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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
The output y
k
is expres sed in terms of the state and input according to
y
k
¼ b
m
x
nmþ1,k
þþb
2
x
n1,k
þ b
1
x
n,k
þ b
0
w
k
(4:512)
¼ b
m
x
nmþ1,k
þþb
2
x
n1,k
þ b
1
x
n,k
þ b
0
[u
k
a
n
x
1,k
a
2
x
n1,k
a
1
x
n,k
](4:513)
y
k
¼
a
n
b
0
x
1,k
a
n1
b
0
x
2,k
a
1
b
0
x
n,k
þ b
0
u
k
, m ¼ 0
a
n
b
0
x
1,k
a
n1
b
0
x
2,k
a
mþ1
b
0
x
nm,k
þ(b
m
a
m
b
0
)x
nmþ1,k
þþ(b
1
a
1
b
0
)x
n,k
þ b
0
u
k
, m ¼ 1, ..., n 1
(b
n
a
n
b
0
)x
1,k
þ ( b
n1
a
n1
b
0
)x
n1,k
þþ(b
1
a
1
b
0
)x
n,k
þ b
0
u
k
, m ¼ n
8
>
>
>
<
>
>
>
:
(4:514)
In the general case of a linear discrete-time system with r inputs and p outputs, the discrete-time
state equations are of the form
x
kþ1
¼ Ax
k
þ Bu
k
, y
k
¼ Cx
k
þ Du
k
(4:515)
where the system matrix A is n n, the input matrix
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Publisher Resources

ISBN: 9781439836736