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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
Given F
0
, Equations 8.294 and 8.295 can be solved in that order to nd the operating point levels
H
2
, H
1
and ultimately the remaining dependent variable operating point values, namely, F
12
,
F
2
, and p
2
.
The nonlinear system model in Equations 8.286 through 8.291 can be reduced to
dH
1
dt
¼ f
1
(H
1
, H
2
, F
0
)(8:296)
¼
1
A
1
F
0
c
1
g(H
1
L
2
)
H
2
L
2
H
2

p
0

1=2
"#
, H
1
L
1
(8:297)
dH
2
dt
¼ f
2
(H
1
, H
2
, F
0
)(8:298)
¼
1
A
2
c
1
g(H
1
L
2
)
H
2
L
2
H
2

p
0

1=2
c
2
H
2
L
2
H
2

p
0
þ gH
2

1=2
"#
(8:299)
The linearized state model is
d
dt
D
H(t) ¼ ADH(t) þ BDF
0
(t)(8 :300)
D
y(t) ¼ CDH(t) þ DDF
0
(t)(8:301)
where
D
H(t) ¼
DH
1
(t)
DH
2
(t)

¼
H
1
(t) H
1
H
2
(t) H
2
"#
(8:302)
D
y(t) ¼
DH
1
(t)
DH
2
(t)
DF
12
(t)
DF
2
(t)
Dp
2
(t)
2
6
6
6
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Publisher Resources

ISBN: 9781439836736