An open loop control system results in a response of e–

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An open loop control system results in a response of e^{– 2t} (sin5t + cos5t) for a unit impulse input. The DC gain of the control system is ______.

1. 241
2. 0.241
3. 41
4. 0.21

Correct Option: B

g(t) = e ^{– 2} [sin5t + cos5t]
Taking lapcase transform of g(t),

∴ G(s) =	5	+	s + 2
	(s + 2)² + 5²		(s + 2)² + 5²

For DC gain, |G(s)|_{s = 0}

G(0) =	5	+	2	=	7
	2² + 5²		2² + 5²		29