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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 asymptotic approximation for H(e
jvT
) in Equation 8.87 also predicts a delay of vT=2 rad in
x
A
(n) relative to the continuous-time output x(t). The time delay can be estimated by zooming in on
the respon ses in the top half of Figure 8.17.
Alternatively, the time delay can be determined by nding the time between occurrences of equal
values of x
A
(n) and x(t). For example, at t ¼4 s, the discrete-time variable n ¼4=0.025 ¼160 and
from M-le ‘‘Chap8_Fig2_17.m,’’ x
A
(160) ¼0.05603. Setting x(t
0
) ¼x
A
(160) ¼0.5603 and solving
for t
0
.
x(t
0
) ¼
1
v
(1 cos vt
0
) ¼ x
A
(160) ¼ 0:5603 (8:89)
t
0
¼
1
2
cos
1
[1 2(0:5603)] þ
2p
v
¼ 3:9874 s(8:90)
The simulated response x
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Publisher Resources

ISBN: 9781439836736