For the model defined in Question 1, the coefficients of the characteristic polynomial are: a. [1 36.32 182.406 O b. [1 36.32 182.406 O c. [1 36.32 182.406 O d. [1 36.32 182.406 Oe. None of the above 1 o] 0 1] 0 o] 9.81 o]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the model defined in Question 1, the coefficients of the characteristic polynomial are:
O a. [1 36.32 182.406 1 o]
O b. [1 36.32 182.406
Oc. [1 36.32 182.406
O d. [1 36.32 182.406
O e. None of the above
0
0
9.81
o]
Transcribed Image Text:For the model defined in Question 1, the coefficients of the characteristic polynomial are: O a. [1 36.32 182.406 1 o] O b. [1 36.32 182.406 Oc. [1 36.32 182.406 O d. [1 36.32 182.406 O e. None of the above 0 0 9.81 o]
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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