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pfss
partial fraction decomposition
Syntax
elts=pfss(Sl) elts=pfss(Sl,rmax) elts=pfss(Sl,cord) elts=pfss(Sl,rmax,cord)
Arguments
Description
Partial fraction decomposition of the linear system Sl
.
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
Saccording 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 by tf2ss
and each subsystem Si
is then converted in
transfer form by ss2tf.
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
,
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.
Examples
num=22801+4406.18*s+382.37*s^2+21.02*s^3+s^4; den=22952.25+4117.77*s+490.63*s^2+33.06*s^3+s^4 h2=syslin('c',num/den);
See also
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