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

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.