GATE EC 2019 Set 1 — Question 41

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MCQ+2 / -0.67MediumFirst & Second-Order ResponseTime-Domain AnalysisControl Systems

Control Systems → Time-Domain Analysis → First & Second-Order Response

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Consider a causal second-order system with the transfer function G(s)=11+2s+s2G(s) = \frac{1}{1 + 2s + s^2} with a unit-step R(s)=1sR(s) = \frac{1}{s} as an input. Let C(s)C(s) be the corresponding output. The time taken by the system output c(t)c(t) to reach 94% of its steady-state value limtc(t)\lim_{t \to \infty} c(t), rounded off to two decimal places, is
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