1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
|
.TH des2tf 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
des2tf - descriptor to transfer function conversion
.SH CALLING SEQUENCE
.nf
[S]=des2tf(sl)
[Bfs,Bis,chis]=des2tf(sl)
.fi
.SH PARAMETERS
.TP 12
sl
: list (linear system in descriptor form)
.TP
Bfs, Bis
: two polynomial matrices
.TP
chis
: polynomial
.TP
S
: rational matrix
.SH DESCRIPTION
Given the linear system in descriptor form i.e.
\fVSl=list('des',A,B,C,D,E)\fR, \fVdes2tf\fR converts \fVsl\fR into
its transfer function representation:
.nf
S=C*(s*E-A)^(-1)*B+D
.fi
Called with 3 outputs arguments \fVdes2tf\fR returns
\fVBfs\fR and \fVBis\fR two polynomial matrices, and \fVchis\fR
polynomial such that:
.nf
S=Bfs/chis - Bis
.fi
\fVchis\fR is the determinant of \fV(s*E-A)\fR (up to a xcative constant);
.SH EXAMPLE
.nf
s=poly(0,'s');
G=[1/(s+1),s;1+s^2,3*s^3];
Descrip=tf2des(G);Tf1=des2tf(Descrip)
Descrip2=tf2des(G,"withD");Tf2=des2tf(Descrip2)
[A,B,C,D,E]=Descrip2(2:6);Tf3=C*inv(s*E-A)*B+D
.fi
.SH SEE ALSO
glever, pol2des, tf2des, ss2tf, des2ss, rowshuff
.SH AUTHOR
F. D.
|
