基于Washout滤波器的金融系统的分岔控制

Bifurcation Control of Finance System Based on Washout Filter

摘要: 本文从独立设计的Washout滤波器控制器出发研究了一类金融系统的Hopf分岔的控制问题，主要考察了控制器参数对分岔点位置的影响。文中首先介绍了Washout滤波器，然后分析了这个系统的平衡点分布，通过添加Washout滤波器控制器分析了滤波器时间常数与线性控制增益对其Hopf分岔点位置的影响，并选取不同的参数值来改变Hopf分岔点的位置，最后通过数值模拟验证理论结果的有效性和正确性。
>In this paper, Washout filter is adopted to control Hopf bifurcation in a kind of finance system. The effect of its parameters on the position of bifurcation point is discussed in detail. First of all, the Washout filter is introduced in this paper. And then the distribution of the equilibrium point of the system is analyzed. After that, the influence of the filter’s time constant and the linear gain on the location of bifurcation point is analyzed by adding the Washout filter controller, and changing the position of the Hopf bifurcation point by taking different values. Finally, numerical simulations are provided to verify the accuracy and effective of the theoretical analysis.