[1]刘 旺,王春梅,李 秀,等.一种连续可导滑模切换函数的 PMSM 无传感控制[J].机械与电子,2025,(12):52-58.
 LIU Wang,WANG Chunmei,LI Xiu,et al.A Continuously Differentiable Switching Function-based Sensorless Control Strategy for PMSM[J].Machinery & Electronics,2025,(12):52-58.
点击复制

一种连续可导滑模切换函数的 PMSM 无传感控制()
分享到:

《机械与电子》[ISSN:1001-2257/CN:52-1052/TH]

卷:
期数:
2025年12期
页码:
52-58
栏目:
自动控制与检测
出版日期:
2025-12-23

文章信息/Info

Title:
A Continuously Differentiable Switching Function-based Sensorless Control Strategy for PMSM
文章编号:
1001-2257 ( 2025 ) 12-0052-07
作者:
刘 旺王春梅李 秀李佳鑫
贵州师范大学机械与电气工程学院,贵州 贵阳 550025
Author(s):
LIU Wang WANG Chunmei LI Xiu LI Jiaxin
( School of Mechanical and Electrical Engineering , Guizhou Normal University , Guiyang 550025 , China )
关键词:
永磁同步电机无位置传感控制滑模观测器超螺旋算法锁相环连续可导函数
Keywords:
permanent magnet synchronous motor sensorless control sliding mode observer super-twisting algorithm phase-locked loop continuously differentiable function
分类号:
TM341 ;TP273
文献标志码:
A
摘要:
为解决永磁同步电机无位置传感控制中传统滑模观测器易产生高频抖振与估算精度不高的问题,设计了一种基于改进型超螺旋算法的连续可导滑模观测器,并引入锁相环实现高精度的位置信号提取。该方法通过引入全程连续可导且具备饱和特性的切换函数,替代传统不连续符号函数,显著削弱了系统中的抖振现象,同时增强了系统对扰动的抑制能力。在 MATLAB / Simulink 环境下搭建完整控制仿真平台,对比双曲正切函数滑模结构与所提方法,结果表明:所提方法在转速跟踪响应中几乎无超调,扰动下恢复速度快,稳态误差显著减小;在位置估算方面误差峰值下降超过 60% ,曲线更加平滑贴合真实值;转矩波动幅度降低近一半,电流响应保持较高对称性与稳定性。上述结果验证了所提方法在动态性能、观测精度与系统鲁棒性方面较传统控制结构具有显著优势,为永磁同步电机在复杂工况下的高性能无位置传感控制提供了可靠的技术路径。
Abstract:
To address the issues of high-frequency chattering and low estimation accuracy in conventional sliding mode observers ( SMOs ) used for sensorless control of permanent magnet synchronous motors ( PMSMs ), this paper proposes a continuously differentiable super-twisting observer enhanced with a phase locked loop ( PLL ) for precise rotor position extraction.The approach replaces the traditional discontinuous sign function with a smooth switching function that is both continuously differentiable and saturated , effectively suppressing chattering while improving robustness to external disturbances.A comprehensive control model is developed in MATLAB / Simulink to evaluate the proposed method against the conventional SMO based on hyperbolic tangent functions.Simulation results demonstrate that the improved observer exhibits near zero overshoot in speed tracking , faster recovery under load disturbances , and significantly reduced steady state errors.Rotor position estimation error peaks are reduced by over 60% , and the observed trajectory smoothly and closely matches the actual position.Torque ripple is nearly halved , and three-phase current profiles maintain high symmetry and stability.These findings confirm that the proposed method offers notable advantages in dynamic response , estimation precision , and system robustness , making it a promising solution for sensorless PMSM control in complex operating conditions.

参考文献/References:

[ 1 ] 王高林,张国强,贵献国,等 . 永磁同步电机无位置传感器混合控制策略[ J ] . 中国电机工程学报, 2012 , 32( 24 ): 103-109.

