GATE EC 2016 Set 3 — Question 58
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Control Systems → Stability Analysis → Root Locus Interpretation
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Question
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given asrespectively. If the variable parameter is real positive, then the location of the breakaway point on the root locus diagram of the system is __________
Correct answer
-3.45 to -3.35
Solution
From :Breakaway/break-in points satisfy :so or .The open-loop poles are and the zero is at , so the real-axis part of the locus is . Only lies on it, and there . The complex branches leave , circle the zero and meet the real axis at this point; one branch then goes to the zero and the other to .Answer: (accepted range to )
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