1
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$.

With the value of "a" set for phase-margin of $$\pi $$/4, the value of unit-impulse response of the open-loop system at t = 1 second is equal to

A
3.40
B
2.40
C
1.84
D
1.74
2
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$ The value of 'a', so that the system has a phase-margin equal to $$\pi $$/4 is approximately equal to
A
2.40
B
1.40
C
0.84
D
0.74
3
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider two transfer functions $${G_1}\left( s \right) = {1 \over {{s^2} + as + b}}$$ and $${G_2}\left( s \right) = {s \over {{s^2} + as + b}}.$$ The 3-dB bandwidths of their frequency responses are, respectively
A
$$\sqrt {{a^2} - 4b,} $$ $$\sqrt {{a^2} + 4b,} $$
B
$$\sqrt {{a^2} - 4b,} $$ $$\sqrt {{a^2} - 4b,} $$
C
$$\sqrt {{a^2} + 4b,} $$ $$\sqrt {{a^2} - 4b,} $$
D
$$\sqrt {{a^2} + 4b,} $$ $$\sqrt {{a^2} + 4b,} $$
4
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
The open loop transfer function of a unity feedback system is given by G(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \right)}}.$$ The gain and phase crossover frequencies in rad/sec are, respectively
A
0.632 and 1.26
B
0.632 and 0.485
C
0.485 and 0.632
D
1.26 and 0.632
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