The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: X = -30.3 0.00012 0 0 0 00 6.02 0 0 -3.77 0 0 -2.80 0 0 x+ 6.15 0 0 0 0 0 3.04 0.052 u y = 0 0 0 -7.3 0 0 0 -25.0

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For the model defined in Question , choose the rank of the observability matrix from the list given below: 

a.2
b.3
c.4
d.0
e.None of the above
The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the
flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space
model is given by:
X =
-30.3
0.00012
0
0
0 00
6.02 0 0
-3.77 0 0
-2.80 0 0
x+
6.15
0
0
0
0
0
3.04
0.052
u
y =
0
0
0 -7.3
0
0
0 -25.0
Transcribed Image Text:The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: X = -30.3 0.00012 0 0 0 00 6.02 0 0 -3.77 0 0 -2.80 0 0 x+ 6.15 0 0 0 0 0 3.04 0.052 u y = 0 0 0 -7.3 0 0 0 -25.0
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