1
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 2 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
3
GATE ECE 2003
+2
-0.6
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 A (-0.5,0) B (-2.548,0) C (-4,0) D (-0.784,0) 4 GATE ECE 1999 MCQ (Single Correct Answer) +2 -0.6 Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer function $$G\left(s\right)H\left(s\right)=\frac K{\left(s+1\right)^4}$$$
A
s1 is on the root locus, but not s2
B
s2 is on the root locus, but not s1
C
both s1 and s2 are on the root locus
D
neither s1 nor s2 is on the root locus
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