CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function G(s)=Ks(s1)(s4) is

A
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 1
OLTFG(s)=Ks(s1)(s4)

Now, characteristics equation,

1+G(s)H(s)=0

Ks(s1)(s4)+1=0

Ks+(s25s+4)=0

K=(s25s+4)s=[s5+4s]

For break away point :

dKds=0

dKds=[1+04s2]=0

we get, s=±2

Therefore valid break away point is s = 2.

Now gain at s = 2 is

K=Product of distance from all poles to break away pointproduct of distance from all the zeros to break away point

Gain,K=1×22=1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Gain Calculation
CONTROL SYSTEMS
Watch in App
Join BYJU'S Learning Program
CrossIcon