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pfss Scilab Group Scilab Function pfss
NAME
pfss - partial fraction decomposition
CALLING SEQUENCE
elts=pfss(Sl)
elts=pfss(Sl,rmax)
elts=pfss(Sl,'cord')
elts=pfss(Sl,rmax,'cord')
PARAMETERS
Sl : syslin list (state-space or transfer linear system) rmax : real
number controlling the conditioning of block diagoanalization cord :
character string 'c' or 'd'.
DESCRIPTION
Partial fraction decomposition of the linear system Sl (in state-space
form, transfer matrices are automatically converted to state-space form
by tf2ss):
elts is the list of linear systems which add up to Sl i.e.
elts=list(S1,S2,S3,...,Sn) with:
Sl = S1 + S2 +... +Sn.
Each Si contains some poles of S according to the block-diagonalization
of the A matrix of S.
For non proper systems the polynomial part of Sl is put in the last entry
of elts.
If Sl is given in transfer form, it is first converted into state-space
and each subsystem Si is then converted in transfer form.
The A matrix is of the state-space is put into block diagonal form by
function bdiag. The optional parameter rmax is sent to bdiag. If rmax
should be set to a large number to enforce block-diagonalization.
If the optional flag cord='c' is given the elements in elts are sorted
according to the real part (resp. magnitude if cord='d') of the
eigenvalues of A matrices.
EXAMPLE
W=ssrand(1,1,6);
elts=pfss(W);
W1=0;for k=1:size(elts), W1=W1+ss2tf(elts(k));end
clean(ss2tf(W)-W1)
SEE ALSO
pbig, bdiag, coffg, dtsi
AUTHOR
F.D.
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