GATE EC 2015 Set 2 — Question 57

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

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

Last updated 5 September 2026

Question

y(t) = 1 - \frac{2}{\sqrt{3}} e^{-t} \cos\left(\sqrt{3}t - \frac{\pi}{6}\right).

y(t) = 1 - \frac{e^{-\zeta \omega_n t}}{\sqrt{1-\zeta^2}} \sin(\omega_d t + \phi), \quad \text{where } \phi = \cos^{-1} \zeta

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y(t) = 1 - \frac{e^{-\zeta \omega_n t}}{\sqrt{1-\zeta^2}} \sin(\omega_d t + \phi), \quad \text{where } \phi = \cos^{-1} \zeta

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