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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
Substituting (z 1)=T for s in Equation 4.783 leads to
Dz(z)
Dz
com
(z)
¼
^
K
C
K
a
T
4
l
1
z (l
1
l
0
T)
z
5
þ g
4
z
4
þ g
3
z
3
þ g
2
z
2
þ g
1
z þ g
0

(4:784)
where
g
4
¼5 þ m
4
T
g
3
¼10 4m
4
T þ m
3
T
2
g
2
¼10 þ 6m
4
T 3m
3
T
2
þ m
2
T
3
g
1
¼ 5 4m
4
T þ 3m
3
T
2
2m
2
T
3
þ m
1
T
4
g
0
¼1 þ m
4
T m
3
T
2
þ m
2
T
3
m
1
T
4
þ m
0
T
5
9
>
>
>
>
>
>
>
=
>
>
>
>
>
>
>
;
(4:785)
To simulate the altitude response to a step input command of magnitude Dz
com
¼A, we need the
difference equation relating Dz
k
and (Dz
com
)
k
. Cross multiplying Equation 4.784 after multiplying
numerator and denominator by z
5
gives
(1 þ g
4
z
1
þ g
3
z
2
þ g
2
z
3
þ g
1
z
4
þ g
0
z
5
)Dz(z)
¼
^
K
C
K
a
T
4
[l
1
z
4
( l
1
l
0
T)z
5
]Dz
com
(z)(4:786)
Invert z -transforming both sides of Equation 4.786 ...
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Publisher Resources

ISBN: 9781439836736