Design the controller gcs such that the bode magnitude plot

Question

A unity feedback system has the process transfer function

Design the controller G_c(s) such that the Bode magnitude plot of the loop transfer function L(s) = G_c(s)G(s)is greater than 20 dB for ω ≤ 0.01 rad/s and less than -2 0 dB for ω ≤ 10 rad/s. The desired shape of the loop transfer function Bode plot magnitude is illustrated in Figure DP10.10. Explain why we would want the gain to be high at low-frequency and the gain to be low at high-frequency.