LC振荡型忆阻混沌电路及时滞反馈控制  

LC oscillation of memristor chaotic circuit and its time-delay feedback control

作　　者：洪庆辉[1] 刘奇能[2] 李志军[3] 曾以成[1] 

机构地区：[1]湘潭大学光电工程系,湖南湘潭411105 [2]湘潭大学电工与电子技术实验中心,湖南湘潭411105 [3]湘潭大学通信工程系,湖南湘潭411105

出　　处：《控制理论与应用》2015年第3期398-412,共15页Control Theory & Applications

基　　金：国家自然科学基金项目(61233010;61176032);湖南省研究生科研创新基金项目(CX2014B261)资助~~

摘　　要：将磁控忆阻器耦合于LC振荡电路中,得到了一种新的忆阻混沌电路.随后通过理论上的动力学分析、数值仿真、电路实验等验证了该电路的混沌特性.为了实现电路的混沌控制,设计了一种新型模拟时滞控制器.利用该控制器将混沌电路状态变量加以延时并反馈至原电路中.数值仿真和电路实验结果均表明,所设计的时滞控制器可实现混沌电路的镇定控制.进一步研究时滞控制下电路的分岔行为,发现时滞控制下的电路又可通过倍周期分岔进入超混沌.In this work, a new kind of memristor chaotic circuit is developed when the flux-controlled memristor is coupled to the LC oscillator. The chaotic characteristics of the circuit can be verified by the dynamic analysis, numerical simulations and circuit experiments. Furthermore, in order to control the proposed chaotic circuit, a new type of analog time-delay feedback control circuit is designed. The controller is used to realize the time delay in the state variables of the chaotic circuit, and feedback the resultant state variables to the original circuit. The results from the numerical simulation and the circuit experiment show that the proposed time-delay feedback controller can realize the stabilization control for the chaotic circuit. Finally, the bifurcation behavior of the circuit under the time-delay control is studied; results show that this circuit exhibits hyper chaos from double periodicity bifurcation with time-delay control.

关 键 词：混沌电路 忆阻器 混沌控制 时滞电路 电路实验 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O415.5[自动化与计算机技术—控制科学与工程]