GATE EC 2024 Set 1 — Question 13

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MCQ+1 / -0.33MediumSteady-State Error & ConstantsTime-Domain AnalysisControl SystemsRouth-Hurwitz CriterionStability Analysis

Control Systems → Stability Analysis → Routh-Hurwitz Criterion

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Question

In the feedback control system shown in the figure below G(s)=6s(s+1)(s+2)G(s) = \frac{6}{s(s+1)(s+2)}.
Feedback control system block diagram with input $R(s)$, error $E(s)$, plant $G(s)$, and output $Y(s)$
R(s),Y(s)R(s), Y(s), and E(s)E(s) are the Laplace transforms of r(t),y(t)r(t), y(t), and e(t)e(t), respectively. If the input r(t)r(t) is a unit step function, then __________.
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