1
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
The Bode plot of a transfer function G (s) is shown in the figure below. GATE ECE 2013 Control Systems - Frequency Response Analysis Question 51 English The gain (20 log $$\left| {G(s)} \right|$$ ) is 32 dB and -8dB at 1rad/s and 10rad/s respectively. The phase is negative for all $$\omega .$$ Then G(s) is
A
$${\textstyle{{39.8} \over s}}$$
B
$${\textstyle{{39.8} \over {{s^2}}}}$$
C
$${\textstyle{{32} \over {{s}}}}$$
D
$${\textstyle{{32} \over {{s^2}}}}$$
2
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The state diagram of a system is shown below. A system is shown below. A system is described by the state variable equations GATE ECE 2013 Control Systems - State Space Analysis Question 19 English

The state transition matrix eAt of the system shown in the figure above is

A
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr {t{e^{ - t}}} & {{e^{ - t}}} \cr } } \right]$$ v
B
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr { - t{e^{ - t}}} & {{e^{ - t}}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr {{e^{ - t}}} & {{e^{ - t}}} \cr } } \right]$$
D
$$\left[ {\matrix{ {{e^{ - t}}} & { - t{e^{ - t}}} \cr 0 & {{e^{ - t}}} \cr } } \right]$$
3
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The state diagram of a system is shown below. A system is shown below. A system is described by the state variable equations GATE ECE 2013 Control Systems - State Space Analysis Question 20 English

The state-variable equations of the system shown in the figure above are

A
$$\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & 0 \cr 1 & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ 1 & { - 1} \cr } } \right]X + u \cr} $$
B
$$\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & 0 \cr { - 1} & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ { - 1} & { - 1} \cr } } \right]X + u \cr} $$
C
$$\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & 0 \cr { - 1} & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ { - 1} & { - 1} \cr } } \right]X - u \cr} $$
D
$$\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & { - 1} \cr 0 & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ 1 & { - 1} \cr } } \right]X - u \cr} $$
4
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
In the sum of products function f (x,y,z) = $$\sum {} $$m (2,3,4,5), the prime implicants are
A
$$\overline X \,Y,X\overline Y $$
B
$$\overline X \,Y,X\overline Y $$$$\overline Z ,X\overline Y Z$$
C
$$\overline X Y\overline Z $$,$$\overline X YZ,X\overline Y $$
D
$$\overline X Y\overline Z $$ ,$$\overline X YZ,X\overline Y $$$$\overline Z ,X\overline Y Z$$
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