.Modelica_LinearSystems2.TransferFunction.Analysis.controllabilityMatrix

Information

Syntax

Q = TransferFunction.Analysis.controllabilityMatrix(tf, method)

Description

Calculate the controllability matrix

Q = [B, A*B, ..., A^(n-1)*B]

of the system corresponding state space system

der(x) = A*x + B*u;
    y  = C*x + D*u;

of a transfer function.

Example

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

  Real Q[2,2];

algorithm
  Q := Modelica_LinearSystems2.TransferFunction.Analysis.controllabilityMatrix(tf);
// Q = [0, 1, 1, -1]

Interface

encapsulated function controllabilityMatrix
  import Modelica_LinearSystems2.StateSpace;
  import Modelica_LinearSystems2.TransferFunction;
  input TransferFunction tf "transfer function of a system";
  output Real om[:, :];
end controllabilityMatrix;