吉林大学学报（理学版）Issue(3)：568-574,7.DOI:10.13413/j.cnki.jdxblxb.2014.03.31
基于Washout滤波器的Van der Pol-Duffing系统的Hop f分岔控制
Control of Hopf Bifurcation in a Van der Pol-Duffing System Based on Washout-Filter
摘要
Abstract
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.关键词
Hopf分岔/Washout滤波器/极限环幅值/分岔控制Key words
Hopf bifurcation/Washout-filter/limit cycle amplitude/bifurcation control分类
数理科学引用本文复制引用
杜文举,张建刚,俞建宁,安新磊..基于Washout滤波器的Van der Pol-Duffing系统的Hop f分岔控制[J].吉林大学学报（理学版）,2014,(3):568-574,7.基金项目
国家自然科学基金(批准号:11161027 （）
61364001)和教育部科技研究重点项目(批准号:212180) （批准号:212180）
