.IndustrialControlSystems.Controllers.Examples.TestPI_bias

Information

Description

In this example have been tested the Proportional + Integral controller.
The process to be controlled has the following transfer function

   Y(s)          (1+15s)
   ----  =  ----------------
   U(s)       (1+10s)(1+2s)

There are three processes:

without controller,
with a PI controller,
and a PI controller with bias signal

The output signal of the process without control is the red line. Of course the system performs poorly, in particular when an external disturb is applied.
In the closed loop system, the proportional + integral controller reach the SP with a null steady state error. The disturbance can be rejected using the bias signal of the controller (pink line).

Discrete time

If the model parameter Ts is >=0 the continuous time controllers are replaced by their discrete time versions.
The effect of various discretisation method can be studied.

Revisions

Industrial Control Systems (v 1.0.0) : April-May 2012