基于LMI算法的永磁同步电机混沌控制

微特电机 ›› 2021, Vol. 49 ›› Issue (1): 40-44.

基于LMI算法的永磁同步电机混沌控制

李洋洋^1,2, 张懿^1,2, 戴磊^1,2, 魏海峰^1,2, 李垣江^1,2

1.江苏科技大学电子信息学院,镇江 212003;
2.江苏舾普泰克自动化科技有限公司,镇江 212003

收稿日期:2020-03-31 出版日期:2021-01-28 发布日期:2021-01-25
作者简介:李洋洋(1994—),女,硕士,研究方向为电机控制。
基金资助:
国家自然基金科学基金项目(51977101);江苏省省重点研发计划产业前瞻性与共性关键技术重点项目(BE2018007);江苏省研究生科研与实践创新计划项目资助

Chaos Control of Permanent Magnet Synchronous Motor Based on LMI Algorithm

LI Yang-yang^1,2, ZHANG Yi^1,2, DAI Lei^1,2, WEI Hai-feng^1,2, LI Yuan-jiang^1,2

1. School of Electronics and Information, Jiangsu University of Science and Technology,Zhenjiang 212003,China;
2. Jiangsu Shiptek Automation Technology Co.,Ltd.,Zhenjiang 212003,China

Received:2020-03-31 Online:2021-01-28 Published:2021-01-25

摘要/Abstract

摘要： 永磁同步电机运行系统中表现为间歇性振荡和不规则电磁噪声的混沌行为会对系统运行的稳定性造成较大程度上的损害。针对该种混沌现象,通过时间尺度变化和线性仿射变化将永磁同步电机的运动模型转换为一个三阶的无量纲化非线性方程组,采用定参数分析法对气隙均匀条件下永磁同步电机的无量纲模型进行分析,使得系统参数由小到大变化,发现在一定的范围内,系统将进入混沌运动状态。通过构造滑模函数设计一种动态滑模补偿混沌控制算法,基于LMI算法分析证明了其理论有效性。仿真实验结果验证了系统采用动态滑模补偿混沌控制算法后,具有良好的鲁棒性和快速的动态响应性能。

关键词: 永磁同步电机, 混沌行为, 线性矩阵不等式(LMI)算法, 动态滑模补偿算法

Abstract: The chaotic behavior of intermittent oscillation and irregular electromagnetic noise in the operation system of permanent magnet synchronous motor will cause great damage to the stability of the system operation. Aiming at the chaotic motion behavior of permanent magnet synchronous motors, the motion model of permanent magnet synchronous motors was converted into a third-order dimensionless nonlinear equation group through time scale changes and linear affine changes. The dimensionless model of the permanent magnet synchronous motor was analyzed under the condition of uniform gap, and it is found that the system will enter a chaotic state within a certain parameter range. In order to suppress the chaotic behavior of permanent magnet synchronous motors, a dynamic sliding mode compensation chaos control algorithm was designed by constructing a sliding mode function, and its theoretical validity was proved based on the analysis of the LMI algorithm. The simulation test results verify that the system has good robustness and fast dynamic response performance after using the dynamic sliding mode compensation chaos control algorithm.

Key words: permanent magnet synchronous motor, chaotic behavior, linear matrix intequality (LMI) algorithm, dynamic sliding mode compensation algorithm

中图分类号:

TM351

李洋洋, 张懿, 戴磊, 魏海峰, 李垣江. 基于LMI算法的永磁同步电机混沌控制[J]. 微特电机, 2021, 49(1): 40-44.

LI Yang-yang, ZHANG Yi, DAI Lei, WEI Hai-feng, LI Yuan-jiang. Chaos Control of Permanent Magnet Synchronous Motor Based on LMI Algorithm[J]. Small & Special Electrical Machines, 2021, 49(1): 40-44.

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