Question: Refer to the Paper Dry Weight case of. Yet another control algorithm was considered. κ1 from was halved and the coefficient κ2 was left at 1.66. The pump speed dial was set to 4.5 at 12:37. Thereafter, the new "PI" control algorithm was used to produce the values in Table.
(a) Find E(t) for all 9 periods and ΔE(t) and the corresponding ΔX(t) for periods 2 through 9.
(b) Plot Y (t) versus t.
(c) Plot E(t) versus t.
(d) Find the average squared error for periods 3 through 9, for periods 4 through 9, ... , and for periods 7 through 9.
(e) Make a plot of your values from (d) for t = 3,..., 7. (At time t plot the average squared error for periods t through 9.) Does the appearance of this plot give you hope that any transient or "startup" effects have been eliminated before the last few periods and that those periods adequately represent control algorithm performance?