pole-placement design (' diophantine ')

this program measures the parameters of forward path gain and the feedback gain

This function can be used for measuring the parameters of forward path gain and the feedback gain for a pole-placement controller design

[F G]=dio(A,B,Am)

if
f*a+g*b=am

a=1+(a1)*z^-1+(a2)*z^-2+....+(an)*z^-n
b=(b0)+(b1)*z^-1+(b2)*z^-2+....+(bm)*z^-m
am=(am0)+(am1)*z^-1+...+(amr)*z^-r
f=(f0)+(f1)*z^-1+...+(fp)*z^-p
g=(g0)+(g1)*z^-1+...+(gq)*z^-q

then
A=[1 a1 ... an]
B=[b0 b1 ... bn]
Am=[am0 am1 ... amr]
F=[f0 f1 ... fp]
G=[g0 g1 ... gp]