.IndustrialControlSystems.LinearSystems.Discrete.ComplexPoles

Process with complex poles

Information

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

Revisions

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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