Bifurcation Control of an Incommensurate Fractional-Order Van der Pol Oscillator

摘要：

　　In this paper,a dynamic state feedback is applied to control Hopf bifurcations arising from an incommensurate fractional-order Van der Pol oscillator.The control parameter of the incommensurate fractional-order Van der Pol system is chosen as the bifurcation parameter.It is shown that in the absences of the dynamic state feedback controller,the incommensurate fractional-order system loses the stability via the Hopf bifurcation early and can maintain the stability only in a certain domain of the control parameter.When the state feedback controller is applied to the incommensurate fractional-order system,the onset of the undesirable Hopf bifurcation is postponed.Thus,the stability domain is extended and the system possesses the stability in a larger parameter range.Numerical simulations are given to illustrate the validity of the dynamic state feedback controller in bifurcation control of the incommensurate fractional-order Van der Pol system.

关键词： Incommensurate fractional-order Van der Pol oscillator Hopf bifurcation State feedback Bifurcation control

作者: XIAO Min ZHENG WeiXing WAN Youhong FAN Chunxia JIANG Guoping

作者单位: College of Automation,Nanjing University of Posts and Telecommunications,Nanjing 210003,P.R.China;Sc School of Computing,Engineering and Mathematics,University of Western Sydney,Penrith NSW 2751,Austra College of Automation,Nanjing University of Posts and Telecommunications,Nanjing 210003,P.R.China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2206-2211

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）