GATE EE 2016 Set 2 — Question 62
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Control Systems → Frequency Response & Root Locus → Breakaway & Break-In Points
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Question
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function is
Correct answer
(A) 1
Solution
The characteristic equation of the unity feedback system is .For the breakaway point, :The poles are at and . The root locus exists on the real axis between and (where there is an odd number of poles/zeros to the right). Thus, the breakaway point is at .
The gain at is:Therefore, the gain at the breakaway point is 1.
The gain at is:Therefore, the gain at the breakaway point is 1.
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