ppol

Scilab Function
Last update : April 1993

ppol - pole placement

### Calling Sequence

  `[K]=ppol(A,B,poles)`

### Parameters

- `A,B` : real matrices of dimensions `nxn` and `nxm` .
- `poles` : real or complex vector of dimension `n` .
- `K` : real matrix (negative feedback gain)

### Description

`K=ppol(A,B,poles)` returns a mxn gain matrix `K` such that the eigenvalues of `A-B*K` are `poles` . The pair `(A,B)` must be controllable. Complex number in `poles` must appear in conjugate pairs.

An output-injection gain `F` for `(A,C)` is obtained as follows:

`Ft=ppol(A',C',poles); F=Ft'`

The algorithm is by P.H. Petkov.

### Examples

    A=rand(3,3);B=rand(3,2);
    F=ppol(A,B,[-1,-2,-3]);
    spec(A-B*F)

### See Also

`canon` , `stabil` ,