Transfer function with Disturbance

[TheNovice]

Homework Statement

Find the steady-state error due to a disturbance Td(s) = 1/s.

Set R(s) = 0.

if given a system:

Homework Equations

n/a

The Attempt at a Solution

I need Y(s)/Td(s). To do this I must find Y(s) in terms of the transfer function Y(s)/R(s) which I have obtained. This gives me an expression for Y(s) in terms of G(s), Gc(s), and R(s).

Now I must solve for Y(s)/Td(s).

If Td(s) = 1/s, then I should just multiply Y(s) by s and be done with it. However, the book gets a totally different answer.

specifically, I am not sure how R(s) disappears along with the rest of the numerator in the result.

Thanks for your time.

 

[rude man]

Homework Statement

Find the steady-state error due to a disturbance Td(s) = 1/s.
Set R(s) = 0.
if given a system:
View attachment 83444

Homework Equations

n/a

The Attempt at a Solution

I need Y(s)/Td(s). To do this I must find Y(s) in terms of the transfer function Y(s)/R(s) which I have obtained.
.

Why? R(s) = 0!

 

[LvW]

Your transfer function is valid for the R(s) input only.
The function referred to the Td(s) input looks different!