Journal of Guangxi Normal University(Natural Science Edition) ›› 2023, Vol. 41 ›› Issue (2): 58-66.doi: 10.16088/j.issn.1001-6600.2022032303

Previous Articles     Next Articles

Chaos Tracking Control of Permanent Magnet Synchronous Motor Based on Single State Variable

YANG Xiu, WEI Duqu*   

  1. College of Electronic Engineering, Guangxi Normal University, Guilin Guangxi 541004, China
  • Received:2022-03-23 Revised:2022-04-23 Online:2023-03-25 Published:2023-04-25

Abstract: As a nonlinear system with many state variables and strong coupling, the permanent magnet synchronous motor (PMSM) is prone to bifurcation, chaos and other dynamical behaviors during actual operation. The existence of these nonlinear behaviors makes the PMSM system generate chaotic oscillation states under certain operating conditions, which affects the stable operation of the motor drive system. To solve this problem, a single-state variable-based feedback tracking control method is proposed, which effectively suppresses the chaotic behavior of the PMSM system and enables the system to track to a pre-set desired reference value, which is not only fast to control, but also the error value between the tracked PMSM system and the pre-set target system can be zero. In addition, the proposed control method does not have some constraints inside the system, and the system can be tracked to any preset value simply by selecting a suitable control gain E, which greatly improves the applicability of the controller. The effectiveness of the method is proved by a large number of numerical simulation experiments.

Key words: permanent magnet synchronous motor, single state variable, preset value, feedback tracking control

CLC Number: 

