.Modelica_LinearSystems2.TransferFunction.Analysis.eigenValues

Information

Syntax

eigenvalues = TransferFunction.Analysis.eigenValues(tf)

Description

Calculate the eigenvalues of the corresponding state space representation of a transfer function. The output is a complex vector containing the eigenvalues. Note, that the conversion of the transfer function does not result in a minimal state space system. Therefore also unobservable and uncontrollable eigenvalues will be calculated.

Example

  TransferFunction s = Modelica_LinearSystems2.TransferFunction.s();
  Modelica_LinearSystems2.TransferFunction tf=(s+1)/(s^2+s+1);

  Complex eigenvalues[2];

algorithm
  eigenvalues = Modelica_LinearSystems2.TransferFunction.Analysis.eigenValues(tf);
// eigenvalues = {-0.5 + j*sqrt(3)/2, -0.5 - j*sqrt(3)/2}

Interface

function eigenValues
  import Modelica;
  import Modelica_LinearSystems2.Math.Polynomial;
  import Modelica_LinearSystems2.TransferFunction;
  import Modelica_LinearSystems2.StateSpace;
  import Modelica_LinearSystems2.Math.Complex;
  input TransferFunction tf "transfer function of a system";
  output Complex eigval[:] "eigen values of the system";
end eigenValues;