电励磁直线同步电动机磁悬浮系统H_(∞)鲁棒控制的研究  

Research on H_(∞)robust control of magnetic levitation system of electrically excitation linear synchronous motor

作　　者：蓝益鹏[1] 张明慧 LAN Yipeng;ZHANG Minghui(School of Electric Engineering,Shenyang University of Technology,Shenyang 110870,CHN)

机构地区：[1]沈阳工业大学电气工程学院,辽宁沈阳110870

出　　处：《制造技术与机床》2022年第1期71-76,共6页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金资助项目(51575363)。

摘　　要：为解决电励磁直线同步电动机磁悬浮系统状态变量之间的非线性和不确定性扰动问题,提出一种磁悬浮系统H_(∞)鲁棒控制方法。由电励磁直线同步电动机磁悬浮系统的运行机理,建立电励磁直线同步电动机悬浮系统的悬浮力方程和运动方程,推导悬浮系统的状态空间模型,针对状态空间模型的非线性,在平衡工作点处对其进行线性化,将系统对扰动的抑制问题归结为H_(∞)鲁棒控制器的设计,通过解Riccati不等式的正定解,得到悬浮系统的H_(∞)鲁棒控制器。最后,采用MATLAB/Simulink软件进行仿真研究,通过与PI控制比较,结果证明H_(∞)鲁棒控制方法可使电励磁直线同步电动机具有良好的抑制扰动的能力。In order to solve the nonlinearity of state variables,disturbance and parameter uncertainty of magnetically levitated linear synchronous motor,a H_(∞)robust control method of magnetically levitated system was proposed.By electric excitation linear synchronous motor running mechanism of the magnetic levitation system,establish electric excitation linear synchronous motor suspension system of levitation force equation and the equation of motion,the state space model of suspension system is derived,in view of the nonlinear state space model,adopt the method of balance linearization for linearization,the system of disturbance rejection problem due to the design of the controller,By solving the positive definite solution of the Riccati inequality,the H_(∞)robust controller of the suspension system is obtained.Finally,MATLAB/Simulink software is used for simulation research.Compared with the PI control,the results show that the H_(∞)robust control method can make the electroexcited linear synchronous motor have good disturbance suppression ability.

关 键 词：电励磁直线同步电动机 磁悬浮系统 平衡点线性化 H_(∞)鲁棒控制 RICCATI不等式 

分 类 号：TM341[电气工程—电机]