直线同步电机参数不确定性系统H∞控制策略  

H∞Control Strategy of Linear Synchronous Motor Parameter Uncertainty System

作　　者：张馨圆 蓝益鹏[1] ZHANG Xinyuan;LAN Yipeng(School of Electrical Engineering,Shenyang University of Technology,Shenyang 110870,China)

机构地区：[1]沈阳工业大学电气工程学院,辽宁沈阳110870

出　　处：《电机与控制应用》2020年第11期18-24,共7页Electric machines & control application

基　　金：国家自然科学基金项目(51575363)。

摘　　要：直线磁悬浮同步电机在运行过程中,由于悬浮高度不同以及电枢回路电流引起的电阻变化,系统存在自身参数摄动的问题。针对这一问题,提出一种直线同步电机参数不确定性系统H∞控制方法。首先,分析直线同步电机的结构及其运行机理,建立参数不确定性进给控制系统的数学模型。其次,将控制系统对参数的不确定性以及干扰抑制问题归结为标准H∞状态反馈设计,通过解Riccati不等式的正定解,进而得到参数不确定性控制系统的进给子系统H∞鲁棒控制器。最后,用MATLAB/Simulink软件进行仿真研究。仿真结果表明:当系统存在参数不确定性及外部扰动时,该控制策略具有比PI控制更好的性能,满足对数控机床直线磁悬浮同步电机控制系统的要求。During the operation of the maglev linear synchronous motor,due to the different height of suspension and the resistance change caused by the armature loop current,the system has the problem of parameter perturbation.A method for H∞control of parameter uncertainty system of the linear synchronous motor is proposed.First,the structure and operation mechanism of the linear synchronous motor are analyzed,and the mathematical model of the parameter uncertainty feed control system is established.Second,the uncertainty of the control system and the interference suppression of the parameters are reduced to the standard H∞state feedback design.By acquiring the positive definite solution of Riccati inequality,the H∞robust controller of the feed subsystem of the parameter uncertainty control system is obtained.Finally,MATLAB/Simulink simulation results show that the system has better performance than PI control when there are parameter uncertainties and external disturbances,and the requirements for the control system of maglev linear synchronous motor for CNC machine tool can be met.

关 键 词：直线同步电机 H∞鲁棒控制 数控机床 RICCATI不等式 

分 类 号：TM383[电气工程—电机]