Longitudinal Vibration Suppression in Mine Hoisting Systems Based on LQR Algorithm
In response to the elastic characteristics of steel wire ropes and the longitudinal vibration caused by external disturbances in mine hoisting systems,a linear quadratic regulator controller is designed for a vibration suppression device based on an accurate model.The longitudinal vibration equation of the friction hoisting system under perturbation excitation is established using the generalized Hamilton principle.Experimental data is utilized to validate the correctness of the model,laying the foundation for the design of the linear quadratic regulator controller.Simulation results indicate that the linear quadratic regulator control algorithm effectively suppresses vibrations caused by external disturbances and rapidly attenuates vibrations induced by parking brakes,reducing the vibration acceleration by 59.87％.Convergence is achieved in just 1.37 seconds.This research provides a feasible and effective theoretical basis for vibration control in hoisting systems,offering strong support for relevant engineering practices.
linear quadratic regulator controlfriction hoisting systemvibration frequencyHamilton principletime-varying wire rope
万方数据
维普
