For characteristics of nonlinearity. time-varying volatility and nonstationarity to disturbance of hoisting system of PMLSM. an improved PMLSM speed-regulation system was designed on basis of established PMLSM d-q axis dynamic mathematical model and BP neural network PID control. The system modifies the fixed learning rate in BP neural network to a self-adaptive one. https://hollandscountryclothinges.shop/product-category/trainer-socks/