1
GATE ECE 2015 Set 3
Numerical
+2
-0
For the system shown in the figure, s = –2.75 lies on the root locus if K is_____.
2
GATE ECE 2015 Set 1
Numerical
+2
-0
The open-loop transfer function of a plant in a unity feedback configuration is given as $$G\left(s\right)=\frac{K\left(s+4\right)}{\left(s+8\right)\left(s^2-9\right)}$$.The value of the gain K(>0) for which -1 + j2 lies on the root locus is __________________.
3
GATE ECE 2014 Set 4
Numerical
+2
-0
The characteristic equation of a unity negative feedback system 1 + KG(s) = 0. The open loop transfer function G(s) has one pole at 0 and two poles at -1. The root locus of the system for varying K is shown in the figure.

The constant damping ratio line, for $$\xi$$ = 0.5 , intersects the root locus at point A. The distance from the origin to point A is given as 0.5. The value of K at point A is ________ .

4
GATE ECE 2014 Set 3
+2
-0.6
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus?
A
$$\frac{s+1}{\left(s+2\right)\left(s+4\right)\left(s+7\right)}$$
B
$$\frac{s+4}{\left(s+1\right)\left(s+2\right)\left(s+7\right)}$$
C
$$\frac{s+7}{\left(s+1\right)\left(s+2\right)\left(s+4\right)}$$
D
$$\frac{\left(s+1\right)\left(s+2\right)}{\left(s+4\right)\left(s+7\right)}$$
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