Problem

A unity feedback system has the process transfer functionDesign the controller Gc(s) such...

A unity feedback system has the process transfer function

Design the controller Gc(s) such that the Bode magnitude plot of the loop transfer function L(s) = Gc(s) G(s)is greater than 20 dB for ζ = 0.01 rad/s and less than –20 dB for ζ = 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.

FIGURE DP10.10 Bode plot loop shaping requirements.

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