GATE EC 2020 Set 1 — Question 33
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Control Systems → Stability Analysis → Routh-Hurwitz Criterion
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Question
The loop transfer function of a negative feedback system is The value of , for which the system is marginally stable, is ______.
Correct answer
160 to 160
Solution
The characteristic equation of the negative feedback system is:Using the Routh-Hurwitz criterion:
For marginal stability, the row must be zero:Thus, the value of for marginal stability is .
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