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
The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through (-1,j0) point in the GH plane. The gain margin of the system in dB is equal to
A
infinite
B
greater than zero
C
less than zero
D
zero
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 polar diagram of a conditionally stable system for open loop gain K=1 is shown in figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for GATE ECE 2005 Control Systems - Frequency Response Analysis Question 36 English
A
$$K < 5$$ and $${1 \over 2} < K < {1 \over 8}$$
B
$$K < {1 \over 8}and{1 \over 2} < K < 5$$
C
$$K < {1 \over 8}$$ and 5 < K
D
$$K > {1 \over 8}$$ and K < 5
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