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GATE EC 2019 Set 1 — Question 52

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NAT+2 / -0MediumRouth-Hurwitz CriterionStability AnalysisControl Systems

Control Systems → Stability Analysis → Routh-Hurwitz Criterion

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Question

Consider a unity feedback system, as in the figure shown, with an integral compensator Ks\frac{K}{s} and open-loop transfer functionG(s)=1s2+3s+2G(s) = \frac{1}{s^2 + 3s + 2}where K>0K > 0. The positive value of KK for which there are exactly two poles of the unity feedback system on the jωj\omega axis is equal to ________ (rounded off to two decimal places).
A unity feedback control system block diagram with an input X(s), a summing junction, a compensator block K/s, a plant block G(s), and an output Y(s).
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