A unity feedback system with the loop transfer function

where
(a) Select a gain K so that the steady-state error for a ramp input is 10% of the magnitude of the ramp function A, where r(t) = At, t ≥ 0. (b) Obtain the Bode plot of loop transfer function, and determine the phase and gain margins. (c) Determine the bandwidth
the resonant peak
and the resonant frequency
of the closed-loop system.
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