To solve the problem of the sensorless control method of a permanent magnet synchronous motor, based on the study of a mathematical model for a permanent magnet synchronous motor and model adaptation theory, a reference model equation and adjustable model equation are derived according to the stator current equation. The correctness of the selected linear compensator matrix is strictly proved. Then, Popov’s super-stability theory is used to derive the speed adaptive law and prove its asymptotic stability. Based on the voltage closed-loop feedback MTPA weak magnetic control strategy, a simulation model of a MRAS control system based on stator current is built and combined with the principle of MRAS. Aiming to investigate the problem that the PI adaptive law in the traditional MRAS algorithm is not robust, super-twisting sliding mode control is introduced to replace the PI adaptive law. The observer based on STSM−MRAS is designed. The simulation model of the MRAS control system based on the super-twisting sliding mode is established. Under certain working conditions, the STSM−MRAS algorithm and the traditional MRAS algorithm are simulated and compared. The results show that the STSM−MRAS algorithm can improve the steady-state performance and robustness of a sensorless control system.

中文翻译：

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基于超扭滑模算法的无传感器永磁同步电机自适应控制方法

为解决永磁同步电机无传感器控制方法的问题，在研究永磁同步电机数学模型和模型自适应理论的基础上，根据定子电流推导了参考模型方程和可调模型方程。方程。严格证明了所选择的线性补偿器矩阵的正确性。然后，利用波波夫的超稳定理论推导出速度自适应律并证明其渐近稳定性。基于电压闭环反馈MTPA弱磁控制策略，结合MRAS原理，建立了基于定子电流的MRAS控制系统仿真模型。针对传统MRAS算法中PI自适应律不鲁棒的问题，引入超扭曲滑模控制来代替PI自适应律。设计了基于 STSM-MRAS 的观测器。建立了基于超扭滑模的MRAS控制系统仿真模型。在一定工况下，对STSM-MRAS算法和传统MRAS算法进行了仿真比较。结果表明，STSM-MRAS算法可以提高无传感器控制系统的稳态性能和鲁棒性。