Name

des2tf — descriptor to transfer function conversion

Calling Sequence

[S]=des2tf(sl)
[Bfs,Bis,chis]=des2tf(sl)

Parameters

sl

list (linear system in descriptor form)

Bfs, Bis

two polynomial matrices

chis

polynomial

S

rational matrix

Description

Given the linear system in descriptor form i.e. Sl=list('des',A,B,C,D,E), des2tf converts sl into its transfer function representation:

 
S=C*(s*E-A)^(-1)*B+D

Called with 3 outputs arguments des2tf returns Bfs and Bis two polynomial matrices, and chis polynomial such that:

 
S=Bfs/chis - Bis

chis is the determinant of (s*E-A) (up to a xcative constant);

Examples

 
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

See Also

glever , pol2des , tf2des , ss2tf , des2ss , rowshuff

Authors

F. D.