GATE 2024 Electrical Engineering Q21

Question

Consider the standard second-order system of the form $\frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}$ with the poles $p$ and $p^*$ having negative real parts. The pole locations are also shown in the figure. Now consider two such second-order systems as defined below:

System 1: $\omega_n = 3$ rad/sec and $	heta = 60^\circ$
System 2: $\omega_n = 1$ rad/sec and $	heta = 70^\circ$

Which one of the following statements is correct?

Answer

Settling time of System 1 is more than that of System 2.

Answer

Settling time of System 2 is more than that of System 1.

Answer

Settling times of both the systems are the same.

Answer

Settling time cannot be computed from the given information.