中立型延时系统不稳定特征根的计算  

Computation of Unstable Characteristic Roots of Neutral Delay Systems

作　　者：曾莉[1] 胡广大[1] 

机构地区：[1]北京科技大学自动化学院自动化系,北京100083

出　　处：《自动化学报》2013年第1期81-87,共7页Acta Automatica Sinica

摘　　要：提出了一种基于幅角原理计算一类中立型延时系统的所有不稳定特征根的算法.通过将右半复平面内的有界矩形区域或半圆形区域连续划分成较小的区域,能够有效地获得所有不稳定特征根的初始近似位置.以这些近似位置作为牛顿法的初始值,可迭代得到所有不稳定特征根的较好近似值.数值算例显示了算法的有效性.We present an algorithm based on the argument principle for computing all unstable characteristic roots of a class of neutral time delay systems. By consecutively subdi- viding a bounded rectangular or half circular region on the right half complex plane into smaller ones, initial approximate po- sitions of all unstable roots can be located efficiently and ac- curately. With these approximate positions as starting points for Newtonts method, approximations for all roots are refined iteratively. The performance of the algorithm is shown by an example.

关 键 词：中立型延时系统 特征根 幅角原理 寻根 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]