数控机床磁悬浮直线同步电动机混合H_(2)/H_(∞)鲁棒控制器设计  

Design of hybrid H_(2)/H_(∞) robust controller for magnetically levitated linear synchronous motor of CNC machine tools

作　　者：陈泽宇 蓝益鹏[1] CHEN Zeyu;LAN Yipeng(School of Electric Engineering,Shenyang University of Technology,Shenyang 110870,CHN)

机构地区：[1]沈阳工业大学电气工程学院,辽宁沈阳110870

出　　处：《制造技术与机床》2024年第11期91-96,共6页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金资助项目(51575363)。

摘　　要：针对数控机床磁悬浮直线同步电动机控制系统,提出混合H_(2)/H_(∞)鲁棒控制。首先,考虑不确定H_(∞)扰动以及端部效应等因素建立数控机床磁悬浮直线同步电动机的数学模型。其次,将鲁棒H_(∞)控制与线性矩阵不等式(linear matrix inequality,LMI)相结合,设计一种基于LMI的鲁棒H_(2)/H_(∞)控制器。再次,为提高系统的动态性能,设计基于LMI的混合鲁棒控制器。最后,仿真H_(2)/H_(∞)结果证明在保证系统鲁棒稳定的前提下,混合鲁棒控制可有效提高系统的收敛速度和响应灵敏度。For the control system of magnetic levitation linear synchronous motor of computer numerical control(CNC)machine tools,hybrid H_(2)/H_(∞) robust control is proposed.Firstly,the mathematical model of magnetic levitation linear synchronous motor of CNC machine tools is established by considering the uncertain perturbation,and the end effect.Secondly,the H_(∞) robust control is combined with the LMI to H_(∞) design an H_(∞) robust controller based on the LMI.Thirdly,in order to improve the dynamic performance of the system,a hybrid H_(2)/H_(∞) robust controller based on LMI is designed.Finally,the simulation results prove that the hybrid H_(2)/H_(∞) robust control can effectively improve the convergence speed and response sensitivity of the system under the premise of ensuring the system robust stability.

关 键 词：数控机床磁悬浮直线同步电动机 H_(∞)鲁棒控制 混合H_(2)/H_(∞)鲁棒控制 LMI 

分 类 号：TH341[机械工程—机械制造及自动化]