I have to apply a z-transformation to my transfer function which looks like this:
$$\frac{K}{s} - \frac{K\cdot T}{T\cdot s}+1$$
I have tried it and this is my result:
$$K \cdot \frac{z}{z-1} - K \cdot \frac{z}{z-e^{-1}}$$
I do not know what the result should look like so I would like to ask you guys to help me with this. Can anyone prove my result? And if it is wrong can you correct me and explain why is my result not correct please? I would like to learn the z - transformation correctly.
EDIT: As Matt says, I am trying to convert my transfer function from s domain to discrete z-domain.