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## Q. 20.13

Repeat Exercise 20.12 for $Q =$ diagonal $\left[\begin{array}{ll}0.1 & 0.1\end{array}\right]$ and (i) $M=1$ and (ii) $M=5$.

## Verified Solution

We repeat problem 20.12, but this time we look at the case where $R =\left[\begin{array}{ll}0.1 & 1\end{array}\right], Q =\left[\begin{array}{ll}0.1 & 0.1\end{array}\right]$, and $M =1$ or $M =5$. The same three tests are repeated from 20.12.

(c) Step change in $XD$ from $0.85$ to $0.8$

(d) Step change in xB setpoint from 0.15 to 0.20

(e) Step change in column feed flow rate from 0.025 to 0.03   