DP10.10 A unity feedback system has the process trans

fer function

Design the controller G s c ( ) such that the Bode mag

nitude plot of the loop transfer function L s( ) =

G s c( )G s( ) is greater than 20 dB for ω ≤ 0.01 rad s and less than −20 dB for ω ≤ 10 rad s. The desired shape of the loop transfer function Bode plot magni

tude 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.

s+ 1.59 G(s) = s(s+3.7)(s2+2.4s + 0.43)