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1) Apply the two Z-N tuning methods to compute a PID for the following plant G(s) = 20(-0.3s +1) S2 + 5s + 20 2) Design a PID with unity gain crossover frequency the same as plant open-loop bandwidth and PM 45 3) Compare the T and S sensitivities of all three controllers and their corresponding step reference responses and step output disturbance responses. 1) Apply the two Z-N tuning methods to compute a PID for the following plant G(s) = 20(-0.3s +1) S2 + 5s + 20 2) Design a PID with unity gain crossover frequency the same as plant open-loop bandwidth and PM 45 3) Compare the T and S sensitivities of all three controllers and their corresponding step reference responses and step output disturbance responses