1
GATE ECE 1999
+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 2 GATE ECE 1992 MCQ (Single Correct Answer) +2 -0.6 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 of the system is of the form.
A
B
C
D
3
GATE ECE 1991
+2
-0.6
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 root loci diagram of the system the asymptotes of the root locus for large values of K meet at a point in the s-plane whose coordinates are
A
(-3,0)
B
(-2,0)
C
(-1,0)
D
(2,0)
4
GATE ECE 1988
+2
-0.6
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
A
$$\frac K{1+\left(0.5s+1\right)\left(10s+1\right)}$$
B
$$\frac K{\left(s+2\right)\left(s+0.1\right)}$$
C
$$\frac K{1+K\left(0.5s+1\right)\left(10s+1\right)}$$
D
$$\frac K{K+0.2\left(0.5s+1\right)\left(10s+1\right)}$$
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