文点击 1507  投稿时间：2003-02-24  修订日期：2004-06-26
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DOI编号  
  2004,21(4):565-568
中文关键词  蔡电路  变量的微分反馈  混沌控制  Hopf分岔  电路仿真
英文关键词  Chua's circuit  variable differential feedback  chaos control  Hopf bifurcation  circuit simulation
基金项目  国家自然科学基金项目(10247005); 广西自然科学基金项目(0135063).
作者单位E-mail
邹艳丽, 罗晓曙, 陈关荣 广西师范大学 物理与电子科学系,广西桂林 541004
香港城市大学 电子工程系,九龙,香港 		zouyanli@sjtu.edu.cn 
中文摘要
      提出了用系统变量的一阶微分反馈实现Chua电路的分岔和混沌控制的方法.首先根据理论分析,求出使混沌Chua电路中不动点稳定时控制参数k1的取值范围和使系统发生Hopf分岔时控制参数k1的临界值k0.由分岔图可以得到系统被控制到各种nP周期轨道时k1的取值范围.然后根据该控制方法,设计了实现Chua电路混沌控制的电路,并进行了电路仿真.数值计算和仿真结果验证了这种控制分岔和混沌方法的正确性和有效性.
英文摘要
      A method of controlling chaos and bifurcation on Chua's circuit is proposed,in which only a single variable differential feedback is used.A theoretical analysis gave the range of value of control parameter k_1 to stabilize the unstable fixed points in Chua's circuit and its critical value k_0 for generating Hopf bifurcation.The range of values of k_1 to stabilize a certain nP periodic orbit in Chua's circuit was then obtained through the bifurcation diagram.The periodic orbits could be stabilized with appropriate k_1. Then based on this chaos control method,a schematic circuit was designed for controlling Chua's circuit.Numerical and circuit simulations validated this method of controlling chaos and bifurcation on Chua's circuit.