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sysfact Scilab Group Scilab Function sysfact
NAME
sysfact- system factorization
CALLING SEQUENCE
[S,Series]=sysfact(Sys,Gain,flag)
PARAMETERS
Sys : syslin list containing the matrices [A,B,C,D].
Gain : real matrix
flag : string 'post' or 'pre'
S : syslin list
Series : syslin list
DESCRIPTION
If flag equals 'post', sysfact returns in S the linear system with ABCD
matrices (A+B*Gain, B , Gain, I), and Series, a minimal realization of
the series system Sys*S. If flag equals 'pre', sysfact returns the
linear system (A+Gain*C, Gain , C, I) and Series, a minimal realization
of the series system S*Sys.
AUTHOR
F.D.
EXAMPLE
//Kalman filter
Sys=ssrand(3,2,4);Sys('D')=rand(3,2);
S=sysfact(Sys,lqr(Sys),'post');
ww=minss(Sys*S);
ss2tf(gtild(ww)*ww),Sys('D')'*Sys('D')
//Kernel
Sys=ssrand(2,3,4);
[X,d,F,U,k,Z]=abinv(Sys);
ss2tf(Sys*Z)
ss2tf(Sys*sysfact(Sys,F,'post')*U)
SEE ALSO
lqr, lqe
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