1
GATE EE 2001
MCQ (Single Correct Answer)
+1
-0.3
The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and one zero is shown in Fig. Its transfer functions is GATE EE 2001 Control Systems - Polar Nyquist and Bode Plot Question 48 English
A
$${{20\left( {s + 5} \right)} \over {s\left( {s + 2} \right)\left( {s + 25} \right)}}$$
B
$${{10\left( {s + 5} \right)} \over {{{\left( {s + 2} \right)}^2}\left( {s + 25} \right)}}$$
C
$${{20\left( {s + 5} \right)} \over {{s^2}\left( {s + 2} \right)\left( {s + 25} \right)}}$$
D
$${{50\left( {s + 5} \right)} \over {{s^2}\left( {s + 2} \right)\left( {s + 25} \right)}}$$
2
GATE EE 2001
MCQ (Single Correct Answer)
+1
-0.3
The polar plot of a type-$$1, 3$$-pole, open-loop system is shown in Fig. below. The closed loop system is GATE EE 2001 Control Systems - Polar Nyquist and Bode Plot Question 49 English
A
always stable
B
marginally stable
C
unstable with one pole on the right half $$s$$-plane
D
unstable with two poles on the right half $$s$$-plane.
3
GATE EE 1996
MCQ (Single Correct Answer)
+1
-0.3
The closed - loop transfer function of a control system is given by $${{C\left( s \right)} \over {R\left( s \right)}} = {1 \over {\left( {1 + s} \right)}}$$
For the input $$\,r\left( t \right)\,\, = \,\,\sin \,t,$$ the steady state value of $$c(t)$$ is equal to
A
$${1 \over {\sqrt 2 }}\cos t$$
B
$$1$$
C
$${1 \over {\sqrt 2 }}sint$$
D
$${1 \over {\sqrt 2 }}sin\left( {1 - {\pi \over 4}} \right)$$
4
GATE EE 1992
MCQ (Single Correct Answer)
+1
-0.3
A unity feedback system has the open loop transfer function $$G\left( s \right) = {1 \over {\left( {s - 1} \right)\left( {s + 2} \right)\left( {s + 3} \right)}}$$
The Nyquist plot of $$G$$ encircle the origin
A
Never
B
Once
C
Twice
D
Thrice
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