(40 points) design a series of experiments to compare and contrast a relay controller and a pi controller. for both controllers, you should also include experiments related to the performance of the system with and without temperature sensor filtering. for the pi controller, you should include experiments with and without integral windup compensation. parameters of interest include percent overshoot, peak time, and 2% settling time. your experimental plan should include the following elements:
a. what are the independent and dependent variables?
b. data collection plan. provide a table listing the various conditions and controller settings you will use and number of times you will repeat each experiment.
c. what is the timeline for your data collection? i. note: remember to consider time constraints, i. e., how many experiments can you realistically perform in one ~3 hour lab period.
d. what data analysis will you perform?
e. what are the limitations of your study?