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The overshoot of the system
16K s(s2 + 2s + 16
for a step input applied would be—
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- 60%
- 40%
- 20%
- 10%
- 60%
Correct Option: B
Given C.E. = s2 + 2s + 16 = 0
NOTE : Here reader not confused with
C.E. = s (s2 + 2s + 16).
Because here s is the input term, on comparing this equation with the standard equation
s2 + 2ξ ωns + ωn2 = 0
we get
2 ξ ωn = 2, ωn 2 = 16 so ωn = 4.
| ξ = | = | = 0.25 | ||
| 2ωn | 2 × 4 |
so % Mp = e–π ξ√1 – ξ2 × 100
= e – 3·14 × 0·25 √1 – (.25)2
= 40%
