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What is the unit step response of a unity feedback control system having forward path transfer
function G(s) = 80 s(s + 18)
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- Overdamped
- Critically damped
- Underdamped
- Undamped oscillatory
Correct Option: D
| T(s) = | = | |||
| 1 + G(s) | s2 + 18s + 80 |
| = | ||||
| R(s) | s2 + 18s + 80 |
Here , 2ξωn = 18
and ωn = √80
| ∴ ξ = | = 1.006 | |
| 2√80 |
Since, ξ > 1, the system is overdamped.
