1
GATE EE 1996
+1
-0.3
Consider the unit step response of a unity feedback control system whose open loop transfer function is $$G\left( s \right) = {1 \over {s\left( {s + 1} \right)}}.$$ The maximum overshoot is equal to
A
$$0.143$$
B
$$0.153$$
C
$$0.163$$
D
$$0.173$$
2
GATE EE 1996
+1
-0.3
For a feedback control system of type $$2,$$ the steady state error for a ramp input is
A
infinite
B
constant
C
zero
D
indeterminate
3
GATE EE 1996
+2
-0.6
The unit impulse response of a system is given as $$c\left( t \right) = - 4{e^{ - t}} + 6{e^{ - 2t}}.\,\,\,$$ The step response of the same system for $$\,t \ge 0$$ is equal to
A
$$- 3{e^{ - 2t}} - 4{e^{ - t}} + 1$$
B
$$- 3{e^{ - 2t}} + 4{e^{ - t}} - 1$$
C
$$- 3{e^{ - 2t}} - 4{e^{ - t}} - 1$$
D
$$3{e^{ - 2t}} + 4{e^{ - t}} - 1$$
4
GATE EE 1996
+2
-0.6
For the system shown in Figure, with a damping ratio $$\xi$$ of $$0.7$$ and an undamped natural frequency $${\omega _n}$$ of $$4$$ rad/sec, the values of $$' K '$$ and $$' a '$$ are
A
$$K = 4,a = 0.35$$
B
$$K = 8,a = 0.455$$
C
$$K = 16,a = 0.225$$
D
$$K = 64,a = 0.9$$
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