modelAdd

Sum of two real numbers

Extends from IndustrialControlSystems.MathOperations.RealType.Interfaces.RealSimpleOperation (Real operation interface).

Information

Description

Sum of two real numbers. The output ( y ) is the sum of the inputs ( u1, u2 ) signals.

    y = u1 + u2
  

Fixed Point numbers

When using fixed point real numbers, Nbit is the number of bits that can be represented. The range is

  Xfp in [-2Nbit - 1 + 1  ,...,  2Nbit - 1]
  
Then it is possible to define a scaleFactor
  X = Xfp/scaleFactor
  
When the Fixed Point representation is selected (through the selection of the boolean flag FixedPoint), each input number u is converted into an integer Ufp
  Ufp = u*scaleFactor
  
then the result of the math operation Yfp is computed and converted into the output value y. The output conversion depends on the math operation performed.

Saturation

To note that the Fixed Point numbers have a maximum and minimum value. In order to avoid saturation when
performing the computations, the number of bit as well the scale factor have to be choosen carefully.

Parameters

TypeNameDefaultDescription
RealTs (from RealSimpleOperation)0.1sampling time
IntegerNbit (from RealSimpleOperation)16 Number of bits for representing the real numbers
Fixed Point
BooleanFixedPoint (from RealSimpleOperation)falseUse fixed point real numbers
RealscaleFactor (from RealSimpleOperation)1Scale factor for Fixed Point numbers
IntegerMAX (from RealSimpleOperation)integer(2^(Nbit - 1))maximum number that can be represented with Fixed Point notation
IntegerMIN (from RealSimpleOperation)-integer(2^(Nbit - 1)) + 1minimum number that can be represented with Fixed Point notation

Connectors

TypeNameDefaultDescription
Modelica.Blocks.Interfaces.RealInputu1 (from RealSimpleOperation)input
Modelica.Blocks.Interfaces.RealInputu2 (from RealSimpleOperation)input
Modelica.Blocks.Interfaces.RealOutputy (from RealSimpleOperation)output

Components

TypeNameDefaultDescription
IntegerU1fp (from RealSimpleOperation)floating point converted input
IntegerU2fp (from RealSimpleOperation)floating point converted input
IntegerYfp (from RealSimpleOperation)floating point converted 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.