Hi Jason Gauthier,
I do not see any troubles in constructing the transfer function you wrote above:
Gp = tf(1, [1 10 0]);
Gc = 0.8*tf([1 12.5],1);
H = tf(1,1);
Gp/(1 + Gc*Gp*H)
Result:
>> ans =
s^2 + 10 s
--------------------------------
s^4 + 20.8 s^3 + 118 s^2 + 100 s
Continuous-time transfer function.
The result shows the transfer function without cancelling poles and zeros. If you do so, you come up with the same transfer function behaviour:
bodeplot(Gp/(1+Gc*Gp*H))
hold on
bodeplot(tf(1,[1 10.8 10]))
Kind regards,
Robert
