1
GATE EE 2003
MCQ (Single Correct Answer)
+2
-0.6
A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e^{ - 4t}} + 2{e^{ - 5t}}$$$
The natural time constants of the response of the system are
A
$$2s$$ and $$5s$$
B
$$3s$$ and $$6s$$
C
$$4s$$ and $$5s$$
D
$$1/3s$$ and $$1/6s$$
2
GATE EE 2000
MCQ (Single Correct Answer)
+2
-0.6
A unity feedback system has open-loop transfer function $$G\left( s \right) = {{25} \over {s\left( {s + 6} \right)}}.$$ The peak overshoot in the step-input response of the system is approximately equal to
A
$$5\% $$
B
$$10\% $$
C
$$15\% $$
D
$$20\% $$
3
GATE EE 1996
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+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 GATE EE 1996 Control Systems - Time Response Analysis Question 7 English
A
$$K = 4,a = 0.35$$
B
$$K = 8,a = 0.455$$
C
$$K = 16,a = 0.225$$
D
$$K = 64,a = 0.9$$
GATE EE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12