任金霞, 黄艺培, 蒋梦倩.PMSM分数阶模型参考自适应调速系统研究[J].河南理工大学学报（自然科学版）,2020,39(3):108-113.

REN J X, HUANG Y P, JIANG M Q.Study on PMSM fractional-order model reference adaptive speed control system[J].Journal of Henan Polytechnic University(Natural Science) ,2020,39(3):108-113.

PMSM分数阶模型参考自适应调速系统研究

任金霞, 黄艺培, 蒋梦倩

江西理工大学 电气工程与自动化学院，江西 赣州341000

摘要:永磁同步电动机具有高功率密度和高效率等优点，被广泛用于高性能伺服以及其他工业中。针对永磁同步电机易受外界扰动而引起转速变化的问题，提出一种基于分数阶Lyapunov稳定性理论的模型参考自适应控制方法，对转速进行估计。首先以永磁同步电机的成q轴电流方程建立参考模型和可调模型；其次利用参考模型和可调模型输出的电流估计误差得到转速误差信息，转速作为可调参数；最后应用基于分数阶的Lyapunov稳定性理论，设计分数阶自适应律，以此代替传统自适应律中的PI控制，得出新的转速估计式。在MATLAB/Simulink环境下，以不同工况进行仿真实验，结果表明，该方法能够较好地估计电机的转速，永磁同步电机的动态性能和稳态性能均得到提高，调速系统具有更好的鲁棒性。

关键词:永磁同步电机;分数阶;Lyapunov稳定性理论;模型参考自适应控制

doi:10.16186/j.cnki.1673-9787.2020.3.14

基金项目:国家自然科学基金资助项目（51665018 ）

收稿日期:2019/08/16

修回日期:2019/10/25

出版日期:2020/05/15

Study on PMSM fractional-order model reference adaptive speed control system

REN Jinxia, HUANG Yipei, JIANG Mengqian

College of Electrical Engineering and Automation， Jiangxi University of Science and Technology， Ganzhou 341000 ， Jiangxi， China

Abstract:Permanent magnet synchronous motors （ PMSM ） are widely used in high performance servo and other industrial applications due to their high power density and high efficiency. Aiming at the problem that the permanent magnet synchronous motor is susceptible to external disturbances to cause the changing of the rotational speed， a model reference adaptive method based on fractional-order Lyapunov stability theory was proposed to estimate the rotational speed. Firstly， the reference model and the adjustable model were established based on the current model of PMSM ， then the rotational speed error information was obtained by using the current output estimated error of the reference model and the adjustable model， and the speed was used as an adjustable parameter. Finally， the fractional-order Lyapunov stability theory was applied to design the fractional-order adaptive law to instead of the PI control in the traditional adaptive law， and a new speed estimation formula was obtained. The simulations were carried out in the MATLAB/Simulink environment， and the simulation experiments were carried out under different working conditions. The results showed that the proposed method could estimate the motor speed well. The dynamic performance index and steady state performance index of permanent magnet synchronous motor were improved， and the specd lontrol system had better robustness.

Key words:permanent magnet synchronous motor;fractional-order;Lyapunov stability theory;model reference adaptive control

PMSM分数阶模型参考自适应调速系统研究_任金霞.pdf