engineering recuitment GATE EE 2023-24 Test Series Control Systems Time Response Analysis Time Response of the First and Second Order System
A system has a damping ratio of 1.25, a natural frequency of 200 rad/s and DC gain of 1. The response of the system to a unit step input is
1
\(1 + \frac{5}{3}{e^{ - 50t}} - \frac{2}{3}{e^{ - 150t}}\)
2
\(1 - \frac{4}{3}{e^{ - 100t}} + \frac{1}{3}{e^{ - 400t}}\)
3
\(1 + \frac{1}{3}{e^{ - 100t}} - \frac{4}{3}{e^{ - 400t}}\)
4
\(1 + \frac{2}{3}\;{e^{ - 50t}} - \frac{5}{3}{e^{ - 150t}}\)