# Root Locus Diagram · Control Systems · GATE ECE

Start Practice## Marks 1

GATE ECE 2022

The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path is shown in the figure. Note ...

GATE ECE 2011

The root locus plot for a system is given below. The open loop transfer function
corresponding to this plot is given by
...

GATE ECE 2002

Which of the following points is NOT on the root locus of a system with the open
loop transfer function
$$$G\left(s\right)H\left(s\right)=\frac K{s(s+...

GATE ECE 2001

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 the asymptotes
of the root loci ...

GATE ECE 1994

If the open loop transfer function is a ratio of a numerator polynomial of degree
'm' and a denominator polynomial of degree 'n', then the i...

## Marks 2

GATE ECE 2017 Set 1

A linear time invariant (LTI) system with the transfer function
$$$G\left(s\right)=\frac{K\left(s^2+2s+2\right)}{s^2-3s+2}$$$
is connected in unity fe...

GATE ECE 2016 Set 3

The forward-path transfer function and the feedback-path transfer function of a single loop negative
feedback control system are given as $$G\left(s\r...

GATE ECE 2016 Set 1

The open-loop transfer function of a unity-feedback control system is
$$$G\left(s\right)=\frac K{s^2+5s+5}$$$
The value of K at the breakaway point of...

GATE ECE 2015 Set 3

For the system shown in the figure, s = –2.75 lies on the root locus if K is_____.
...

GATE ECE 2015 Set 1

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)\l...

GATE ECE 2014 Set 4

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...

GATE ECE 2014 Set 3

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 th...

GATE ECE 2007

A unity feedback control system has an open-loop transfer function
$$$G\left(s\right)=\frac K{s\left(s^2+7s+12\right)}$$$
The gain K for which s = −1 ...

GATE ECE 2005

A unity feedback system is given as,$$$G\left(s\right)=\frac{K\left(1-s\right)}{s\left(s+3\right)}$$$ indicate the correct root locus diagram.

GATE ECE 2003

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 break-away point
located at

GATE ECE 1999

Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer function
$$$G\left(s\right)H\left(s\r...

GATE ECE 1992

Given a unity feedback system with open loop transfer function,
$$$G\left(s\right)=\frac K{s\left(s+1\right)\left(s+2\right)}$$$
The root locus plot o...

GATE ECE 1991

The characteristic equation of a feedback control system is given by s3 +5s2 +(K + 6)s + K =0 Where K > 0 is a scalar variable parameter. In the ro...

GATE ECE 1988

Consider a closed-loop system shown in fig. (a) below. The root locus for it is shown in fig. (b). The closed-loop transfer function for the system is...