Question: The following data were collected from a cell concentration sensor measuring absorbance in a biochemical stream. The input x is the flow rate deviation (in

The following data were collected from a cell concentration sensor measuring absorbance in a biochemical stream. The input x is the flow rate deviation (in dimensionless units) and the sensor output y is given in volts. The flow rate (input) is piecewise constant between sampling instants. The process is not at steady state initially, soy can change even though x = 0. Fit a first-order model, y(k) = a1y(k – 1) + b1x(k – 1), to the data using the least-squares approach. Plot the model response and the actual data. Can you also find a first-order continuous transfer function to fit thedata?

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