机床无刷直流电机系统的分岔分析与控制  

BIFURCATION ANALYSIS AND CONTROL OF A MACHINE BRUSHLESS DC MOTOR SYSTEM

作　　者：张中华[1] 付景超[1] 邓冠男[1] 

机构地区：[1]东北电力大学理学院

出　　处：《动力学与控制学报》2016年第1期53-58,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11201057);吉林省教育厅"十二五"科技发展项目;博士科研启动基金项目(BSJXM-201427)~~

摘　　要：文章主要研究了机床无刷直流电机系统的Hopf分岔控制问题.首先,对系统进行分岔分析,通过计算极限环曲率系数判定系统的Hopf分岔类型;然后设计Washout滤波器对系统进行分岔控制,根据Hopf分岔理论给出使原系统Hopf分岔位置发生改变的参数条件,利用Normal Form方法计算出受控系统的Hopf分岔正规型,根据正规型的实部大小判定Hopf分岔类型,给出使原系统Hopf分岔类型发生改变的参数条件;并借助MATLAB软件对理论结果进行数值仿真,理论结果和数值仿真表明:控制器中的线性增益能使系统在所期望的参数值处发生Hopf分岔,甚至消除Hopf分岔,控制器中的非线性增益能改变原系统的Hopf分岔类型及极限环幅值的大小.研究结果对无刷直流电动机系统的工程实际具有一定的指导意义.This paper is concerned with the Hopf bifurcation control of a brushless DC motor system. Firstly,the Hopf bifurcation style of original system is studied by limit cycle curvature coefficient; Then the washout filter is used to realize the Hopf bifurcation control of original system,and the required parameter condition that will change the Hopf bifurcation position of original system is given based on the Hopf bifurcation theory,besides the Normal Form of Hopf bifurcation is obtained based on the Normal Form method,and the Hopf bifurcation style is discussed by the real part of Normal Form,the required parameter condition that will change the Hopf bifurcation style is given; And the computer simulations（ by Matlab software） are applied to illustrate the theoretical results,simulation figures and theoretical results reveal that the linear gain can change the position of Hopf bifurcation and even make the Hopf bifurcation eliminate,while the nonlinear gain can change the stability of limit cycles or to control the amplitudes of oscillations. The result above may be help for the practical application of brushless DC motor system.

关 键 词：HOPF分岔 分岔控制 Washout滤波器 无刷直流电机 

分 类 号：TG502[金属学及工艺—金属切削加工及机床] TM33[电气工程—电机]