Consider a system with a loop transfer function

We wish to obtain a resonant peak Mpω) = 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.

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1000) GA,O(s)- 80 60 E 40 20 Gain 0° Phase 2 90 0 -180° -20 L 10 100 lk k 100k 1M Frequency (Hz)