(10 pts) Consider a G in a unity closed loop with a controller D Gp 32+ 3s +2 Assume a proportional controller D = K. Find the value of K for the closed loop system to have a rise time of 0.2 s. Draw the root locus of G, and mark the location of the closed loop pole for t = 0.2s . Can a proportional controller be designed to simultaneously meet the t = 0.2s, M, = 10%? Design a PD controller to meet the above requirements Draw the root locus of the modified system Find the steady state error for unity step input