基于多频采样的永磁直线同步电机H∞鲁棒离散控制

摘要：本文提出一种基于多频采样的H∞鲁棒控制器设计方法，同时探讨了该控制器在永磁直线同步电机中的应用。通过理论分析与求解线性矩阵不等式，文章得出使闭环控制系统鲁棒稳定的充分条件。仿真实验结果表明，该控制器与传统的PID控制器相比，可以有效的抑制由模型参数摄动和负载扰动等引起的不确定性，从而提高了控制系统的整体鲁棒性能。此外，本文中控制器的设计基于离散时阈，此方法比传统的连续时阈设计方法具有更好的硬件可实现性和更广泛的应用性。

关键词：多频采样滤波，H∞鲁棒控制，永磁直线同步电机，线性矩阵不等式

Abstract: This paper proposes a H∞ controller design method on the basis of multirate sampling technique, and its applications in the permanent magnetic linear synchronous motor (PMLSM) system. Through the theoretical derivation and linear matrix inequality (LMI), we obtain sufficient conditions for the robust stability of the closed-loop system. The simulation results show that compared to the conventional PID controller, the proposed H∞ controller can achieve a better robustness against model uncertainty. In this paper, the controller design is carried out in discrete-time domain, which can benefit from a direct implementation in practical application.

Key words: multirate sampling filter, H∞ robust control, permanent magnetic linear synchronous motor (PMLSM), linear matrix inequality (LMI)