带纯滞后一阶惯性对象系统振铃问题分析

The Ringing Analysis of First-order Inertia System with Time-delay

现有“计算机控制”课程教材对于带有纯滞后一阶惯性对象系统的大林算法振铃现象存在“有条件存在振铃”和“不存在振铃”2种差异较大的结论。本文从被控对象脉冲传递函数极零点成因及其与控制量暂态响应的关系两个方面分析,得出在滞后时间是采样时间整数倍情况下,该对象系统不存在振铃现象的结论。为了减小控制量输出变化幅度,更安全的方法是消除所有可能的振铃因子。

There are two conclusions about the ring of first-order inertia system with time-delay which are“the presence of ring under certain conditions”and“no ring”in“computer control”course textbooks.This article comes to the conclusion that first-order inertia system does not exist ring through the analysis of pole and zero causes of impulse transfer functionand and the relationship between the causes and controlled variable transient response in the case where delay time is integer multiple of sampling time.In order to reduce control value variation,a safe way is to eliminate all possible ring factors.