GATE EE 2015 Set 2 — Question 64
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Control Systems → Frequency Response & Root Locus → Breakaway & Break-In Points
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Question
An open loop transfer function of a system isFor a unity feedback system, the breakaway point of the root loci on the real axis occurs at,
Correct answer
(A) -0.42
Solution
The characteristic equation for a unity feedback system is .Breakaway points occur where :Solving for using the quadratic formula:This gives and .
On the real axis, the root locus exists between poles at and , and to the left of the pole at .
On the real axis, the root locus exists between poles at and , and to the left of the pole at .
- lies between and , which is a valid part of the root locus.
- lies between and , where the root locus does not exist.
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