Question

# The block diagram of a control system is shown in figure. The transfer function G(s) = Y(s)/U(s) of the system is

A
118(1+s12)(1+53)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
127(1+s6)(1+s6)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
127(1+s12)(1+59)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
127(1+s9)(1+53)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is B 127(1+s6)(1+s6)Integrator are representend as 1/s in s-domain As per the block diagram, the corresponding signal flow graph is draw One forward path P1=2/s2 The individual loops are, L1=−35,L2=−12s and L3=−18s L1 and L2 are non-touching loops L1L2=36s2 The loops touches the forward path Δ1=1 The graph determinant is Δ=1−(L1+L2+L3)+L1L2 =1+3s+12s+18s2+36s2 Applying mason's gain formula. G(s)=Y(s)U(s)=P1Δ1Δ =2/s21+3s+12s+18s236s2 =2s2+15s+54=2(s+9)(s+6) 127(1+s6)(1+s6)

Suggest Corrections
1
Related Videos
The Cost Curve
ECONOMICS
Watch in App