Robust Control Toolbox

Convert descriptor system into SVD state-space form.

Syntax

• [aa,bb,cc,dd] = des2ss(a,b,c,d,E,k) 
  [ss1] = des2ss(ss,E,k)
  

Description
des2ss converts a descriptor system [1]

into state-space form G₂(s):

via the singular value decomposition (SVD) of the matrix E (E may be singular with n - rank(E) = < n)

where

Algorithm
Converting descriptor system into SVD coordinates can be carried out easily by applying a series of strict system equivalence (s.s.e.) transformations to the Rosenbrock system matrix [2].

See Also
ohklmr, hinf, linf

References
[1] D. G. Luenberger, "Dynamic Equations in Descriptor Form", IEEE Trans. on Automat. Contr., AC-22, No. 3, Jun. 1977.

[2] M. G. Safonov, R. Y. Chiang, and D. J. N. Limebeer, "Hankel Model Reduction without Balancing -- A Descriptor Approach," Proc. IEEE Conf. on Decision and Control, Los Angeles, CA, Dec. 9-11, 1987.

daresolv

driccond