蔡氏电路混沌系统的单状态延时反馈控制
杨正兵，王怀磊
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.
关键词：混沌控制；时滞反馈；蔡氏电路；Hopf分叉；周期轨道
Single state time-delayed feedback control of chaos in Chua's circuit system
Zhengbing Yang, Huailei Wang
Abstract：Based on the theory of Hopf bifurcation of timedelayed 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.
Keyword：chaos control; time-delayed feedback; Chua’s circuit system; Hopf bifurcation; Periodic orbits
原文链接：http://dlxykzxb.cnjournals.net/jdc/article/abstract/20100409?st=search
