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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
(a) Dividing through by the lead coefcient term R
1
, C
1
, R
2
, and C
2
and introducing new constants
a
1
, a
2
, b
0
, b
1
, and b
2
give
v
0
þ a
1
_
v
0
þ a
0
v
0
¼ b
2
v
i
þ b
1
_
v
i
þ b
0
v
i
(3:99)
where
a
0
¼
1
R
1
C
1
R
2
C
2
, a
1
¼
R
1
C
1
þ R
1
C
2
þ R
2
C
2
R
1
C
1
R
2
C
2
(3:100)
b
0
¼
1
R
1
C
1
R
2
C
2
, b
1
¼
R
1
C
1
þ R
2
C
2
R
1
C
1
R
2
C
2
, b
2
¼ 1(3:101)
Constructing the simulation diagram for the system starts with the following two equations, which
are equivalent to Equation 3.99 (see Section 2.4):
z þ a
1
_
z þ a
0
z ¼ v
i
(3:102)
v
0
¼ b
0
z þ b
1
_
z þ b
2
z (3:103)
Solving for
z in Equation 3.102 and substituting the result in Equation 3.103 yield
v
0
¼ b
0
z þ b
1
_
z þ b
2
[v
i
a
0
z a
1
_
z](3:104)
¼ (b
0
a
0
b
2
)z þ (b
1
a
1
b
2
)
_
z þ b
2
v
i
(3:105)
The simulation ...
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Publisher Resources

ISBN: 9781439836736