1
GATE ECE 2006
+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 2005
+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
3
GATE ECE 2005
+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
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
4
GATE ECE 2005
+2
-0.6
The open loop transfer function of a unity feedback system is given by g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \right)}}.$$ Based on the above results, the gain and phase margins of the system will be
A
$$- 7.09$$ dB and $${87.5^0}$$
B
$$7.09$$ dB and $${87.5^0}$$
C
$$7.09$$ dB and $${-87.5^0}$$
D
$$- 7.09$$ dB and $${-87.5^0}$$
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