GATE 2018 EE – Question 35
Consider a unity feedback system with forward transfer function given by $G(s)=\dfrac{1}{(s+1)(s+2)}$. The steady-state error in the output of the system for a unit-step input is ________ (up to 2 decimal places).
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Correct answer: 0.66 to 0.68
Explanation
The position error constant is $K_p=G(0)=\frac12$, so $e_{ss}=\frac{1}{1+K_p}=\frac{1}{1.5}=0.67$.