Description
In this example have been tested the Derivative controller.
The process to be controlled has the following transfer function
Y(s) (1+15s)
---- = ----------------
U(s) s(1+10s)(1+2s)
There are three processes:
- without controller,
- with a D controller,
- and a D controller with bias signal
The output signal of the process without control diverges (due to the presence of an integrator) and is not reported.
In the closed loop system, the derivative controller cannot reach the SP reference, but it remains in a neighborhood of it.
The disturb (pink signal) can be rejected using the bias signal of the controller (green line), otherwise the action
does not reach a satisfactory performance (the Process Variable move away from the Set Point reference).
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.
- Industrial Control Systems (v 1.0.0) : April-May 2012
- List of revisions:
- 11 May 2012 (author: Marco Bonvini)
- Main Authors:
- Marco Bonvini; <bonvini@elet.polimi.it>
- Alberto Leva <leva@elet.polimi.it>
- Politecnico di Milano
- Dipartimento di Elettronica e Informazione
- Via Ponzio 34/5
- 20133 Milano - ITALIA -
- Copyright:
- Copyright © 2010-2012, Marco Bonvini and Alberto Leva.
- The IndustrialControlSystems package is free software; it can be redistributed and/or modified under the terms of the Modelica license.
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