Develop a transfer function model for the Distillation column. please implement the following in a step$-$by$-$step manner:

$1.$ Identify the control variables, manipulated variables, and the disturbance variables.

$2.$ Try to develop a dynamic model of the system using material and energy balance equations. You can do some literature review to directly obtain the already existing models corresponding to your work domain by searching a few research articles.

$3.$ Perform degrees of freedom analysis.

$4.$ Develop a transfer function model to correlate the control variable $($output$)$

with the manipulated and disturbance $($input$)$ variables.

$5.$ Identify if it is a first order$/$ second order model.

$6.$ Consider unit step, ramp, and impulse inputs and identify the response of the output control variable in time domain.