[ 2 ] 谢然,高常进,张清鹏,等 . 永磁同步电动机控制技术综述[ J ] . 中国特种设备安全, 2023 , 39 ( 1 ): 7-11.
[ 3 ] HOU Q K , DING S H , YU X H , et al.A super-twisting-like fractional controller for SPMSM drive system [ J ] .IEEE Transactions on industrial electronics , 2021 , 69 ( 9 ): 9376-9384.
[ 4 ] 张立伟,李行,宋佩佩,等 . 基于新型滑模观测器的永磁同步电机无传感器矢量控制系统[ J ] . 电工技术学报,2019 , 34 (增刊 1 ): 70-78.
[ 5 ] LIU G , ZHANG H F , SONG X D.Position-estimation deviation-suppression technology of PMSM combining phase self-compensation SMO and feed-forward PLL [ J ] .IEEE Journal of emerging and selected topics in power electronics , 2020 , 9 ( 1 ): 335-344.
[ 6 ] GONG C , HU Y H , GAO J Q , et al.An improved delay-suppressed sliding-mode observer for sensorless vector-controlled PMSM [ J ] .IEEE Transactions on industrial electronics , 2019 , 67 ( 7 ): 5913-5923.
[ 7 ] 陈卓易,屈稳太 . 基于 PID 型代价函数的永磁同步电机模型预测电流控制[ J ] . 电工技术学报, 2021 , 36 ( 14 ):2971-2978.
[ 8 ] REDDY C U , PRABHAKAR K K , SINGH A K , et al. Speed estimation technique using modified stator current error-based MRAS for direct torque controlled induction motor drives [ J ] .IEEE Journal of emerging and selected topics in power electronics , 2019 , 8 ( 2 ):1223-1235.
[ 9 ] SUN X D , ZHANG Y , TIAN X , et al.Speed sensorless control for IPMSMs using a modified MRAS with gray wolf optimization algorithm [ J ] .IEEE Transactions on transportation electrification , 2021 , 8 ( 1 ): 1326-1337.
[ 10 ] GAO F T , YIN Z G , ZHANG P J , et al.A position sensorless control method robust to inductance mismatch for SynRM based on generalized multiple model resonant Kalman filter [ J ] .IEEE Transactions on power electronics , 2024 , 39 ( 5 ): 5510-5521.
[ 11 ] 张荣芸,郑常胜,时培成,等 . 基于改进 PSO 与广义五阶 CKF 算法的 PMSM 无传感器控制[ J ] . 电机与控制学报,2021 , 25 ( 7 ): 120-128.
[ 12 ] 张晓虎,赵吉文,王立俊,等 . 基于自适应互联扩展卡尔曼观测器的永磁同步直线电机高精度抗干扰在线多参数辨识[ J ] . 中国电机工程学报, 2022 , 42 ( 12 ): 4571-4581.
[ 13 ] 毕广东,张国强,王高林,等 . 高频信号注入永磁电机系统转子位置估计偏差在线补偿方法[ J ] . 中国电机工程学报,2022 , 42 ( 19 ): 7205-7213.
[ 14 ] CHEN S , DING W , WU X , et al.Novel random high frequency square-wave and pulse voltage injection scheme-based sensorless control of IPMSM drives [ J ] .IEEE Journal of emerging and selected topics in power electronics , 2022 , 11 ( 2 ): 1705-1721.
[ 15 ] 巩磊,何派,石勇,等 . 主动磁悬浮轴承非奇异快速终端滑模转子位置控制[ J ] . 西南交通大学学报, 2025 ,60 ( 4 ): 976-985.
[ 16 ] ZHANG M M , XIA B Y , ZHANG J.Parameter design and convergence analysis of flux observer for sensorless PMSM drives [ J ] .IEEE Transactions on energy conversion , 2022 , 37 ( 4 ): 2512-2524.
[ 17 ] LIAN C Q , XIAO F , GAO S , et al.Load torque and moment of inertia identification for permanent magnet synchronous motor drives based on sliding mode observer [ J ] .IEEE Transactions on power electronics , 2018 , 34 ( 6 ): 5675-5683.
[ 18 ] CHEN Y , LI M , GAO Y W , et al.A sliding mode speed and position observer for a surface-mounted PMSM [ J ] .ISA Transactions , 2019 , 87 : 17-27.

