engineering recuitment GATE ECE 2023-24 Test Series Control Systems Time Response Analysis Time Domain Specifications
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
1
5.25
2
4.50
3
3.89
4
2.81