Using the given information, determine the transfer functions for Gv(s) and Gm(s).

Note: The final control element in this system acts like a valve, but for controlling electric current or power instead of liquid or vapor flow rate. Treat it like a valve.

f. Determine the open-loop transfer function for this system, given your answers to Parts d and e*, and assuming the controller is set to Proportional Control Mode.

*If you could not answer Parts d or e, use the following for Part f: () = 20 2 5 + 1 () = 0.1 () = 1 + 1 g. Using a Bode Plot, determine the ultimate gain and ultimate period of the system. Include an image of your Bode Plot and the code with your name commented on line 27 (Type % and then your name, it should turn green).

h. Using your answers from Part g**, estimate Ziegler-Nichols Tuning Parameters for a PID controller, with units. **If you could not answer Part g, use the following for Part h: = 2.5 = 8 i.

The tuning parameters you calculated in Part h were used to operate the control system in automatic mode. Upon making a step change increase to the set point, the temperature overshot the new set point by 15C and tended to oscillate for nearly 30 minutes before finally settling down at the new set point. What are two changes that you could make to the tuning parameters to improve the controller performance and why would they help?

The equipment to be used in this feedback control system has the following specifications: The equipment to be used in this feedback control system has the following specifications