Mu Analysis and Synthesis Toolbox

Calculate the eigenvalues of a SYSTEM A matrix

Syntax

• out = spoles(sys)
  

Description
spoles returns the eigenvalues of the A matrix from the SYSTEM matrix sys.

Examples
Find the poles of the two input, one output, three state SYSTEM matrx sys.

• A = [1 1 1; 3 1 1; 1 1 -2]; 
  B = 2*ones(3,2); 
  C = 3*ones(1,3); 
  D = 4*ones(1,2); 
  sys = pck(A,B,C,D); 
  minfo(sys)
  system: 3 states1 outputs2 inputs
  spoles(sys)
      3.1474
      -0.8186
      -2.3289
  eig(A)
  ans =
      3.1474
      -0.8186
      -2.3289
  

Algorithm
spoles uses the MATLAB command schur to find the eigenvalues of the SYSTEM A matrix. This is a more numerically reliable method than using the eig function.

See Also
eig, rifd, schur, szeros

simgui

srelbal, sfrwtbal, sfrwtbld, sncfbal, sdecomp