markp2ss

Markov parameters to state-space

Calling Sequence

[sl]=markp2ss(markpar,n,nout,nin)

Arguments

:markpar matrix : :n,nout,nin integers : :Sl syslin list :

Description

given a set of n Markov parameters stacked in the (row)-matrix markpar of size nout`X `(n*nin) markp2ss returns a state-space linear system sl ( syslin list) such that with [A,B,C,D]=abcd(sl):

C*B = markpar(1:nout,1:nin),
C*A*B =markpar(1:nout,nin+1:2*nin),....

Examples

W=`ssrand`_(2,3,4);   //random system with 2 outputs and 3 inputs
[a,b,c,d]=`abcd`_(W);
markpar=[c*b,c*a*b,c*a^2*b,c*a^3*b,c*a^4*b];
S=markp2ss(markpar,5,2,3);
[A,B,C,D]=`abcd`_(S);
Markpar=[C*B,C*A*B,C*A^2*B,C*A^3*B,C*A^4*B];
`norm`_(markpar-Markpar,1)
//Caution... c*a^5*b is not C*A^5*B !

See Also

• frep2tf transfer function realization from frequency response
• tf2ss transfer to state-space
• imrep2ss state-space realization of an impulse response