  • TM341
[1] 崔弘, 李艳东.永磁同步电机控制策略综述[J].防爆电机, 2021, 56(3): 3-7.
[2] 李健康, 韦笃取, 罗晓曙, 等.分布式发电系统与感性负载网络混沌同步控制[J].广西师范大学学报(自然科学版), 2019, 37(3): 33-41.DOI: 10.16088/j.issn.1001-6600.2019.03.004.
[3] GAO S Y, WEI Y J, ZHANG D, et al. A modified model predictive torque control with parameters robustness improvement for PMSM of electric vehicles[J]. Actuators, 2021, 10(6): 132.DOI: 10.3390/act10060132.
[4] 邵俊波, 王辉, 黄守道, 等.一种表贴式永磁同步电机无位置传感器低速控制策略[J].中国电机工程学报, 2018, 38(5): 1534-1541.DOI: 10.13334/j.0258-8013.pcsee.170756.
[5] WEN Y L, ZHENG H F, YANG F, et al. A novel MTPA and flux weakening method of stator flux oriented control of PMSM[J]. Transportation Safety and Environment, 2021, 3(3): tdab008.DOI: 10.1093/tse/tdab008.
[6] 赵一民, 黄植功.基于模糊变步长神经网络的永磁同步电机控制系统[J].广西师范大学学报(自然科学版), 2015, 33(4): 20-24.DOI: 10.16088/j.issn.1001-6600.2015.04.004.
[7] 刘景林, 公超, 韩泽秀, 等.永磁同步电机闭环控制系统数字PI参数整定[J].电机与控制学报, 2018, 22(4): 26-32.DOI: 10.15938/j.emc.2018.04.004.
[8] SUN Y H, WU X P, BAI L Q, et al. Finite-time synchronization control and parameter identificationof uncertain permanent magnet synchronous motor[J]. Neurocomputing, 2016, 207: 511-518.DOI: 10.1016/j.neucom.2016.05.036.
[9] ZHU D R, LIU C X, YAN B N. Modeling and adaptive pinning synchronization control for a chaotic-motion motor in complex network[J]. Physics Letters A, 2014, 378(5/6): 514-518.DOI: 10.1016/j.physleta.2013.11.035.
[10] LUO S H, GAO R Z. Chaos control of the permanent magnet synchronous motor with time-varying delay by using adaptive sliding mode control based on DSC[J]. Journal of the Franklin Institute, 2018, 355(10): 4147-4163.DOI: 10.1016/j.jfranklin.2018.04.031.
[11] KHANI F, HAERI M. Constrained tracking control for nonlinear systems[J]. ISA Transactions, 2017, 70: 64-72.DOI: 10.1016/j.isatra.2017.06.004.
[12] HE R, HAN Q Z. Dynamics and stability of permanent-magnet synchronous motor[J]. Mathematical Problems in Engineering, 2017: 4923987.DOI: 10.1155/2017/4923987.
[13] GAO R. A novel track control for Lorenz system with single state feedback[J]. Chaos, Solitons & Fractals, 2019, 122: 236-244.DOI: 10.1016/j.chaos.2019.02.008.
[14] MILANOVIC′ J V, ZHU W T. Modeling of interconnected critical infrastructure systems using complex network theory[J]. IEEE Transactions on Smart Grid, 2018, 9 (5): 4637-4648.DOI: 10.1109/TSG.2017.2665646.
[15] 梅春草, 韦笃取, 罗晓曙.分布式发电系统中感性负载的稳定性研究[J].广西师范大学学报(自然科学版), 2018, 36(2): 50-55. DOI: 10.16088/j.issn.1001-6600.2018.02.007.
[16] GAO Z K, SMALL M, KURTHS J. Complex network analysis of time series[J]. Europhysics Letters, 2017, 116(5): 50001.
[17] 张云, 王聪, 张宏立, 等.基于有限时间LaSalle不变集的PMSM混沌控制[J].系统仿真学报, 2020, 32(10): 1956-1963.DOI: 10.16182/j.issn1004731x.joss.20-0509.
[18] 胡锦铭, 韦笃取.不同阶次分数阶永磁同步电机的混合投影同步[J].广西师范大学学报(自然科学版), 2021, 39(4): 1-8.DOI: 10.16088/j.issn.1001-6600.2020070603.
[19] 孙志, 姜晓洁. 卷积神经网络在舰船舵-翼舵联合控制故障预测中的应用[J]. 舰船科学技术, 2021, 43(10): 103-105.
[20] 万斌斌, 魏海峰, 张懿,等. 基于并行混沌优化算法的永磁同步电机多参数辨识[J]. 微特电机, 2021, 49(3): 1-5, 10.
[21] 黄子昭, 张涛, 赵冰洁, 等.基于改进广义预测控制的PMSM速度控制[J].微电机, 2021, 54(8): 74-79.DOI: 10.15934/j.cnki.micromotors.2021.08.014.
[22] 宋爽, 汤琼, 瞿民凯, 等. 一类超混沌系统的动力学分析及电路实现[J]. 湖南工业大学学报, 2021, 35(6): 33-40.
[23] BODSON M. Explaining the Routh-Hurwitz criterion: a tutorial presentation[J]. IEEE Control Systems Magazine, 2020, 40(1): 45-51.DOI: 10.1109/MCS.2019.2949974.
[24] WEI D Q, LUO X S, WANG B H, et al. Robust adaptive dynamic surface control of chaos in permanent magnet synchronous motor[J]. Physics Letters A, 2007, 363(1/2): 71-77.DOI: 10.1016/j.physleta.2006.10.074.
[1] HU Jinming, WEI Duqu. Research on Generalized Sychronization of Fractional-order PMSM [J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 14-20.
[2] LI Jiankang,WEI Duqu,LUO Xiaoshu,QIN Yinghua. Study on Chaotic Synchronization Control of Distributed Generation System and Inductive Load Network [J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(3): 33-41.
[3] MEI Chuncao, WEI Duqu*, LUO Xiaoshu. Stability Analysis of Inductive Load of Distributed Generation System [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(2): 50-55.
[4] ZHAO Yi-min, HUANG Zhi-gong. Permanent Magnet Synchronous Motor Control System Based on Fuzzy Variable Step Size Neural Network [J]. Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(4): 20-24.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHOU Zhengchun. Research Progress of Complementary Sequences[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(1): 1 -16 .
[2] YANG Shuozhen, ZHANG Long, WANG Jianhua, ZHANG Hengyuan. Review of Sound Event Detection[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 1 -18 .
[3] YANG Shenglong, MU Qingchuang, ZHANG Zhihua, LIU Kui. Technical Progress in Recovery and Utilization of Spent Lithium-ion Batteries[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 19 -26 .
[4] LI Kangliang, QIU Caixiong, HE Shuang, HUANG Chunhua, WU Guanyi. Research Progress of IL-31 in Itch[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 27 -35 .
[5] LU Xumeng, NAN Xinyuan, XIA Sibo. Trajectory Tracking Control Based on Model-Free Coordinate Compensation Integral Sliding Mode Constraints[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 36 -48 .
[6] ZHANG Weijian, BING Qichun, SHEN Fuxin, HU Yanran, GAO Peng. Travel Time Estimation Method of Urban Expressway Section[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 49 -57 .
[7] ZHAO Yuan, SONG Shuxiang, LIU Zhenyu, CEN Mingcan, CAI Chaobo, JIANG Pinqun. Design of a Novel Current-Mirror Operational Transconductance Amplifier[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 67 -75 .
[8] WANG Luna, DU Hongbo, ZHU Lijun. Stacked Capsule Autoencoders Optimization Algorithm Based on Manifold Regularization[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 76 -85 .
[9] ZHAO Ming, LUO Qiulian, CHEN Weimeng, CHEN Jiani. Influence of Control Timing and Strength on the Spreading of Epidemic[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 86 -97 .
[10] YANG Xiufeng, FAN Jianghua. Connectedness of the Strong Efficient Solution Set for Vector Equilibrium Problems[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(2): 98 -105 .