wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The open loop poles of a third order unity feedback system are at 0, -1, -2. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be K. Now suppose we introduce a zero in the open loop transfer function at - 3, while keeping all the earlier open loop poles intact. Which one of the following is TRUE about the point where the root locus of the modified system transits to unstable region?

A
It corresponds to a frequency greater than K
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
It corresponds to a frequency less than K
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
It corresponding to a frequency K
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Root locus of modified system never transits to unstable region
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Root locus of modified system never transits to unstable region
K(s+3)s(s+1)(s+2)

P = 3, Z = 1

P - Z = 3 - 1 = 2

Asymptotes angle=900,1800

Centroid=(3)(3)2=0

as root locus never cross assymptotes so, will remain in left side of x-axis.


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