1
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The transfer function $$C(s)$$ of a compensator is given below: $$C\left( s \right) = {{\left( {1 + {s \over {0.1}}} \right)\left( {1 + {s \over {100}}} \right)} \over {\left( {1 + s} \right)\left( {1 + {s \over {10}}} \right)}}$$

The frequency range in which the phase (lead) introduce by the compensator reaches the maximum is

A
$$0.1 < \omega < 1$$
B
$$1 < \omega < 10$$
C
$$10 < \omega < 100$$
D
$$\omega > 100$$
2
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $$\left( {2 - j3} \right).$$ List all the poles and zeros.
A
Poles at $$\left( {2 \pm j3} \right),$$ no zeros
B
Poles at $$\left( { \pm 2 - j3} \right),$$ one zero at origin
C
Poles at $$\left( {2 - j3} \right),\,\,\left( { - 2 + j3} \right),$$ zeros at $$\left( { - 2 - j3} \right),\,\,\left( {2 + j3} \right)$$
D
Poles at $$\left( {2 \pm j3} \right),$$ zeros at $$\left( { - 2 \pm j3} \right)$$
3
GATE EE 2003
MCQ (Single Correct Answer)
+1
-0.3
A lead compensator used for a closed loop controller has the following transfer function $${\textstyle{{K\left( {1 + {s \over a}} \right)} \over {\left( {1 + {s \over b}} \right)}}}\,\,\,$$ For such a lead compensator
A
$$a < b$$
B
$$b < a$$
C
$$a > Kb$$
D
$$a < Kb$$
4
GATE EE 1998
MCQ (Single Correct Answer)
+1
-0.3
The phase lead compensation is used to
A
increase rise time and decrease overshoot
B
decrease both rise time and overshoot
C
increase both rise time and overshoot
D
decrease rise time and increase overshoot
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