.Modelica_LinearSystems2.WorkInProgress.Old.ZerosAndPolesEvaluate

Information

Syntax

result = ZerosAndPoles.Analysis.evaluate(zp, p, den_min=0)

Description

Function Analysis.evaluate evaluates the ZerosAndPoles transfer function at a given (complex) value of p and returns the value G(p)=N(p)/D(p). The optional argument den_min with default 0 is used to guard against a division by zero.

  if |(D(p))| >= den_min then
     G(p) = N(p) / D(p);
  elseif D(p).re >= 0.0 then
     G(p) = N(p) / den_min
  else
     G(p) = -N(p) / den_min
  end if;

Example

  Complex j = Modelica_LinearSystems2.Math.Complex.j();
  ZerosAndPoles p = Modelica_LinearSystems2.ZerosAndPoles.p();
  Modelica_LinearSystems2.ZerosAndPoles zp=(p+1)/(p^2+p+1);

  Complex result;

algorithm
  result := Modelica_LinearSystems2.ZerosAndPoles.Analysis.evaluate(zp, j+1);
//  result = 0.538462 - 0.307692j

See also

Math.Polynomial.evaluateComplex

Interface

encapsulated function ZerosAndPolesEvaluate
  import Modelica.Utilities.Streams.print;
  import Modelica;
  import Modelica_LinearSystems2;
  import Modelica_LinearSystems2.ZerosAndPoles;
  import Modelica_LinearSystems2.ZerosAndPoles.Internal;
  import Modelica_LinearSystems2.Math.Complex;
  input ZerosAndPoles zp "ZerosAndPoles transfer function of a system";
  input Complex p = Complex(0) "Complex value p where zp is evaluated";
  input Real den_min(min = 0) = 0 "|denominator(p)| is limited by den_min";
  output Complex y "= zp(p)";
end ZerosAndPolesEvaluate;

Revisions