1
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
The feedback system shown below oscillates at 2 rad/s when GATE ECE 2012 Control Systems - Stability Question 11 English
A
K = 2 and a = 0.75
B
K = 3 and a = 0.75
C
K = 4 and a = 0.5
D
K = 2 and a = 0.5
2
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
A system with transfer function g(s) = $${{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left( {s + 1} \right)\left( {s + 3} \right)\left( {s + 4} \right)}},$$ is excited by $$\sin \left( {\omega t} \right).$$ The steady-state output of the system is zero at
A
$$\omega = 1rad/\sec $$
B
$$\omega = 2rad/\sec $$
C
$$\omega = 3rad/\sec $$
D
$$\omega = 4rad/\sec $$
3
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a compensator is given as $${G_C}(s) = {{s + a} \over {s + b}}.$$

$${G_C}(s)$$ is a lead compensator if

A
a = 1, b =2
B
a = 3, b = 2
C
a = -3, b = -1
D
a = 3, b = 1
4
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a compensator is given as $${G_C}(s) = {{s + a} \over {s + b}}.$$

The phase of the above lead compensator is maximum at

A
$$\sqrt 2 $$ rad/sec
B
$$\sqrt 3 $$ rad/sec
C
$$\sqrt 6 $$ rad/sec
D
$$1/\sqrt 3 $$ rad/sec
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