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.
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