PROJECT EE 380 Given a unity feedback control system with plant

PROJECT EE 380 Given a unity feedback control system with plant   1 1 ( ) 2    s s G s It is to be controlled by a controller which is placed in cascade with the plant.   Consider the following types of controller 1) P   2) PI     3) PD    4) PID     A) For each type, is it possible to stabilize the closed loop system by choosing the suitable parameter? If it is possible, pick the parameters so that the closed loop poles are at  2  j2 and ‐6 (if a third order system is obtained).   B) For each case, find the steady state error of the step response? Plot the step response using Simulink.