蔡氏电路混沌系统的单状态延时反馈控制  

SINGLE STATE TIME-DELAYED FEEDBACK CONTROL OF CHAOS IN CHUA'S CIRCUIT SYSTEM

作　　者：杨正兵[1] 王怀磊[1] 

机构地区：[1]南京航空航天大学振动工程研究所,南京210016

出　　处：《动力学与控制学报》2010年第4期330-333,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10701024);高等学校博士点基金资助项目(20070287029);南京航空航天大学基本科研业务费专项科研项目(NS2010021)~~

摘　　要：基于时滞系统的Hopf分叉理论,设计了仅考虑单个状态变量的时滞反馈控制器,实现了将蔡氏电路系统的混沌运动稳定到某周期轨道上.首先论证了蔡氏电路系统的混沌动力学行为及平衡点的稳定性,然后详细分析了系统在x,y,z三个不同的单状态时滞反馈下增益参数的可控取值范围,最后数值仿真结果验证了理论分析的正确性.Based on the theory of Hopf bifurcation of time-delayed system, a single delayed state feedback controller was designed to control the chaotic motion of the Chua＇ s circuit system. First, the stability of the equilibriums and the chaotic motion of Chua＇ s circuit system were investigated. Then, the necessary controllable ranges of the feedback gains were determined via detailed analysis for each of the x, y, z single delayed state feedbacks, respectively. Finally, the results of numerical simulation verified the validity of the theoretical analysis.

关 键 词：混沌控制 时滞反馈 蔡氏电路 HOPF分叉 周期轨道 

分 类 号：O415.5[理学—理论物理]