modelDiscreteBaseBlock

Partial discrete time block interfaces

Extends from BaseBlock (Partial continuous time block interfaces).

Information

Description

Partial interface for a discretised continuous time block.
Each block has a single input anda single output (SISO).

Discretisation

For each block is defined a sampling time Ts and a coefficient alpha.
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

Parameters

TypeNameDefaultDescription
Discretisation
RealTs0.01Sampling time [s]
IndustrialControlSystems.LinearSystems.Discrete.Types.discrMethodmethodIndustrialControlSystems.LinearSystems.Discrete.Types.discrMethod.BEDiscretisation method

Connectors

TypeNameDefaultDescription
Modelica.Blocks.Interfaces.RealInputu (from BaseBlock)input
Modelica.Blocks.Interfaces.RealOutputy (from BaseBlock)output

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.