functionfromFactorization

Generate a DiscreteZerosAndPoles data record from first and second order polynomials

Information

Syntax

dzp = 'constructor'.fromFactorization(n1, n2, d1, d2, k, Ts, method)
dzp = 'constructor'.fromFactorization(n1, n2, d1, d2, k, Ts, method, uName, yName)

Description

This function constructs a DiscreteZerosAndPoles transfer function from the real first and scond order polynomials of the numerator and the denominator, respectively.

Example

              (q + 0.1)
dzp = 4 * -----------------
          (q + 1)*(q - 0.1)

is defined as

  import Modelica_LinearSystems2.Math.Complex;
  import Modelica_LinearSystems2.DiscreteZerosAndPoles;

  dzp = DiscreteZerosAndPoles(n1={0.1},n2=fill(0,0,2), d1={1,-0.1}, d2=fill(0,0,2), k=4);

which is equal to

  dzp = DiscreteZerosAndPoles(n1={0.1},n2=fill(0,0,2), d1=fill(0,0), d2=[0.9, -0.1], k=4);

Inputs

Type	Name	Default	Description
Real[:]	n1	fill(0, 0)	[p^0] coefficients of 1st order numerator polynomials
Real[:,2]	n2	fill(0, 0, 2)	[p,p^0] coefficients of 2nd order numerator polynomials
Real[:]	d1	fill(0, 0)	[p^0] coefficients of 1st order denominator polynomials
Real[:,2]	d2	fill(0, 0, 2)	[p,p^0] coefficients of 2nd order denominator polynomials
Real	k	1.0	Multiplicative factor of transfer function
Modelica.Units.SI.Time	Ts	1	Sample time
Modelica_LinearSystems2.Utilities.Types.Method	method	Modelica_LinearSystems2.Utilities.Types.Method.Trapezoidal	Discretization method
String	uName	""	input name
String	yName	""	output name

Outputs

Type	Name	Default	Description
DiscreteZerosAndPoles	dzp		ZerosAndPoles transfer function