GATE 2023 Control Systems Quiz 14

For a unity feedback control system, undamped natural frequency ω_n and bandwidth ω_b with open-loop transfer function as

are related as

Which of the below systems doesn’t undergo resonance?

The Nyquist plot for a system is shown below:

Which of the following is correct for the system? 

As the polar plot gets closer to the (–1 + j0) point, the stability of the system is

A closed loop system has performance characteristics:

Damping ratio, ξ = 0.3

Settling time, t_s = 2 sec

What will be the bandwidth (in rad/sec) of the closed loop system?

A second order unity feedback system is given below.

The specifications are such that the maximum overshoot must not exceed 30% and the corresponding limiting value of resonant peak M_r is _________