用状态变量的一阶微分反馈法实现蔡电路的混沌控制

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.

Applying first-order differential of state variable as feedbackto realize chaos control of Chua''s Circuit

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.