基于LMI的永磁直线电机H∞鲁棒控制器设计  

H∞ robust controller design of permanent magnet linear synchronous motor based on LMI

作　　者：陈国锋[1] 方强[1] 李江雄[1] 

机构地区：[1]浙江大学机械工程学系,浙江杭州310027

出　　处：《机电工程》2011年第6期704-707,共4页Journal of Mechanical & Electrical Engineering

摘　　要：针对永磁直线同步电机(PMLSM)伺服控制中存在的模型摄动和外部干扰问题,保证闭环控制系统的鲁棒稳定和鲁棒性能,将基于状态反馈的H∞鲁棒控制器应用到永磁直线同步电机的速度环和电流环设计中,通过建立伺服系统鲁棒控制的状态空间模型,将H∞标准设计问题转化为线性矩阵不等式(LMI)的最优解求解问题,利用Matlab LMI工具求出最优的H∞鲁棒反馈控制器。研究结果表明该H∞鲁棒控制器对模型参数变化不敏感,扰动抑制能力强,具有较强的鲁棒性。Aiming at the problem of the model parameter uncertainties and external disturbance for permanent magnet linear synchronous motor（PMLSM）servo control,as well as guaranteed robust stability and robust performance of the closed-loop control system,and the H∞ robust controller was designed based on state feed-back in the speed-loop and current-loop.The H∞ robust standard design problem was translated to an optimization solution of the linear matrix inequality（LMI） by building the state space-model of the servo system,then the optimization H∞ robust controller was solved with Matlab LMI tools.The results indicate that the controller can satisfy strong robustness for model parameter uncertainties and restraint disturbance.

关 键 词：永磁直线同步电机 线性矩阵不等式 H∞鲁棒控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TH39[自动化与计算机技术—控制科学与工程]