GATE EE

Root Locus Techniques

Control Systems

(Past Years Questions)

Marks 1

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The root locus of unity feedback system is shown in figure The closed loop transfer function of the system is ...
GATE EE 2014 Set 1
Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer functio...
GATE EE 2005
Which of the following figure(s) represent valid root loci in the $$s$$ - plane for positive $$K?$$ Assume that the syst...
GATE EE 1992
A unity feedback system has an open-loop transfer function of the form $$KG\left( s \right) = {{K\left( {s + a} \right)}...
GATE EE 1991

Marks 2

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The root locus of the feedback control system having the characteristic equation $${s^2} + 6Ks + 2s + 5 = 0$$ where $$K>...
GATE EE 2017 Set 2
An open loop transfer function $$G(s)$$ of system is $$G\left( s \right) = {k \over {s\left( {s + 1} \right)\left( {s + ...
GATE EE 2015 Set 2
The open loop transfer function $$G(s)$$ of a unity feedback control system is given as, $$G\left( s \right) = {{k\left...
GATE EE 2011
The characteristic equation of a closed-loop system is $$s\left( {s + 1} \right)\left( {s + 3} \right) + \,\,k\left( {s ...
GATE EE 2010
A closed loop system has the characteristic function $$\left( {{s^2} - 4} \right)\left( {s + 1} \right) + K\left( {s - 1...
GATE EE 2006
A unity feedback system has an open loop transfer function, $$G\left( s \right) = {K \over {{s^2}}}.$$ The root locus p...
GATE EE 2002

Marks 5

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The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = {{2\left( {s + \alpha } \ri...
GATE EE 2002
Given the characteristic equation $${s^3} + 2{s^2} + Ks + K = 0.$$ Sketch the root focus as $$K$$ varies from zero to in...
GATE EE 2001
A unity feedback system has open loop transfer function $$G\left( s \right) = {{K\left( {s + 5} \right)} \over {s\left( ...
GATE EE 2000
A unity feedback system has the forward loop transfer function $$G\left( s \right) = {{K{{\left( {s + 2} \right)}^2}} \o...
GATE EE 1991

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