首页> 中文期刊> 《电机与控制学报》 >基于α逆系统理论磁轴承数学模型及控制系统

基于α逆系统理论磁轴承数学模型及控制系统

         

摘要

A linearization control research based on α-th order inverse system method has been developed for an axial hybrid magnetic bearing, which is a nonlinear system. The configuration of the axial hybrid magnetic bearing is briefly introduced, the working principle of the hybrid magnetic bearing is analyzed, and then the suction equations are set up. Based on expounding α-th order inverse system method, and aiming at dynamics model of the axial hybrid magnetic bearing, the feasibility of linearization control is discussed in detail, the linearization control arithmetic based on α-th order inverse system method is deduced, and then close system controller is designed. Finally, the simulation system is set up with Matlab software. The step response of system, the start up displacement curve of rotor and the performance of anti-disturbance of system are simulated. The simulation results have shown that the α-th order inverse system control strategy can realize accurate linearization for nonlinear mathematical model of the axial hybrid magnetic bearing, and the designed close control system has good dynamic and static performance.%采用α阶逆系统方法, 对轴向混合磁轴承这一非线性控制对象进行线性化控制研究.介绍了轴向混合磁轴承的结构并分析了其工作原理, 推导出轴向混合磁轴承吸力方程.在阐述了α阶逆系统方法的基础上, 针对轴向混合磁轴承动力学模型分析了基于α阶逆系统方法线性化控制的可行性, 推导出基于α阶逆系统方法的线性化算法,并设计了闭环系统控制器.最后利用Matlab软件环境, 构建了仿真系统, 针对系统的阶跃响应、转子起浮、抗干扰性能等进行了仿真和分析.仿真试验结果表明α阶逆系统策略能够对混合磁轴承数学模型精确线性化, 设计的闭环控制系统具有良好的动、静态性能.

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