ss2tf

Scilab Function
Last update : April 1993

ss2tf - conversion from state-space to transfer function

### Calling Sequence

  `[h]=ss2tf(sl)`
  `[Ds,NUM,chi]=ss2tf(sl)`
  ``
  `[h]=ss2tf(sl,"b")`
  `[Ds,NUM,chi]=ss2tf(sl,"b")`
  ``
  ``
  `[h]=ss2tf(sl,rmax)`
  `[Ds,NUM,chi]=ss2tf(sl,rmax)`
  ``
  ``

### Parameters

- `sl` : linear system (`syslin` list)
- `h` : transfer matrix

### Description

Called with three outputs `[Ds,NUM,chi]=ss2tf(sl)` returns the numerator polynomial matrix `NUM` , the characteristic polynomial `chi` and the polynomial part `Ds` separately i.e.:

    h=NUM/chi + Ds

Method:

One uses the characteristic polynomial and `det(A+Eij)=det(A)+C(i,j)` where `C` is the adjugate matrix of `A` .

With `rmax` or `"b"` argument uses a block diagonalization of sl.A matrix and applies "Leverrier" algorithm on blocks. If given, `rmax` controls the conditionning (see bdiag).

### Examples

    s=poly(0,'s');
    h=[1,1/s;1/(s^2+1),s/(s^2-2)]
    sl=tf2ss(h);
    h=clean(ss2tf(sl))
    [Ds,NUM,chi]=ss2tf(sl)

### See Also

`tf2ss` , `syslin` , `nlev` , `glever` ,