制造技术与机床2024,Issue(11) :91-96.DOI:10.19287/j.mtmt.1005-2402.2024.11.013

数控机床磁悬浮直线同步电动机混合H2/H∞鲁棒控制器设计

Design of hybrid H2/H∞ robust controller for magnetically levitated linear synchronous motor of CNC machine tools

陈泽宇 蓝益鹏
制造技术与机床2024,Issue(11) :91-96.DOI:10.19287/j.mtmt.1005-2402.2024.11.013

数控机床磁悬浮直线同步电动机混合H2/H∞鲁棒控制器设计

Design of hybrid H2/H∞ robust controller for magnetically levitated linear synchronous motor of CNC machine tools

陈泽宇 1蓝益鹏1
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作者信息

  • 1. 沈阳工业大学电气工程学院,辽宁 沈阳 110870
  • 折叠

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H2/H∞鲁棒控制.首先,考虑不确定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H∞鲁棒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H∞鲁棒控制器.再次,为提高系统的动态性能,设计基于LMI的混合H2/H∞鲁棒控制器.最后,仿真结果证明在保证系统鲁棒稳定的前提下,混合H2/H∞鲁棒控制可有效提高系统的收敛速度和响应灵敏度.

Abstract

For the control system of magnetic levitation linear synchronous motor of computer numerical control(CNC)machine tools,hybrid H2/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 design an H∞ robust controller based on the LMI.Thirdly,in order to improve the dynamic performance of the system,a hybrid H2/H∞ robust controller based on LMI is designed.Finally,the simulation results prove that the hybrid H2/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H2/H∞鲁棒控制/LMI

Key words

magnetic levitation linear synchronous motor of CNC machine tools/H∞ robust control/hybrid H2/H∞ robust control/LMI

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基金项目

国家自然科学基金资助项目(51575363)

出版年

2024
制造技术与机床
中国机械工程学会 北京机床研究所

制造技术与机床

CSTPCD北大核心
影响因子:0.264
ISSN:1005-2402
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