modelMult

Product of two real numbers

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

Information

Description

product of two real numbers. The output ( y ) is the product 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 [-2^{Nbit - 1} + 1  ,...,  2^{Nbit - 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

Type	Name	Default	Description
Real	Ts (from RealSimpleOperation)	0.1	sampling time
Integer	Nbit (from RealSimpleOperation)	16	Number of bits for representing the real numbers
Fixed Point
Boolean	FixedPoint (from RealSimpleOperation)	false	Use fixed point real numbers
Real	scaleFactor (from RealSimpleOperation)	1	Scale factor for Fixed Point numbers
Integer	MAX (from RealSimpleOperation)	integer(2^(Nbit - 1))	maximum number that can be represented with Fixed Point notation
Integer	MIN (from RealSimpleOperation)	-integer(2^(Nbit - 1)) + 1	minimum number that can be represented with Fixed Point notation

Connectors

Type	Name	Description
Modelica.Blocks.Interfaces.RealInput	u1 (from RealSimpleOperation)	input
Modelica.Blocks.Interfaces.RealInput	u2 (from RealSimpleOperation)	input
Modelica.Blocks.Interfaces.RealOutput	y (from RealSimpleOperation)	output

Components

Type	Name	Description
Integer	U1fp (from RealSimpleOperation)	floating point converted input
Integer	U2fp (from RealSimpleOperation)	floating point converted input
Integer	Yfp (from RealSimpleOperation)	floating point converted output

Revisions

Industrial Control Systems (v 1.0.0) : April-May 2012