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What will be the closed loop transfer function of a unity feedback control system whose step response is given by
c(t) = K [1 – 1.66e– 8 t sin (6t + 37°)]
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100 K s2 + 16s + 100
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10 K s2 + 16s + 100
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K s2 + 16s + 100
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10 K s2 + 8s + 10
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Correct Option: A
| M(s) = | ||
| R(s) |
| But R(s) = | = | |
| c |
∴ M (s) = s C (s)
(ωn √1 - δ² t - φ)
Thus, 8 = δωn
and 6 = ωn √1 - δ²
⇒ δ = 0.8
and since ωn = 10 satisfy these equations,
therefore
| ≤ K [1 + 1.66 e– 8t sin (6t – 143°)] = | ||
| s(s2 + 16s + 100) |
| ∴ M(s) = s C(s) = | ||
| s2 + 16s + 100 |
