以纯滞后时间为参变量的根轨迹新性质
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引用本文:董宇.以纯滞后时间为参变量的根轨迹新性质[J].计算技术与自动化,2011,(4):23-28
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作者单位
董宇 (华南师范大学 计算机学院,广东 广州510631) 
中文摘要: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。
中文关键词:根轨迹  纯滞后  稳定性
 
New Root Locus Properties with Respect to Time Delay
Abstract: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.
keywords:root iocus  time delay  stability
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