Description
Discretised version of the continuous time transfer function of a process with complex poles.
Y(s) 1
---- = mu ------------------------------------
U(s) (1 + s*2*xi/omegan + (s/omegan)^2)
The damping coefficient xi must be between [0,1].
Discretisation
The discretisation of the continuos time transfer function has been performed with the bilinear transformation formula
z - 1
s = ------------------------------
z*alpha*Ts - (alpha - 1)*Ts
that is equivalent to
- Forward Euler (FE) if
alpha = 0
- Backward Euler (BE) if
alpha = 1
- Tustin (TU) if
alpha = 0.5
- 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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