CAJ | 학술논문

对一类Van der Pol-Duffing系统进行 Hopf分岔分析，并基于 Washout滤波器设计状态反馈控制器，讨论控制增益对 Hopf 分岔的存在性及其极限环幅值的影响。结果表明，选取适当的控制增益可以控制 Hopf分岔的发生并改变极限环幅值的大小。
대일류Van der Pol-Duffing계통진행 Hopf분차분석，병기우 Washout려파기설계상태반궤공제기，토론공제증익대 Hopf 분차적존재성급기겁한배폭치적영향。결과표명，선취괄당적공제증익가이공제 Hopf분차적발생병개변겁한배폭치적대소。
We studied the Hopf bifurcation and Hopf bifurcation control for a Van der Pol-Duffing system.First of all,we analyzed the Hopf bifurcation and designed the linear and nonlinear state feedback controller for the autonomous system.Then,we designed a state feedback controller based on Washout filter, and discussed the impact of the control gain on the existence of the Hopf bifurcation and the limit cycle amplitude.Results show that selecting appropriate control gain can not only control the occurrence of Hopf bifurcation,but also change the size of the limit cycle amplitude.