2.4 Design and develop the PID control system shown in Figure 4 and assume that a proportional controller is used. 1. Use unit step function as an input reference signal and K equal 1, simulate the system and plot the responses. Then, obtain the value of K that is corresponds to the system's critical gain and determine the critical period. Explain your findings considering both trial and analytical values? II. III. Design P, Pl, and PID controller using your findings. Design and develop MATLAB/SIMULINK Model of the system to verify and investigate all the above questions and explain your design and development design decisions. R(s) 1 C(s) Ge(s) s(s + 1)(s + 5) PID controller Figure 4: Proportional, Integral, Differential (PID) Control System

Fig: 1