【摘要】 由于采用传统的比例积分微分PID(ProportionIntegrationDifferential)控制难以保证其优良的稳定性和抗扰能力,采用了基于H∞控制系统的混合灵敏度的优化设计思想,在对轴向磁轴承H∞控制进行分析的基础上将H∞控制应用于磁轴承的控制器设计中。借助于Matlab的线性矩阵不等式LMI(LinearMatrixInequation)工具箱进行仿真,给出了H∞控制和PID控制的仿真波形。采用实时离散化处理的方法,通过编写控制程序在计算机控制系统中执行设计的控制器,实现了磁轴承的H∞控制。给出了H∞控制磁轴承在无外扰力和2kg外扰力情况下转子起浮实验波形,同时给出了轴向磁轴承在平衡位置受2kg突加扰动时PID控制和H∞控制的实验波形。仿真和实验表明:基于H∞理论的控制比传统的PID控制具有更好的稳定性、较强的鲁棒性和抑制扰动的能力。更多还原

【Abstract】 Considering that the stable operation cannot be easily established with conventional PID controller,the optimized designing idea based on the mixable sensibility of H ∞ control system is adopted in magnetic bearing controller.The H ∞ control of magnetic bearing is discussed.The simulation using Matlab LMI tool box gives out the simulative waveforms of H ∞ control and PID control.The H ∞ control of magnetic bearing is realized by applying real-time discretization and digital controller,which is a control program and runs in computer control system.The rotor levitation waveforms of H ∞ controlled magnetic bearing without and with external force of2kg are shown.The radial displacement waveforms of the magnetic bearing controlled by H ∞ theory and PID are also shown,which is disturbed by a sudden external force of2kg at equilibrium position.The results of both simulation and experiment show that the controller based on H ∞ theory has better stability and robustness than conventional PID controller does.Found ation project:This project is under the sponsorship of National Natural Science Fund(59977009)and Aeronautic Science Fund(99F52044).更多还原