Home » Control Systems » Control systems miscellaneous » Question
  1. For the signal flow graph shown below, the transmittance between X2 and X1 is—


    1. rsu + efh
      1 - st1 - fg

    2. rsu + efh
      1 - fg1 - st

    3. efh + rsu
      1 - ru1 - eh

    4. rst + rsu
      1 - eh1 - st
Correct Option: A

Here forward paths are
P1 = rsu, P2 = efh
apply Manson's gain formula,
gain = x2/x1
bottom:2px;">

P1Δ1 + P2Δ2
Δ
where,
Δ1 = (1 – fg)
Δ2 = (1 – st)
= 1 – (fg + st) + fgst
so,
x2
=
rus (1 -fg) + efh(1 - sf)
x11 - (fg + st) + fgst

or
x2
=
rus (1 -fg) + efh(1 - sf)
x1(1 - st) (1 - fg)

or
x2
=
rus
+
efh
x11 - st (1 - fg)



Your comments will be displayed only after manual approval.