I have a system G(s). It has no zeroes, but some poles.
When applying unity negative feedback, with a static gain K, why does K remain on the numerator of my transfer function T(s) which describes the whole closed loop system?
If I have no zeroes, Z(s), then surely K multiplied by Z(s) is 0? But it is K.
In addition, in the denominator, there is another term that is again, K multiplied by Z(s). No zeroes, but this term simplifies to K, and not 0.
I understand that Z(s) is a function, and normally takes the form (s+3)(s+1) or something, but if there are no zeroes, can someone explain why K remains on the numerator?