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markp2ss Scilab Group Scilab Function markp2ss
NAME
markp2ss - Markov parameters to state-space
CALLING SEQUENCE
[sl]=markp2ss(markpar,n,nout,nin)
PARAMETERS
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 noutX(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),....
EXAMPLE
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, tf2ss, imrep2ss
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