1
GATE ECE 1991
+2
-0.6
In the signal flow graph of Figure, the gain c/r will be
A
11/9
B
22/15
C
24/23
D
44/23
2
GATE ECE 1991
+2
-0.6
A second order system has a transfer function given by $$\mathrm G\left(\mathrm s\right)\;=\;\frac{25}{\mathrm s^2\;+\;8\mathrm s\;+\;25}$$ .If the system, initially at rest is subjected to a unit step input at t = 0, the second peak in response will occur at
A
$$\mathrm\pi\;\sec$$
B
$$\frac{\mathrm\pi}3\;\sec$$
C
$$\frac{2\mathrm\pi}3\;\sec$$
D
$$\frac{2\mathrm\pi}3\;\sec$$
3
GATE ECE 1991
+2
-0.6
A unity feedback control system has the open loop transfer function $$G\left(s\right)\;=\;\frac{4\left(1\;+\;2s\right)}{s^2\left(s\;+\;2\right)}$$ .If the input to the system is a unit ramp, the steady-state error will be
A
$$0$$
B
0.5
C
2
D
Infinity.
4
GATE ECE 1991
+2
-0.6
The characteristic equation of a feedback control system is given by
s3 +5s2 +(K + 6)s + K =0
Where K > 0 is a scalar variable parameter. In the root loci diagram of the system the asymptotes of the root locus for large values of K meet at a point in the s-plane whose coordinates are
A
(-3,0)
B
(-2,0)
C
(-1,0)
D
(2,0)
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