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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
Updating the current discrete-time state vector [x
1,A
(i), x
2,A
(i),..., x
n,A
(i)] to the new vector
[x
1,A
(i þ1), x
2,A
(i þ1),..., x
n,A
(i þ1)] with RK-m integration consists of determining, in the
proper sequence, the derivatives k
j,p
, j ¼1, 2, . . . , m and p ¼1, 2, 3, . . . , n. By the proper sequence,
we mean k
1,1
, k
1,2
,...,k
1,n
, followed by k
2,1
, k
2,2
,...,k
2,n
up through by k
m,1
, k
m,2
,...,k
m,n
.
To illustrate, suppose we are dealing with a third-order (n ¼3) system and choose to implement a
fourth-order (m ¼4) RK-4 integrator to update the discr ete-time state. The three derivative functions
are each calculated four times in the following order:
k
1,1 ...
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Publisher Resources

ISBN: 9781439836736