-
The characteristic equation of a feedback control system is given by
s3 + 5s2 + (K + 6) s + K = 0
where K > 0 is a scaler 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
-
- (– 3, 0)
- (– 2, 0)
- (– 1, 0)
- (2, 0)
Correct Option: B
Given : s3 + 5s2 + (K + 6)s + K = 0
Root locus-asymptotes meet at
s 3 + 5s 2 + 6s + K(s + 1) = 0
| ⇒ 1 + | = 0 | |
| s(s + 2)(s + 3) |
| ⇒ σA = | = - 2 | |
| 3 - 1 |
