Question

1) Find the function of C as a function of R R(S) 61 H

Answer 1

Step 1:

if

G=Forward path transfer function

H=feedback transfer function

Then the transfer function of Closed-loop system

RS) + H (S)

C(s) R(s) G(s) 1+G(s)H(s)

Now Simplify the I part of the block diagram

G₁=Forward path transfer function

H₁=feedback transfer function

621 _ cls) ItCiti Hek

Step 2:

Simplify the II part of the block diagram

G1 C(s) 1+GH GH R(s 1+1+GH1

G C(s) R(S) 1+ G H + G, H2

- RS) Cal 1+2, H, + G21 Ha sco,

Then

G C(s) R(S) 1+ G H + G, H2

G C(s) = 1+ G (H2 + H2)