磁悬浮飞轮磁轴承系统变增益H_∞控制器设计  

Gain scheduled H_∞ controller design for magnetic bearing system of flywheel

作　　者：韩辅君[1] 房建成[1] 刘刚[1] 

机构地区：[1]北京航空航天大学仪器科学与光电工程学院,北京100191

出　　处：《系统工程与电子技术》2008年第9期1748-1751,共4页Systems Engineering and Electronics

摘　　要：针对磁悬浮飞轮转子的陀螺效应问题和转子不平衡质量引起的同频扰动问题,在对磁悬浮飞轮进行了系统分析与建模后,将转速变化引起的陀螺项看作系统的参数变化项,将转子系统看作是线性参变(LPV)转子系统,应用凸优化原理和线性矩阵不等式方法(LMI)设计了变增益H∞控制器。仿真结果表明:由于在控制器设计时考虑了陀螺效应和同频干扰的影响,系统在减少了保守性的基础上具有很好的动静态特性和鲁棒性。Aiming at the gyroscopic effect in flat rotor and synchronization disturbance caused by unbalance mass, a gain scheduled H∞ controller is designed after the analysis and modeling for the rotor system which is a linear parameter varying （LPV） system. The part of the gyroscopic effect caused by varying speed is regarded as the varying parameter of the system. The convex optimization algorithms and the linear matrix inequality （LMI） are used here. Simulation results show that the system with gain scheduled H∞ controller has better characters in static state, dynamic state and robustness on a reducing conservatism basis.

关 键 词：磁轴承 线性变参 变增益H∞控制 线性矩阵不等式法 

分 类 号：TP133.3[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]