W wish to obtain a resonant peak mpomeganbsp 30 db for

Question

Consider a system with a loop transfer function

We wish to obtain a resonant peak M_pω = 3.0 dB for the closed-loop system. The peak occurs between 6 and 9 rad/s and is only 1.25 dB. Plot the Nichols chart for the range of frequency from 6 to 15 rad/s. Show that the system gain needs to be raised by 4.6 dB to 171. Determine the resonant frequency for the adjusted system.