Robust Control Toolbox | ![]() ![]() |
Stable and antistable projection.
Slow and fast modes decomposition.[a1,b1,c1,d1,a2,b2,c2,d2,m] = stabproj(a,b,c,d) [a1,b1,c1,d1,a2,b2,c2,d2] = slowfast(a,b,c,d,cut) [ss1,ss2,m] = stabproj(ss) [ss1,ss2] = slowfast(ss,cut)
Description
stabproj
computes the stable and antistable projections of a minimal realization G(s) such that
m
returns the number of stable eigenvalues of A.
Slowfast
computes the slow and fast modes decompositions of a system G(s) such that
Algorithm
Both stabproj
and slowfast
employ the algorithm in [1] as follows:
blksch
or rschur
such thatstabproj
; slowfast
.
Finally solving the matrix equation for XSee Also
blkrsch
, cschur
, rschur
, schur
References
[1] M. G. Safonov, E. A. Jonckheere, M. Verma and D. J. N. Limebeer, "Synthesis of Positive Real Multivariable Feedback Systems", Int. J. Control, vol. 45, no. 3, pp. 817-842, 1987.
![]() | ssv | tfm2ss | ![]() |