GATE ECE

Root Locus Diagram

Control Systems

(Past Years Questions)

Marks 1

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The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by ...
GATE ECE 2011
Which of the following points is NOT on the root locus of a system with the open loop transfer function $$$G\left(s\righ...
GATE ECE 2002
The root-locus diagram for a closed loop feedback system is shown in Figure. The system is overdamped. ...
GATE ECE 2001
Given the $$G\left(s\right)H\left(s\right)=\frac K{s\left(s+1\right)\left(s+3\right)}$$, the point of intersection of th...
GATE ECE 2001
If the open loop transfer function is a ratio of a numerator polynomial of degree 'm' and a denominator polynomial ...
GATE ECE 1994

Marks 2

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A linear time invariant (LTI) system with the transfer function $$$G\left(s\right)=\frac{K\left(s^2+2s+2\right)}{s^2-3s+...
GATE ECE 2017 Set 1
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control sy...
GATE ECE 2016 Set 3
The open-loop transfer function of a unity-feedback control system is $$$G\left(s\right)=\frac K{s^2+5s+5}$$$ The value ...
GATE ECE 2016 Set 1
For the system shown in the figure, s = –2.75 lies on the root locus if K is_____. ...
GATE ECE 2015 Set 3
The open-loop transfer function of a plant in a unity feedback configuration is given as $$G\left(s\right)=\frac{K\left(...
GATE ECE 2015 Set 1
The characteristic equation of a unity negative feedback system 1 + KG(s) = 0. The open loop transfer function G(s) has ...
GATE ECE 2014 Set 4
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the follo...
GATE ECE 2014 Set 3
A unity feedback control system has an open-loop transfer function $$$G\left(s\right)=\frac K{s\left(s^2+7s+12\right)}$$...
GATE ECE 2007
A unity feedback system is given as,$$$G\left(s\right)=\frac{K\left(1-s\right)}{s\left(s+3\right)}$$$ indicate the corre...
GATE ECE 2005
The root locus of the system $$$G\left(s\right)H\left(s\right)=\frac K{s\left(s+2\right)\left(s+3\right)}$$$ has the bre...
GATE ECE 2003
Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer functio...
GATE ECE 1999
Given a unity feedback system with open loop transfer function, $$$G\left(s\right)=\frac K{s\left(s+1\right)\left(s+2\ri...
GATE ECE 1992
The characteristic equation of a feedback control system is given by s3 +5s2 +(K + 6)s + K =0 Where K > 0 is a scalar va...
GATE ECE 1991
Consider a closed-loop system shown in fig. (a) below. The root locus for it is shown in fig. (b). The closed-loop trans...
GATE ECE 1988

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