The open-loop transfer function of a feedback control system is given by $G\left( s \right)H\left( s \right) = \frac{{K\left( {s + 2} \right)}}{{s\left( {s + 4} \right)\left( {{s^2} + 4s + 8} \right)}}$. In the root-locus diagram of the system, the asymptotes of the root loci for large values of ‘K’ meet a point in the s-plane. Which one of the following is the set of coordinates of that point?

Question

TuteeHUB · Accepted Answer

$\left( { - \frac{{10}}{3},0} \right)$

TuteeHUB · Answer

(-1, 0)

TuteeHUB · Answer

(-2, 0)

TuteeHUB · Answer

(2, 0)

1.	The open-loop transfer function of a feedback control system is given by \(G\left( s \right)H\left( s \right) = \frac{{K\left( {s + 2} \right)}}{{s\left( {s + 4} \right)\left( {{s^2} + 4s + 8} \right)}}\). In the root-locus diagram of the system, the asymptotes of the root loci for large values of ‘K’ meet a point in the s-plane. Which one of the following is the set of coordinates of that point?
A.	(-1, 0)
B.	(-2, 0)
C.	\(\left( { - \frac{{10}}{3},0} \right)\)
D.	(2, 0)
Answer» C. \(\left( { - \frac{{10}}{3},0} \right)\)

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