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please solve in details , I have an exam tomorrow Construct an inferential control system to regulate the distillate composition of a distillation column when

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Construct an inferential control system to regulate the distillate composition of a distillation column when the following transfer functions are provided: FXD=10s+110e10s,FT1=0.5s+10.05,XFXD=5s+125e5s,XFT1=60s+10.2e2s,RXD=s+15e0.5sRT1=20s+11.0 xF and f are the composition and flow rate of the feed, xD the distillate composition, r the reflux flow, and t1 the temperature at the top tray. Assume that concentrations cannot be measured and that r is the manipulated variable. a. Draw the resulting block diagram and place all relevant transfer functions. b. Since the parameters of the transfer functions above may change, augment the inferential control system with an adaptation mechanism. This mechanism can use intermittent measurements of xD and adjust accordingly the parameters of the inferential controller

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