Consider the PCM furnace module of Appendix H. Assume that hydrocarbon temperature T_HC is the output variable and air flow rate F_A is the input variable.
Do the following:

1. Develop a FOPTD model from response data for a step change in F_{A at t = 10 min from 17.0 to 20.0 m3/min. Summarize your calculated model parameters in a table and briefly describe the method used to calculate them.}
2. Repeat (a) for a second-order plus time-delay (SOPTD) model.
3. Plot the actual T_HC response and the two model responses for the F_{A step change of part (a).}
4. Are the two models reasonably accurate? Which model is superior? Justify your answer by considering the least square residuals for the one-step ahead prediction errors,