.Modelica_LinearSystems2.Math.Matrices.Internal.reorderRSF

Information

Syntax

(To, Qo, wr, wi) = Matrices.Internal.reorderRSF(iscontinuous, T, Q, alphaReal, alphaImag)

Description

Reorder real Schur form used for pole assignment design for continuous or discrete systems. For a continuous system (iscontinuous = true), those eigenvalues of A will not be modified by the eigenvalue assignment algorithm which real part is negative. For a discrete system (iscontinuous = false), eigenvalues of moduli less then one will not be modified.

See also

reorderRSFc for continuous systems or reorderRSFd for discrete systems.

Interface

function reorderRSF
  extends Modelica.Icons.Function;
  input Boolean iscontinuous;
  input Real T[:, :] "Upper quasi-triangular matrix in Schur canonical form";
  input Real Q[:, size(T, 2)] "Matrix of Schur vectors";
  input Real alphaReal[size(T, 1)] "Real part of eigenvalue = alphaReal + i*alphaImag";
  input Real alphaImag[size(T, 1)] "Imaginary part of eigenvalue = alphaReal + i*alphaImag";
  output Real To[size(T, 1), size(T, 2)] "Reordered Schur form";
  output Real Qo[size(T, 1), size(T, 2)] "Reordered Schur vectors";
  output Real wr[size(T, 2)] "Reordered eigenvalues, real part";
  output Real wi[size(T, 2)] "Reordered eigenvalues, imaginary part";
end reorderRSF;