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.

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  lqe  

Author

F.D.