相似文献/References:

[1]柯希彪1,郭 琳1,2,等.基于模糊滑模控制策略的永磁同步电机控制[J].机械与电子,2019,(08):60.
 ,,et al.Permanent-magnet Synchronous Motor Control Based on Fuzzy Sliding Mode Control Strategy[J].Machinery & Electronics,2019,(12):60.
[2]张 旭,孙永荣,陈 悦,等.基于ILC算法的飞机主动侧杆位置控制研究[J].机械与电子,2019,(12):42.
 ZHANG Xu,SUN Yongrong,CHEN Yue,et al.Research on Position Control of Active Sidestick Based on ILC Algorithm[J].Machinery & Electronics,2019,(12):42.
[3]柯希彪1,3,郭 琳1,等.永磁同步电机积分滑模观测器控制[J].机械与电子,2020,(05):59.
 ,,et al.Integral Sliding Mode Observer Control ofPermanent Magnet Synchronous Motor[J].Machinery & Electronics,2020,(12):59.
[4]成旭明,段 杰,肖 息,等.粒子群优化的变论域模糊 PI 机电作动器控制[J].机械与电子,2022,(01):42.
 CHENG Xuming,DUAN Jie,XIAO Xi,et al.Variable Universe Fuzzy PI Control of Electro-mechanical Actuator Based on Particle Swarm Optimization[J].Machinery & Electronics,2022,(12):42.
[5]孙 凯,张友海,刘道国,等.齿轮加工机床用永磁同步电机直接转矩控制方法[J].机械与电子,2023,41(07):52.
 SUN Kai,ZHANG Youhai,LIU Daoguo,et al.Direct Torque Control Method of Permanent Magnet Synchronous Motor for Gear Machining Machine Tool[J].Machinery & Electronics,2023,41(12):52.
[6]张 超,郭 辉,袁 涛,等.永磁同步电机低频谐波电流对电磁噪声影响[J].机械与电子,2023,41(08):3.
 ZHANG Chao,GUO Hui,YUAN Tao,et al.Effect of Low Frequency Harmonic Current on Electromagnetic Noise of Permanent Magnet Synchronous Motor[J].Machinery & Electronics,2023,41(12):3.
[7]吴 昊,孙永荣,孙旭东,等.基于 MPC 算法的飞机主动侧杆杆力控制研究[J].机械与电子,2023,41(08):33.
 WU Hao,SUN Yongrong,SUN Xudong,et al.Research on Stick Force Control of Active Side Stick Based on MPC Algorithm[J].Machinery & Electronics,2023,41(12):33.
[8]李海鹏,李 辉.降弓惰行高铁永磁同步电机转子转速自抗扰控制技术[J].机械与电子,2024,42(12):66.
 LI Haipeng,LI Hui.Active Disturbance Rejection Control Technology for Rotor Speed of High-speed Permanent Magnet Synchronous Motor in Coasting of Electric Trains with Pantographs Lowered[J].Machinery & Electronics,2024,42(12):66.
[9]郭正刚,吴海斌,邹 玮,等.基于转子磁链的 PMSM 死区自适应补偿策略[J].机械与电子,2025,(07):67.
 GUO Zhenggang,WU Haibin,ZOU Wei,et al.Adaptive Compensation Strategy for Dead-zone in PMSM Based on Rotor Flux Linkage[J].Machinery & Electronics,2025,(12):67.
[10]郭正刚,赵 彪,于景奇,等.基于模糊自抗扰控制的液压悬架电机调速研究[J].机械与电子,2025,(08):73.
 GUO Zhenggang,ZHAO Biao,YU Jingqi,et al.Research on Speed Regulation of Hydraulic Suspension Motor Based on Fuzzy Active Disturbance Rejection Control[J].Machinery & Electronics,2025,(12):73.

备注/Memo

备注/Memo:
收稿日期: 2025-08-23
作者简介:刘 旺 ( 1998- ),男,贵州遵义人,硕士研究生,研究方向为电机控制;王春梅( 1981- ),女,重庆垫江人,博士,副教授,硕士研究生导师,研究方向为电机控制;李 秀( 1999- ),女,贵州贵阳人,硕士研究生,研究方向加工制造;李佳鑫 ( 1999- ),女,河南南阳人,硕士研究生,研究方向为加工制造。
更新日期/Last Update: 2026-01-05