1
GATE EE 2009
+1
-0.3
Errors associated with each respective subsystem $$\,{G_1},\,{G_2}$$ and $${G_3}$$ are $${\varepsilon _1},\,\,{\varepsilon _2}$$ and $${\varepsilon _3}$$. The error associated with the output is :
A
$${\varepsilon _1} - {\varepsilon _2} + {\varepsilon _3}$$
B
$${\varepsilon _1}{\varepsilon _2}/{\varepsilon _4}$$
C
$${\varepsilon _1} + {\varepsilon _2} - {\varepsilon _3}$$
D
$${\varepsilon _1} + {\varepsilon _2} + {\varepsilon _3}$$
2
GATE EE 2009
+1
-0.3
The first two rows of Routh's tabulation of a third order equation are as follows $$\left. {\matrix{ {{s^3}} \cr {{s^2}} \cr } } \right|\matrix{ 2 & 2 \cr 4 & 4 \cr }$$\$
this means there are

A
two roots at $$s$$ $$= \pm j$$ and one root in right half $$s$$ - plane
B
two roots at $$s$$ $$= \pm j2$$ and one root in left half $$s$$ - plane
C
two roots at $$s$$ $$= \pm j2$$ and one root in right half $$s$$ - plane
D
two roots at $$s$$ $$= \pm j$$and one root in left half $$s$$ - plane
3
GATE EE 2009
+2
-0.6
The unit - step response of a unity feedback system with open loop transfer function $$G\left( s \right) = {K \over {\left( {s + 1} \right)\left( {s + 2} \right)}}$$ is shown in the figure. The value of $$K$$ is
A
$$0.5$$
B
$$2$$
C
$$4$$
D
$$6$$
4
GATE EE 2009
+2
-0.6
The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = \left( {{e^{ - 0.1s}}} \right)/s.$$
The gain margin of this system is
A
$$11.95$$ $$dB$$
B
$$17.67$$ $$dB$$
C
$$21.33$$ $$dB$$
D
$$23.9$$ $$dB$$
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