CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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! We‘ve got your back. Try BYJU‘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! We‘ve got your back. Try BYJU‘S free classes today!
D
127(1+s9)(1+53)
No worries! We‘ve got your back. Try BYJU‘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)

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Cost Curve
ECONOMICS
Watch in App
Join BYJU'S Learning Program
CrossIcon