1
GATE EE 2014 Set 1
+1
-0.3
The root locus of unity feedback system is shown in figure

The closed loop transfer function of the system is

A
$${{C\left( s \right)} \over {R\left( s \right)}} = {K \over {\left( {s + 1} \right)\left( {s + 2} \right)}}$$
B
$${{C\left( s \right)} \over {R\left( s \right)}} = {{ - K} \over {\left( {s + 1} \right)\left( {s + 2} \right) + K}}$$
C
$${{C\left( s \right)} \over {R\left( s \right)}} = {K \over {\left( {s + 1} \right)\left( {s + 2} \right) - K}}$$
D
$${{C\left( s \right)} \over {R\left( s \right)}} = {K \over {\left( {s + 1} \right)\left( {s + 2} \right) + K}}$$
2
GATE EE 2005
+1
-0.3
Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer function is
A
$${K \over {{s^3}}}$$
B
$${K \over {{s^2}\left( {s + 1} \right)}}$$
C
$${K \over {s\left( {{s^2} + 1} \right)}}$$
D
$${K \over {s\left( {{s^2} - 1} \right)}}$$
3
GATE EE 1992
+1
-0.3
Which of the following figure(s) represent valid root loci in the $$s$$ - plane for positive $$K?$$ Assume that the system has transfer function with real coefficient.
A
B
C
D
4
GATE EE 1991
+1
-0.3
A unity feedback system has an open-loop transfer function of the form $$KG\left( s \right) = {{K\left( {s + a} \right)} \over {{s^2}\left( {s + b} \right)}};\,\,\,\,b > a$$ Which of the loci shown in Fig. can be valid root-loci for the system?
A
B
C
D
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