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  

Author

F. D.