1
GATE EE 2022
+1
-0.33

The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $$\xi$$ and $$\omega$$n are

A
$$\xi$$ = 0.5 and $$\omega$$n = 10 rad/s
B
$$\xi$$ = 0.1 and $$\omega$$n = 10 rad/s
C
$$\xi$$ = 0.707 and $$\omega$$n = 10 rad/s
D
$$\xi$$ = 0.707 and $$\omega$$n = 100 rad/s
2
GATE EE 2017 Set 2
+1
-0.3
When a unit ramp input is applied to the unity feedback system having closed loop transfer function $${{C\left( s \right)} \over {R\left( s \right)}} = {{Ks + b} \over {{s^2} + as + b}},\,\left( {a > 0,\,b > 0,\,K > 0} \right),$$ the steady state error will be
A
$$0$$
B
$${a \over b}$$
C
$${{a + K} \over b}$$
D
$${{a - K} \over b}$$
3
GATE EE 2014 Set 2
Numerical
+1
-0
The closed-loop transfer function of a system is $$T\left( s \right) = {4 \over {\left( {{s^2} + 0.4s + 4} \right)}}.$$ The steady state error due to unit step input is ________
4
GATE EE 2011
+1
-0.3
The steady state error of a unity feedback linear system for a unit step input is $$0.1.$$ The steady state error of the same system, for a pulse input $$r(t)$$ having a magnitude of $$10$$ and a duration of one second, as shown in the figure is
A
$$0$$
B
$$0.1$$
C
$$1$$
D
$$10$$
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