Bifurcation Analysis and Hopf Bifurcation Control of a Motor System

doi:10.3969/j.issn.1000-1093.2013.08.021

Acta Armamentarii ›› 2013, Vol. 34 ›› Issue (8): 1051-1056.doi: 10.3969/j.issn.1000-1093.2013.08.021

• Research Notes • Previous Articles

Bifurcation Analysis and Hopf Bifurcation Control of a Motor System

ZHANG Zhong-hua^1,2, YUAN Hui-qun^1,3, ZHANG Yu-bai¹

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, Liaoning, China;2. College of Science, Northeast Dianli University, Jilin 132012, Jilin, China;3. College of Science, Northeastern University, Shenyang 110819, Liaoning, China

Received:2012-05-29 Revised:2012-05-29 Online:2013-10-14
Contact: ZHANG Zhong-hua E-mail:zhangzhonghua1979@126. com

Abstract

Abstract:

For the equivalent nonlinear dynamic system of brushless DC motor, the center manifold theory and Hopf bifurcation theory are used to discuss the Hopf bifurcation behaviors of original system, the Hopf bifurcation control problem of original system is investigated using a state feedback controller, and the effects of control parameters on the position of bifurcation point, bifurcation type and amplitude of periodic solution are analyzed. The research results show that the positions of Hopf bifurcation points can be changed and even the Hopf bifurcation points are eliminated by the linear control, and the bifurcation type and the bifurcation amplitude of periodic solution can be changed by the nonlinear control. Finally, the numerical simulations show the effectiveness of the proposed controllers.

Key words: electrical engineering, center manifold theory, pitchfork bifurcation, Hopf bifurcation, Hopf bifurcation control

CLC Number:

ZHANG Zhong-hua, YUAN Hui-qun, ZHANG Yu-bai. Bifurcation Analysis and Hopf Bifurcation Control of a Motor System[J]. Acta Armamentarii, 2013, 34(8): 1051-1056.

References

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Bifurcation Analysis and Hopf Bifurcation Control of a Motor System

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