.Modelica_LinearSystems2.StateSpace.Transformation.toStaircaseForm

Information

Syntax

ss_sc = StateSpace.Transformation.toStaircaseForm(ss, method)

Description

This function computes the upper staircase form state space system.

Example

Modelica_LinearSystems2.StateSpace ss=Modelica_LinearSystems2.StateSpace(
   A=[17.0,   24.0,    1.0,    8.0,   15.0;
      23.0,    5.0,    7.0,   14.0,   16.0;
       4.0,    6.0,   13.0,   20.0,   22.0;
      10.0,   12.0,   19.0,   21.0,    3.0;
      11.0,   18.0,   25.0,    2.0,    9.0],
   B=[-1.0,   -4.0;
       4.0,    9.0;
      -9.0,  -16.0;
      16.0,   25.0;
     -25.0,  -36.0],
   C=[1, 0, 1, 0, 0;
      0, 1, 0, 1, 1],
   D=[0, 0;
      0, 0]);

algorithm
  ss_sc:=Modelica_LinearSystems2.StateSpace.Transformation.toStaircaseForm(ss);
  ss_sc=StateSpace(
    A=[-1, 0; 0, -2],
    B=[1; 0],
    C=[1, 0],
    D=[0])

Interface

encapsulated function toStaircaseForm
  import Modelica;
  import Modelica_LinearSystems2;
  import Modelica_LinearSystems2.StateSpace;
  input StateSpace ss "State space system";
  input Modelica_LinearSystems2.Utilities.Types.StaircaseMethod method = Modelica_LinearSystems2.Utilities.Types.StaircaseMethod.SVD "Method for staircase algorithm";
  output StateSpace ss_sc(redeclare Real A[size(ss.A, 1), size(ss.A, 2)], redeclare Real B[size(ss.B, 1), size(ss.B, 2)], redeclare Real C[size(ss.C, 1), size(ss.C, 2)], redeclare Real D[size(ss.D, 1), size(ss.D, 2)]) "Transformed state space system";
end toStaircaseForm;

Revisions