1
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

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 that K is varied from 0 to $$\infty$$.

Select the transfer function G(s) that results in the root-locus plot of the closed-loop system as shown in the figure.

GATE ECE 2022 Control Systems - Root Locus Diagram Question 1 English

A
$$G(s) = {1 \over {{{(s + 1)}^5}}}$$
B
$$G(s) = {1 \over {{s^5} + 1}}$$
C
$$G(s) = {{s - 1} \over {{{(s + 1)}^6}}}$$
D
$$G(s) = {{s + 1} \over {{s^6} + 1}}$$
2
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
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 Control Systems - Root Locus Diagram Question 18 English
A
$$G\left(s\right)H\left(s\right)=k\frac{s\left(s+1\right)}{\left(s+2\right)\left(s+3\right)}$$
B
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)^2}$$
C
$$G\left(s\right)H\left(s\right)=k\frac1{s\left(s-1\right)\left(s+2\right)\left(s+3\right)}$$
D
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)}$$
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Which of the following points is NOT on the root locus of a system with the open loop transfer function $$$G\left(s\right)H\left(s\right)=\frac K{s(s+1)(s+3)}$$$
A
$$s=-j\sqrt{3}$$
B
$$s=-1.5$$
C
$$s=-3$$
D
$$s=-\infty$$
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
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 with the real axis is
A
-4
B
1.33
C
-1.33
D
4
GATE ECE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12