极限环曲率系数在电机系统分岔控制中的应用

袁春华;王 江

振动与冲击 ›› 2013, Vol. 32 ›› Issue (20) : 134-138.

PDF(1116 KB)
PDF(1116 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (20) : 134-138.
论文

极限环曲率系数在电机系统分岔控制中的应用

  • 袁春华,王 江

作者信息 +

Limit Cycle Curvature Coefficient and its Application in theBifurcation Control of a Motor System

  • YUANChunhua,WANGJian
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摘要

针对无刷直流电机系统等效非线性数学模型,分别设计了washout-filter控制器和非线性状态反馈控制器控制系统的分岔行为,并引入极限环曲率系数计算方法,求出系统的曲率系数,通过曲率系数讨论控制参数对Hopf分岔类型及周期解振幅的影响,得出当曲率系数小于零时,原系统不稳定极限环被控制为稳定极限环。然后对两种控制方法进行比较,结果表明washout滤波器较非线性反馈控制器具有明显优势。最后用数值仿真验证了本文的结论。

Abstract

The Washout filter controller and the nonlinear state feedback controller are respectively adopted to control Hopf bifurcation in the equal effective non-linear mathematical model of brushless DC motor system, by introducing the calculation method of limit cycle curvature coefficient, the limit cycle curvature coefficient of system is obtained and expressed as a function of control parameter, the periodic solution’s amplitude and the Hopf bifurcation type of system are discussed by the control parameter, it is concluded that if the curvature coefficient is less than zero, the unstable limit cycle of original system is controlled to a stable limit cycle. Then two control methods are compared, results shows that washout filter has certain advantages compared to nonlinear feedback controller. Finally, all the results obtained are verified by numerical simulation.


关键词

极限环曲率系数 / 无刷直流电机 / Hopf分岔 / washout滤波器 / 非线性状态反馈控制器

Key words

limit cycle curvature coefficient / brushless DC motor / Hopf bifurcation / washout filter / nonlinear state feedback controller

引用本文

导出引用
袁春华;王 江. 极限环曲率系数在电机系统分岔控制中的应用[J]. 振动与冲击, 2013, 32(20): 134-138
YUANChunhua;WANGJian. Limit Cycle Curvature Coefficient and its Application in theBifurcation Control of a Motor System[J]. Journal of Vibration and Shock, 2013, 32(20): 134-138

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