基于Delta算子的永磁直线同步电机非脆弱保性能速度控制器设计

利用Delta算子离散化系统采样周期是显式参数的特点,基于Delta算子方法对永磁直线同步电机(PMLSM)不同采样周期下的非脆弱保性能速度控制器的统一化设计问题进行研究.以线性矩阵不等式(LMI)给出该控制器的存在条件.通过对PMLSM闭环系统极点的分析,表明所设计的非脆弱保性能速度控制器不但能保证PMLSM在其对象参数和控制器参数同时发生范数有界摄动时闭环系统仍保持渐近稳定,而且系统的二次型性能指标上界的数学期望值不超过某个给定的上界,而不考虑控制器参数摄动情况所设计的控制器在其参数摄动时闭环系统将无法保持稳定.

Delta operator-based non-fragile guaranteed-cost speed controller for permanent magnet linear synchronous motor

Based on Delta operator, in which the sampling period is an explicit variable, a unified design method of non-fragile guaranteed-cost speed controller for permanent magnet linear synchronous motor (PMLSM) under different sampling period is studied. The condition of existence of the controller is given in LMI form. In the pole analysis of the PMLSM, we find that even if the parameters of the PMLSM and the controller are subject to additive norm-bounded variations, the closed-loop system is still asymptotically stable, and the upper bound of the mathematical expectation of the cost function can be obtained as well. However, the closed-loop system will be unstable if the controller gain variations are not considered.