.Modelica_LinearSystems2.DiscreteStateSpace.Analysis.eigenValues

Information

Syntax

eigenvalues = DiscreteStateSpace.Analysis.eigenValues(dss)

Description

Calculate the eigenvalues of a discrete state space system, i.e. the eigenvalues of the system matrix A of a discrete state space system. The output is a complex vector containing the eigenvalues.
The eigenvalues ev_d of the discrete system are related to the eigenvalues of the corresponding continuous system ev_c by

ev_d = exp(Ts*ev_c).

Example

  StateSpace ss=Modelica_LinearSystems2.StateSpace(
    A=[-1,1;-1,-1],
    B=[1;1],
    C=[1,1],
    D=[0],
    B2=[0;0],
    Ts=0.1);

  DiscreteStateSpace dss=DiscreteStateSpace(ss, Ts=0.1);

  Complex eigenvalues[2];

algorithm
  eigenvalues = Modelica_LinearSystems2.DiscreteStateSpace.Analysis.eigenValues(dss);
// eigenvalues = {0.900452 + 0.0904977*j, 0.900452 - 0.0904977*j}
//

Interface

encapsulated function eigenValues
  import Modelica;
  import Modelica_LinearSystems2;
  import Modelica_LinearSystems2.DiscreteStateSpace;
  import Modelica_LinearSystems2.Math.Complex;
  input DiscreteStateSpace dss "Discrete state space system";
  output Complex eigvalues[size(dss.A, 1)] = Complex.eigenValues(dss.A) "Eigenvalues of the system";
end eigenValues;