1. Proportional controller followed by lag compensator design using root locus. Consider the unity feedback system shown in Figure 1 for C(s) – Ta-rrosi (a) Design a proportional controller D(s) = K to achieve the following transient response specifica-tions: to < 4.6s, Mp < 16%. Hint: first show that proportional control is sufficient to meet the requirements. D(s) G(s) Figure 1: Unity feedback system Y(s)