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

作　　者：刘洪伟[1] 

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《吉林大学学报（理学版）》2015年第6期1177-1182,共6页Journal of Jilin University:Science Edition

基　　金：吉林省科技发展计划项目(批准号:20130101065JC);东北电力大学优秀青年骨干教师科研启动基金;东北电力大学博士科研启动基金(批准号:BSJXM-201425)

摘　　要：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.

关 键 词：Silnikov方程 HOPF分岔 Washout滤波器 

分 类 号：O193[理学—数学]