GATE 2022 CH – Question 34
A process described by the transfer function $G_p(s) = \frac{(10s + 1)}{(5s + 1)}$ is forced by a unit step input at time $t = 0$. The output value immediately after the step input (at $t = 0^+$) is __________ (rounded off to the nearest integer).
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Correct answer: 2
Explanation
By the initial value theorem, $y(0^+) = \lim_{s \to \infty}s \cdot G_p(s)\frac{1}{s} = \lim_{s \to \infty}\frac{10s + 1}{5s + 1} = \frac{10}{5} = 2$.