Q1: A chemical process having two input variables and one output variable. If the response of the output variable Y(t) to a separate step change in the input variables X1 and X2 were recognized as presented in tables 1 and 2 respectively. Predict the parameters of the transfer function that relates the output variable as a function of input variables. Table (1) Table (2) Time (s) X:(t) Y(t) Time (s) X:(t) Y(t) 0.000 0.00 0.000 0.00 4 2 0.944 2 0.65 8 2 1.517 2 2.01

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Q1: A chemical process having two input variables and one output variable. If the response of the
output variable Y(t) to a separate step change in the input variables X1 and X2 were recognized as
presented in tables 1 and 2 respectively. Predict the parameters of the transfer function that relates
the output variable as a function of input variables.
Table (1)
Table (2)
Time (s)
X:(t)
Y(t)
Time (s)
X:(t)
Y(t)
0.000
0.00
0.000
2
0.00
4
2
0.944
2
0.65
8.
2
1.517
2
2.01
12
1.864
12
2
3.34
16
2.075
16
4.20
20
2.203
20
2
4.51
24
2
2.281
24
4.39
28
2
2.328
28
2
4.06
32
2
2.356
32
2
3.71
36
2.373
36
3.47
40
2
2.384
40
2
3.37
44
2
2.390
44
3.39
48
2.394
48
2
3.47
52
2
2.396
52
2
3.56
56
2.398
56
3.63
60
2
2.399
60
3.66
64
2.399
64
3.66
68
2.400
68
2
3.64
72
2.400
72
2
3.61
76
2
2.400
76
3.60
80
2
2.400
80
2
3.59
84
2.400
84
3.59
88
2
2.400
88
2
3.59
92
2.400
92
3.60
96
2.400
96
3.60
100
2.400
100
3.60
Transcribed Image Text:Q1: A chemical process having two input variables and one output variable. If the response of the output variable Y(t) to a separate step change in the input variables X1 and X2 were recognized as presented in tables 1 and 2 respectively. Predict the parameters of the transfer function that relates the output variable as a function of input variables. Table (1) Table (2) Time (s) X:(t) Y(t) Time (s) X:(t) Y(t) 0.000 0.00 0.000 2 0.00 4 2 0.944 2 0.65 8. 2 1.517 2 2.01 12 1.864 12 2 3.34 16 2.075 16 4.20 20 2.203 20 2 4.51 24 2 2.281 24 4.39 28 2 2.328 28 2 4.06 32 2 2.356 32 2 3.71 36 2.373 36 3.47 40 2 2.384 40 2 3.37 44 2 2.390 44 3.39 48 2.394 48 2 3.47 52 2 2.396 52 2 3.56 56 2.398 56 3.63 60 2 2.399 60 3.66 64 2.399 64 3.66 68 2.400 68 2 3.64 72 2.400 72 2 3.61 76 2 2.400 76 3.60 80 2 2.400 80 2 3.59 84 2.400 84 3.59 88 2 2.400 88 2 3.59 92 2.400 92 3.60 96 2.400 96 3.60 100 2.400 100 3.60
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