1
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider the Bode magnitude plot shown in figure. The transfer function H(s) is GATE ECE 2004 Control Systems - Frequency Response Analysis Question 34 English
A
$${{\left( {s + 10} \right)} \over {\left( {s + 1} \right)\left( {s + 100} \right)}}$$
B
$${{10\left( {s + 1} \right)} \over {\left( {s + 10} \right)\left( {s + 100} \right)}}$$
C
$${{{{10}^2}\left( {s + 1} \right)} \over {\left( {s + 10} \right)\left( {s + 100} \right)}}$$
D
$${{{{10}^3}\left( {s + 100} \right)} \over {\left( {s + 1} \right)\left( {s + 10} \right)}}$$
2
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A system has poles at 0.01 Hz, 1Hz and 80 Hz; zeroes at 5hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is
A
$$ - {90^0}$$
B
$$ {0^0}$$
C
$$ {90^0}$$
D
$$ {-180^0}$$
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
The state variable equations of a system are: $$${\mathop {{x_1} = - 3{x_1} - x}\limits^ \bullet _2} + u$$$ $$${\mathop x\limits^ \bullet _2} = 2{x_1}$$$ $$$y = {x_1} + u.$$$
The system is
A
controllable but not observable.
B
observable but not controllable.
C
neither controllable nor observable.
D
controllable and observable.
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Given A $$ = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right],$$ the state transition matrix eAt is given by
A
$$\left[ {\matrix{ 0 & {{e^{ - t}}} \cr {{0^{ - t}}} & 0 \cr } } \right]$$
B
$$\left[ {\matrix{ {{e^t}} & 0 \cr 0 & {{e^t}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr 0 & {{e^{ - t}}} \cr } } \right]$$
D
$$\left[ {\matrix{ 0 & {{e^t}} \cr {{e^t}} & 0 \cr } } \right]$$
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