基于Washout滤波器一类Silnikov方程的Hopf分岔分析与控制

Analysis and Control of Hopf Bifurcation for a Class of Silnikov Equation through Washout Filter

基于Washout滤波控制器考虑一类Silnikov方程的Hopf分岔问题,得到了分岔参数与线性控制增益的关系式.结果表明:改变线性控制增益可使分岔参数提前或延后;改变非线性控制增益可控制极限环幅值.数值仿真验证了控制方法的有效性.

Hopf bifurcation of a class of Silnikov equation was studied by means of Washout fliter controller,with the relation between bifurcation parameter and the linear control gain obtained.The bifurcation parameter could be moved by changing the linear control gain.The amplitude of the limit cycle can be controlled by changing the nonlinear control gain.The validity of the control method proposed was verified by the numerical simulation.