The distillation column in Fig. 15.8 has the following I)

Chapter 15, Problem 15.10

(choose chapter or problem)

The distillation column in Fig. 15.8 has the following transfer function model:

\(\frac{Y^{\prime}(s)}{D^{\prime}(s)}=\frac{2e^{-20s}}{95s+1}\quad\ \ \ \ \frac{Y^{\prime}(s)}{F^{\prime}(s)}=\frac{0.5e^{-30s}}{60s+1}\)

(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 \(\tau_{c}=30\).

(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 feedforward-feedback control scheme of Fig. 15.11 and the controllers of parts (a) and (c), as well as (b) and (c).

(f) Which control configuration provides the best control?

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