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Control Systems
Root Locus Technique

Practice questions from Root Locus Technique.

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Q#1 Root Locus Technique GATE EE 2025 (Set 1) MSQ +1 mark -0 marks

The open-loop transfer function of the system shown in the figure, is

 

For , which of the following real axis point(s) is/are on the root locus?

-1

-4

-6

-10

Explanation:

 

( Root locus lies on real axis when the sum of poles and zeros on its right side is odd).

Root locus lies from  to  and  to .

from the given options, -1 and -6 lies on the Root locus.

Hence, option (a) & (c) is correct.

Q#2 Root Locus Technique GATE EE 2024 (Set 1) NAT +2 marks -0 marks

Consider the closed-loop system shown in the figure with

 

The root locus for the closed-loop system is to be drawn for . The angle of departure (between and ) of the root locus branch drawn from the pole , in degrees, is __________ (rounded off to the nearest integer)

Explanation:

 

Poles:

Zeroes: