modelBasicComparisonComplex

Comparison of the various discretisation methods (Complex Poles)

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

Description of the example

In this example are shown the step responces of a first order linear systems:

  • continuous,
  • discretised with BE,
  • discretised with FE,
  • and discretised with TU

Comparison

Parameters

TypeNameDefaultDescription
Complex poles
Realmu_cpx2Complex poles process gain
Realomegan_cpx1Complex poles natural frequency
Realxi_cpx0.4Complex poles damping factor
Realy_start_cpx0Complex poles initial value
Realdy_start_cpx0Complex poles initial slope
Discretisation
RealTs0.5Sampling time

Components

TypeNameDefaultDescription
Realerror_BEcplxP.y - cplxP_dig_BE.y
Realerror_FEcplxP.y - cplxP_dig_FE.y
Realerror_TUcplxP.y - cplxP_dig_TU.y
Continuous.ComplexPolescplxP
Discrete.ComplexPolescplxP_dig_BE
Discrete.ComplexPolescplxP_dig_FE
Discrete.ComplexPolescplxP_dig_TU
Modelica.Blocks.Sources.StepstepSignal

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.