Order System Descriptions
A first order system has a differential equation - given below.
With this differential equation, the terms are:
If the differential equation is Laplace transformed we get:
Response of the System,
Input to the System,
= The System Time Constant,
= The DC Gain of the System.
+ X(s) = GdcU(s), or, solving for the transfer function,
Transfer Function = X(s)/U(s)