奇异摄动系统主导极点配置的一种方法

An Approach to Dominant Pole Assignment in Singularly Perturbed Systems

本文将奇异摄动系统看成是存在参数扰动的广义系统的一种特殊形式,然后利用广义系统特征结构配置来使广义系统的有限闭环极点尽可能接近奇异摄动系统的闭环主导极点,从而达到近似配置奇异摄动系统主导极点的目的,本文提供的算法是数值稳定的。

In this paper a singularly perturbed system is regarded as a singular system with perturbations in the system data. The eigenstructure is assigned for the singular system so that its finite closed-loop poles are as near as possible to the prescribed dominant poles of the singularly perturbed system. Hence, we can assign approximately the prescribed dominant poles of the singularly perturbed system. The algorithms in this paper are numerically stable.