Consider a causal second-order system with the transfer function \(G\left( s \right) = \frac{1}{{1 + 2s + {s^2}}}\) with a unit-step \(R\left( s \right) = \frac{1}{s}\) as an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value \(\mathop {\lim }\limits_{t \to \infty } c\left( t \right)\), rounded off to two decimal places, is

Consider a causal second-order system with the transfer function \(G\l

1.	Consider a causal second-order system with the transfer function \(G\left( s \right) = \frac{1}{{1 + 2s + {s^2}}}\) with a unit-step \(R\left( s \right) = \frac{1}{s}\) as an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value \(\mathop {\lim }\limits_{t \to \infty } c\left( t \right)\), rounded off to two decimal places, is
A.	5.25
B.	4.50
C.	3.89
D.	2.81
Answer» C. 3.89

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