Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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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 =
0 00
-30.3
0.00012 -6.02 0 0
0 -3.77 00
0
-2.80 0 0
Is the system?:
a. unstable
b.
C.
not unstable
x+
6.15
0
0
0
0
3.04
0 0.052
not asymptotically stable
d. asymptotically stable
-1
u y =
0
0
0
0
-7.3
0
0
-25.0
X
Transcribed Image Text:The system matrices in the control canonical form are in the form: (‘xxx' indicates a non-zero numerical value.)
a.
b.
ن
d.
A =
A =
A =
A =
XXX
0
0
0
-0
o
0
90
0
XXX
0
0
XXX XXX
-0
0
0
1
0
-0 1
0
0
XXX
- 90
0
1 0
-0 1
0 0 0
0 -0
0
XXX
0.0
0
0
XXX
0.0
0
1
XXX
XXX XXX XXX XXX
XXX
0
1
0 0.0
1
0
0 1
XXX XXX XXX XXX
9
9
9
B =
B =
B =
B =
XXX
XXX
XXX
XXX
0
0
0
XXX
0
0
0
XXX
0
XXX
XXX
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