sysfact

Arguments

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.

Examples

//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 — LQ compensator (full state)
• lqe — linear quadratic estimator (Kalman Filter)