Find transfer function in relation to the disturbance

Main Question or Discussion Point

Suppose you are given a first order system whose transfer function is HP(s) = KP/(TP*s + 1).

Now, you want to control this system using a standard P (proportional) controller whose transfer function is HR(s) = KR (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) = (KR*KP)/(TP*s + 1 + KR*KP ).

I am also given the transfer function in relation to the disturbance, which is H0v(s) = (KP)/(TP*s + 1 + KR*KP ), but I don't understand how this is calculated.

This is the system:
DSC_0179_2.jpg


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

Thanks!
 

Answers and Replies

Grinkle
Gold Member
653
181
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).
 

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