The distillation column in Fig has the following transfer function model:

With Gv = Gm = Gt = l

(a) Design a feedforward controller based on a steady-state analysis.

(b) Design a feedforward controller based on a dynamic analysis.

(c) Design a PI feedback controller based on the Direct Synthesis approach of Chapter 12 with Te 30.

(d) Simulate the closed loop response to a unit step change in the disturbance variable using feedforward control only and the controllers of parts (a) and (b). Does the dynamic controller of part (b) provide a significant Improvement?

(e) Repeat part (d) for the feed forward-feedback control scheme of Fig and the controllers of parts (a) and (c) as well as (I,) and (c).

(f) Which control configuration provides the bestcontrol?

0.5e-0s 60s + 1 Y" (s) D'(s) 95s + 1' F(6) -20s Y"(s) %3D Distillate D.y Feed F, z Bottoms , Gf FF contraller Disturbance sensor/ transmitter Yd PFB sp G. Gp Control valve FB controller Ym Gm Sensor/transmitter