.

Consider the observanons shown in the following table. The target value for this process is 200.

(a) Set up an integral controller for this process. Assume that the gain for the adjustment variable is g = 1.2 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 1 = 0.27

Transcribed Image Text:

Observation, Observation, t 1 215.8 26 171.9 2 195.8 27 170.4 3 191.3 28 169.4 4 185.3 29 170.9 5 216.0 30 157.2 6 176.9 31 172.4 7 176.0 32 160.7 8 162.6 33 145.6 9 187.5 34 159.9 10 180.5 35 148.6 11 174.5 36 151.1 12 151.6 37 162.1 13 174.3 38 160.0 14 166.5 39 132.9 15 157.3 40 152.8 16 166.6 41 143.7 17 160.6 42 152.3 18 155.6 43 111.3 19 152.5 44 143.6 20 164.9 45 129.9 21 159.0 46 122.9 22 174.2 47 126.2 23 143.6 48 133.2 24 163.1 49 145.0 25 189.7 50 129.5