. Consider the observations in the follow-

ing table. The target value for this process is 50.

(a) Set up an integral controller for this process. Assume that the gain for the adjustment variable is g = 1.6 and assume that A = 0.2 in the EWMA forecasting procedure will provide adequate one-step-ahead predictions.

(b) How much reduction in variability around the target does the integral controller achieve?

(c) Rework parts

(a) and

(b) assuming that A = 0.4. What change does this make in the variability around the target in comparison to that achieved with A == 0.27

Transcribed Image Text:

Observation, t Observation. t y 1 50 26 43 2 58 27 39 3 54 28 32 4 45 29 37 5 56 30 44 6 56 31 52 7 66 32 42 8 55 33 47 9 69 34 33 10 56 35 49 11 63 36 34 12 54 37 40 13 67 38 27 14 55 39 29 15 56 40 35 16 65 41 27 17 65 42 33 18 61 43 25 19 57 44 21 20 61 45 16 21 64 46 24 22 43 47 18 23 44 48 20 24 45 49 23 25 39 50 26