1
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Find the transfer function $${{Y\left( s \right)} \over {X\left( s \right)}}$$ of the system given below: GATE EE 2015 Set 1 Control Systems - Block Diagram and Signal Flow Graph Question 6 English
A
$${{{G_1}} \over {1 - H{G_1}}} + {{{G_2}} \over {1 - H{G_2}}}$$
B
$${{{G_1}} \over {1 + H{G_1}}} + {{{G_2}} \over {1 + H{G_2}}}$$
C
$${{{G_1} + {G_2}} \over {1 + H\left( {{G_1} + {G_2}} \right)}}$$
D
$${{{G_1} + {G_2}} \over {1 - H\left( {{G_1} + {G_2}} \right)}}$$
2
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $${\left. {{{Y\left( s \right)} \over {{X_2}\left( s \right)}}} \right|_{{x_1}\left( s \right) = 0}}?$$ GATE EE 2015 Set 1 Control Systems - Block Diagram and Signal Flow Graph Question 13 English
A
$${{{G_1}} \over {1 + {G_2}\left( {1 + {G_1}} \right)}}$$
B
$${{{G_2}} \over {1 + {G_1}\left( {1 + {G_2}} \right)}}$$
C
$${{{G_1}} \over {1 + {G_1}{G_2}}}$$
D
$${{{G_2}} \over {1 + {G_1}{G_2}}}$$
3
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A Bode magnitude plot for the transfer function $$𝐺(𝑠)$$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant? GATE EE 2015 Set 1 Control Systems - Polar Nyquist and Bode Plot Question 40 English
A
$${{1000\left( {s + 10} \right)} \over {s + 1000}}$$
B
$${{10\left( {s + 10} \right)} \over {s\left( {s + 1000} \right)}}$$
C
$${{s + 1000} \over {10s\left( {s + 10} \right)}}$$
D
$${{s + 1000} \over {10\left( {s + 10} \right)}}$$
4
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 $$\left( { - 2 \pm j3} \right)$$
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