永磁同步电机伺服系统采样H_∞控制

Sampling H_∞ Control on PMSM Servo System

本文提出永磁同步电机伺服系统采样H_∞控制方案。基于采样状态反馈控制器,建立了永磁同步电机伺服采样闭环控制系统,同时给出了其采样H_∞性能定义。为了解决该采样H_∞控制问题,利用滞后法,将采样闭环控制系统转化为连续系统,并给出了控制器存在的线性矩阵不等式条件。仿真结果表明:在参数摄动和负载扰动的情况下,该控制策略能使永磁同步电机转速快速跟踪收敛到参考目标值,响应速度快,且稳定性好,鲁棒性强。

In this paper, the sampling H∞ control scheme is presented for a permanent magnet synchronous motor （PMSM） servo system.The sampling closed-loop system is established based on the sampling state feedback controller for the PMSM servo system.The definition of sampling H∞ performance is also given.In order to solve the problem of the sampling H∞ control,the sampling closed-loop system is transformed into a continuous system by the time delay method.Then, the existence conditions of the controller are derived based on linear matrix inequality（LMI） technology.Simulation results show that the proposed control scheme makes the rotational speed of the PMSM track the reference value quickly in the case of parameter variant and load disturbance.It also has the characteristics such as fast response, better stability and strong robust.