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PI Control of an Integrating Process: How it works

Description
How it works









This tool is an application of the Laplace to time domain converter. The closed loop transfer function of the feedback control system consisting of the PI controller and the first order process has the form

(n1s + n
2) / s2 + d1s + d2, where

n
1 = K x C/T
n
2 = (K x C)/(T x TI)
d
1 = K x C/T
d2 = (K x C)/(T x TI)

See how the Laplace to time domain coverter works for more details on getting the step response of the system with the Laplace transform.