A. Explain the difference between an open loop and a closed loop control system. What are the advantages of closed loop negative feedback control when compared to an open loop control system? B. Explain the purpose of a PID controller. Explain what the P, the I, and the D stands for in “PID controller”. What are the components of a negative feedback loop control system with a PID controller? Make a descriptive image of a flow diagram for a negative feedback loop control system with a PID controller using PowerPoint or some other software. Describe the pathway that the signal goes through within the negative feedback loop. C. Explain the general idea behind the P, the I, and the D constants. What happens when you increase the P term? What happens when you increase the I term? What happens when you increase the D term? D. Explain why you might want a system to be overdamped, underdamped, or critically damped. What are the benefits and weaknesses of each? How does an undamped system behave? How can you use a PID controller to stabilize an unstable system? E. What is the time constant? What is overshoot? What is rise time? What is settling time? F. Describe fuzzy logic control and finite state machines. G. Use the given headings for your report. H. Use 12-point font for text. I. Use double-spacing.