A standard 1st order control system is given by:
In a standard 1st order control system an open loop with gain is connected with a unity negative feedback loop.
The overall transfer function of the system can be written as :
Where, G(s) is the open loop forward gain .
As we can se the overall power of s in denominator is still unity hence the system is of order 1.
We can rewrite the equation as:
C(s) is the laplace transform of the output signal,
R(s) is the laplace transform of the input signal,
T is the time constant
We can get the response by using the following steps:
Take laplace transform of the input signal and get R(s).
Substitute R(s) in the equation :
Take inverse laplace transform to get a response in time domain.
Standard Test signals can be used as input signal to get the specific time response.
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