Find transfer function in relation to the disturbance

[TheDoctor46]

Suppose you are given a first order system whose transfer function is H_P(s) = K_P/(T_P*s + 1).

Now, you want to control this system using a standard P (proportional) controller whose transfer function is H_R(s) = K_R (a proportionality coefficient).

There is also disturbance that acts upon this system and the system in analyzed in closed-loop (feed-back loop).

If you calculate the closed-loop transfer function, H₀(s) = (K_R*K_P)/(T_P*s + 1 + K_R*K_P ).

I am also given the transfer function in relation to the disturbance, which is H_0v(s) = (K_P)/(T_P*s + 1 + K_R*K_P ), but I don't understand how this is calculated.

This is the system:

The question is: how do I calculate the transfer function in relation to the disturbance?

Thanks!

 

[Grinkle]

Take your finger and trace the path of the disturbance through your block diagram and think about the path it takes getting to y (the output).