GATE Electrical 2024 | Question: 48

Question

Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of $G(s)$ has a constant slope of $-20 \mathrm{~dB} /$ decade at least till $100 \mathrm{rad} / \mathrm{sec}$ with the gain crossover frequency being $10 \mathrm{rad} / \mathrm{sec}$. The asymptotic Bode phase plot remains constant at $-90^{\circ}$ at least till $\omega=10 \mathrm{rad} / \mathrm{sec}$. The steadystate error of the closed-loop system for a unit ramp input is (rounded off to 2 decimal places).