传递函数的幅角定义探讨

摘要

在诸多经典自动控制原理的教材中,对传递函数频率特性的幅角定义十分模糊甚至不准确,传递函数的幅角求取和幅角定义不完全一致,这使得学生在课堂学习以及自学后对于幅角的求取往往会出现两种不同的结果。本文从对幅角定义出发,分析了现存教材中幅角定义和求取不一致的原因,最后给出了一个比较完整的传递函数幅角定义修正方案和计算公式。%In some textbook of theory of classical automation control, the definition of angle of amplitude for the transfer function is wery obscure and even inaccuracy, meanwhile the resolution and definition of the angle of the amplitude do not fit well with each other in the same textbook, which makes the students have the different answer to the same problem of angle of amplitude. Thus, this paper analysis the reason of the difference between definition of angle of amplitude and resolution based on the definition of angle of amplitude in mathematics. Finally, a more complete definition of angle of amplitude and analytical computation equation is provided.