A Novel <italic style="font-style: italic">K</italic><sub>∞</sub>-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors

JIN Dongsong; WEI Yuzhuo; WU Qilong; LIU Ling; DU Jinhua

doi:10.7652/xjtuxb202609004

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A Novel K_∞-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors

更新时间：2026-09-04

- A Novel K_∞-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors
- Journal of Xi'an Jiaotong University Vol. 60, Issue 9, Pages: 30-38(2026)
- 作者机构：
  
  西安交通大学电气工程学院,710049,西安
  西安交通大学物理学院,710049,西安
  西安交通大学高能高功率脉冲电源全国重点实验室,710049,西安
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202609004
  CLC： TM301
- Received：27 March 2026，
  
  Online First：12 June 2026，
  
  Published：10 September 2026
- 稿件说明：
移动端阅览
JIN Dongsong, WEI Yuzhuo, WU Qilong, et al. A Novel K_∞-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors[J]. Journal of Xi'an Jiaotong University,2026,60 (9):30-38. https://doi.org/10.7652/xjtuxb202609004.
DOI：

JIN Dongsong, WEI Yuzhuo, WU Qilong, et al. A Novel K_∞-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors[J]. Journal of Xi'an Jiaotong University,2026,60 (9):30-38. https://doi.org/10.7652/xjtuxb202609004. DOI：

摘要

针对永磁同步电机（PMSM）无位置传感器驱动中，磁链观测器存在谐波干扰及对电气参数失配和负载变化的鲁棒性差等问题，提出了一种基于新型

∞

等效滑模控制（

∞

-ESMC）的无位置传感器驱动策略。首先，在系统干扰及其导数未知的情况下，为实现系统状态的有限时间收敛，结合超螺旋算法、等效控制理论与

∞

函数，设计了一种新型

∞

-ESMC方法，并根据李雅普诺夫稳定性理论证明了其收敛性；然后，为分别提高转子位置信息的观测性能和对电气参数失配及负载变化等干扰的鲁棒性，采用提出的

∞

-ESMC方法，分别设计了自适应混合有效磁链观测器（HAFO）和自适应转速观测器。实验结果表明：相比基于经典HAFO的驱动方法，提出的驱动策略提高了电机的动态性能和对电气参数失配及负载变化的鲁棒性，在宽速域变速测试中，最大转速观测误差减少了约34 r/min，最大位置观测误差减少约0.4 rad；在1.5 N·m阶跃负载测试中，电机可在约1.93 s内恢复至500 r/min运行；除此之外，在定子电阻的50%与200%失配测试中呈现了良好的鲁棒性。

Abstract

To address harmonic interference in flux observers and poor robustness to electrical parameter mismatches and load variations in position-sensorless drives of permanent magnet synchronous motors（PMSMs）

a position-sensorless drive strategy based on a novel

∞

-function-based equivalent sliding mode control（

∞

-ESMC）is proposed.First

to achieve finite-time convergence of the system states when system disturbances and their derivatives are unknown

a novel

∞

-ESMC method is designed by combining the super-twisting algorithm

equivalent control theory

and the

∞

-ESMC function

and its convergence is proved based on Lyapunov stability theory.Then

∞

to improve rotor-position observation performance and robustness to disturbances such as electrical parameter mismatches and load variations

an adaptive hybrid active flux observer（HAFO）and an adaptive speed observer are designed using the proposed-ESMC method.It is shown by experimental results that

compared with the drive method based on the conventional HAFO

the dynamic performance of the motor and its robustness to electrical parameter mismatches and load variations are improved by the proposed strategy.In wide-speed-range variable-speed tests

the maximum speed observation error is reduced by approximately 34 r/min

and the maximum position observation error is reduced by approximately 0.4 rad.In the 1.5 N·m step-load test

operation at 500 r/min is restored within approximately 1.93 s.In addition

good robustness is demonstrated under stator-resistance mismatch conditions of 50% and 200%.

关键词

Keywords

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DU Jinhua

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Related Institution

National Key Laboratory for High Energy Pulsed Power，Xi’an Jiaotong University

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Department of Electrical Engineering, Tsinghua University

⁰

A Novel K∞-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors

DOI：10.7652/xjtuxb202609004

摘要

Abstract

关键词

Keywords

references

A Novel K_∞-Function-Based Equivalent Sliding Mode Control for Position-Sensorless Drives of Permanent Magnet Synchronous Motors