1
GATE ECE 2014 Set 4
Numerical
+2
-0
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 -1. The root locus of the system for varying K is shown in the figure. The constant damping ratio line, for $$\xi$$ = 0.5 , intersects the root locus at point A. The distance from the origin to point A is given as 0.5. The value of K at point A is ________ .

2
GATE ECE 2014 Set 3
+2
-0.6
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 this root locus? A
$$\frac{s+1}{\left(s+2\right)\left(s+4\right)\left(s+7\right)}$$
B
$$\frac{s+4}{\left(s+1\right)\left(s+2\right)\left(s+7\right)}$$
C
$$\frac{s+7}{\left(s+1\right)\left(s+2\right)\left(s+4\right)}$$
D
$$\frac{\left(s+1\right)\left(s+2\right)}{\left(s+4\right)\left(s+7\right)}$$
3
GATE ECE 2007
+2
-0.6
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 + j1 will lie on the root locus of this system is: A 4 B 5.5 C 6.5 D 10 4 GATE ECE 2005 MCQ (Single Correct Answer) +2 -0.6 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.
A B C D GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
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