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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
Since Equation 1.23 is only approximate, H(t) is replaced by H
A
(t) to distinguish it from the actual
solution H(t). From Equation 1.23 with H(t) replaced by H
A
(t),
H
A
(t þ Dt) ¼ 1
Dt
AR

H
A
(t) þ
Dt
A
F
1
(t)(1:24)
Equation 1.24 is a difference equation that can be solved for the approximate solution H
A
(t) when
F
1
(t), t 0 and H
A
(0) are known. As we shall see, the approximate solution H
A
(t) can only be
determined at discrete times, namely, t ¼0, Dt,2Dt,3Dt,....
1.3.1 RECURSIVE SOLUTIONS
Difference equations are easily solved because of their inherent structure. The solution values
H
A
(nDt), n ¼1, 2, 3, . . . are obtained in a sequential fashion by repeat
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Publisher Resources

ISBN: 9781439836736