GATE ECE
Control Systems
Root Locus Diagram
Previous Years Questions

Marks 1

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 ...
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by ...
Which of the following points is NOT on the root locus of a system with the open loop transfer function $$G\left(s\right)H\left(s\right)=\frac K{s(s+... The root-locus diagram for a closed loop feedback system is shown in Figure. The system is overdamped. ... Given the$$G\left(s\right)H\left(s\right)=\frac K{s\left(s+1\right)\left(s+3\right)}$$, the point of intersection of the asymptotes of the root loci ... If the open loop transfer function is a ratio of a numerator polynomial of degree 'm' and a denominator polynomial of degree 'n', then the i... Marks 2 A linear time invariant (LTI) system with the transfer function$$$G\left(s\right)=\frac{K\left(s^2+2s+2\right)}{s^2-3s+2}$$is connected in unity fe... The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as$$G\left(s\r... 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...
For the system shown in the figure, s = –2.75 lies on the root locus if K is_____. ...
The open-loop transfer function of a plant in a unity feedback configuration is given as $$G\left(s\right)=\frac{K\left(s+4\right)}{\left(s+8\right)\l... The characteristic equation of a unity negative feedback system 1 + KG(s) = 0. The open loop transfer function G(s) has one pole at 0 and two poles at... In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has th... A unity feedback control system has an open-loop transfer function$$$G\left(s\right)=\frac K{s\left(s^2+7s+12\right)}$$The gain K for which s = −1 ... A unity feedback system is given as,$$$G\left(s\right)=\frac{K\left(1-s\right)}{s\left(s+3\right)}$$indicate the correct root locus diagram. The root locus of the system$$$G\left(s\right)H\left(s\right)=\frac K{s\left(s+2\right)\left(s+3\right)}$$has the break-away point located at Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer function$$$G\left(s\right)H\left(s\r...
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...
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...
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...
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