Root Locus Techniques · Control Systems · GATE EE
Start PracticeMarks 1
GATE EE 2014 Set 1
The root locus of unity feedback system is shown in figure
The closed loop transfer function of the system is ...
GATE EE 2005
Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer function is
...
GATE EE 1992
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 ...
GATE EE 1991
A unity feedback system has an open-loop transfer function of the form $$KG\left( s \right) = {{K\left( {s + a} \right)} \over {{s^2}\left( {s + b} \r...
Marks 2
GATE EE 2024
Consider the closed-loop system shown in the figure with
$$G(s) = \frac{K(s^2 - 2s + 2)}{(s^2 + 2s + 5)}.$$
The root locus for the closed-loop sys...
GATE EE 2017 Set 2
The root locus of the feedback control system having the characteristic equation $${s^2} + 6Ks + 2s + 5 = 0$$ where $$K>0,$$ enters into the real a...
GATE EE 2015 Set 2
An open loop transfer function $$G(s)$$ of system is $$G\left( s \right) = {k \over {s\left( {s + 1} \right)\left( {s + 2} \right)}}$$
For a unity fe...
GATE EE 2011
The open loop transfer function $$G(s)$$ of a unity feedback control system is given as, $$G\left( s \right) = {{k\left( {s + {2 \over 3}} \right)} \...
GATE EE 2010
The characteristic equation of a closed-loop system is $$s\left( {s + 1} \right)\left( {s + 3} \right) + \,\,k\left( {s + 2} \right) = 0,\,\,k > 0....
GATE EE 2006
A closed loop system has the characteristic function $$\left( {{s^2} - 4} \right)\left( {s + 1} \right) + K\left( {s - 1} \right) = 0.$$
Its root loc...
GATE EE 2002
A unity feedback system has an open loop transfer function, $$G\left( s \right) = {K \over {{s^2}}}.$$ The root locus plot is
Marks 5
GATE EE 2002
The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = {{2\left( {s + \alpha } \right)} \over {s\left( {s + 2} \...
GATE EE 2001
Given the characteristic equation $${s^3} + 2{s^2} + Ks + K = 0.$$ Sketch the root focus as $$K$$ varies from zero to infinity. Find the angle and rea...
GATE EE 2000
A unity feedback system has open loop transfer function $$G\left( s \right) = {{K\left( {s + 5} \right)} \over {s\left( {s + 2} \right)}};K \ge 0$$
...
GATE EE 1991
A unity feedback system has the forward loop transfer function $$G\left( s \right) = {{K{{\left( {s + 2} \right)}^2}} \over {{s^2}\left( {s - 1} \righ...