E10.15 A unity feedback control system has a plant transfer function

100 G(s) = s(s+8) We desire to attain a steady-state error to a ramp r(t) = At of less than 0.16A and a phase margin of P.M. = 35. We desire to have a crossover frequency we 20 rad/s. Determine whether a phase-lead or a phase-lag compensator is required.