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The open loop transfer function G(s) of a unity feedback control system is given as,
G(s) = k 
s + 2 
3 s2 (s + 2)
From the root locus, it can be inferred that when k tends to positive infinity,
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- three roots with nearly equal real parts exist on the left half of the s-plane
- one real root is found on the right half of s-plane
- the root loci cross the jω axis for a finite value of k; k ≠ 0
- three real roots are found on the right half of the s-plane
Correct Option: A
| Centroid , σ = | -2 - | | - | 2 | | = | -6 + 2 | = | -4 | = - | 2 |
| 3 | |||||||||||
| 3 - 1 | 6 | 6 | 3 | ||||||||
| Asymptotes = | ||
| p - z |
| θ1 = | = 90° | |
| 2 |
| and θ2 = | = 270° | |
| 2 |
