The staged system model for a three-stage absorber is presented in Eqs. (2?73)?(2?75), which are in state space form. A numerical example of the absorber model suggested by Wong and Luus² has the following parameters: H = 75.72 lb, L = 40.8 lb/min, G = 66.7 lb/min, a = 0.72 and b = 00. Using the MATLAB function ss2tf calculate the three transfer functions (Y(/Y_f, Y₂/Y_f, Y₃/Y_f) for the three state variables and the feed composition deviation Y_f, as the input.

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dx1 = K(yf - b) – (1 + 5) x1 + x2 dt (2-73) (2-75) dx3 Sx2 - (1 + 5)x3 + xf