以纯滞后时间为参变量的根轨迹新性质  

New Root Locus Properties with Respect to Time Delay

作　　者：董宇[1] 

机构地区：[1]华南师范大学计算机学院,广东广州510631

出　　处：《计算技术与自动化》2011年第4期23-28,共6页Computing Technology and Automation

摘　　要：文献[1]得到一组以纯滞后时间为参变量的根轨迹性质,但在确定根轨迹穿越虚轴的方向、根轨迹的终止点和根轨迹的渐近线的过程中存在错误。本文提出计算根轨迹出射角和入射角的方法,并对文献[1]中存在的错误进行修正。利用根轨迹的性质,可以确定闭环系统的时滞稳定区间。A set of root locus properties with respect to the time delay are derived in [1].However,there exist mistakes in determining the direction which the root locus crosses the imaginary axis,terminating points of the root loci and asymptotes of the root loci.In this paper,methods to calculate the angles of departure and arrival of the root loci are proposed,also the mistakes found in [1] are corrected.Using the root locus properties,the stability delay interval of the closed-loop system is obtained.

关 键 词：根轨迹 纯滞后 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]