Develop first-order-plus-time-delay (FOPTD) transfer function models from your simulated furnace response data that you obtained from the PCM Furnace Module Tutorial. Do the following:

1. Include labeled plots of the simulated data for the three process variables of interest: air flow rate, q_A; hydrocarbon exit temperature, T; and the O₂ exit concentration, CO₂.
2. Develop FOPTD models that relate output variable, T, to the input variable, q_A. Use one of the methods described in Chapter 7 of the SEM textbook. Determine an individual transfer function model for each of the three q_A step changes.
3. Summarize your calculated model parameters in a table. Also, briefly describe the method that you used to calculate the model parameters.
4. Plot the responses for furnace temperature, T, and the transfer function model response, T_mod, for the q_A step changes used in the Tutorial.