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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
Setting Q
3
(s) ¼0 in Equation 4.197 and solving Equations 4.195 through 4.198 for X
3
(s) and X
4
(s),
X
3
(s) ¼
s þ k
1
k
21
0 k
41
k
12
s þ k
2
00
0 k
23
00
k
14
0 Q
4
(s) s þ k
4
s þ k
1
k
21
0 k
41
k
12
s þ k
2
00
0 k
23
s þ k
3
0
k
14
0 k
34
s þ k
4
(4:201)
X
4
(s) ¼
s þ k
1
k
21
00
k
12
s þ k
2
00
0 k
23
s þ k
3
0
k
14
0 k
34
Q
4
(s)
s þ k
1
k
21
0 k
41
k
12
s þ k
2
00
0 k
23
s þ k
3
0
k
14
0 k
34
s þ k
4
(4:202)
Evaluation of the determinants in Equations 4.201 and 4.202 is a tedious process left as an exercise
problem. The results are as follows:
X
3
(s) ¼
a
0
s
4
þ a
3
s
3
þ a
2
s
2
þ a
1
s þ a
0

Q
4
(s)(4:203)
X
4
(s) ¼
s
3
þ b
2
s
2
þ b
1
s þ b
0
s
4
þ a
3
s
3
þ a
2
s
2
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Publisher Resources

ISBN: 9781439836736