GATE 2018 EE – Question 56
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)=\dfrac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is ________ (up to 2 decimal places).
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Correct answer: 8
Explanation
The steady-state value of the step response is $\frac{K}{K+2}$, and the plot settles at $0.8$. So $\frac{K}{K+2}=0.8$ and $K=8$.