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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
Frequency response of the resulting z-domain transfer function
^
H(z) and the continuous-time
transfer function H(s) will agree at the selected critical frequency, that is,
H(s)
j
s¼jv
0
¼
^
H(z)
z¼e
jv
0
T
(8:462)
The prewarped crit ical freque ncy ^v
0
is obtained from (Jacquot 1981)
^v
0
¼
2
T
tan
v
0
T
2

(8:463)
The following example illustrates the process of prewarping a second-order continuous-time lter
transfer function to force agreement in the frequency response functions at the natural frequency of
the lter.
Example 8.13
An analog lter is described by
H(s) ¼
s þ v
2
n
s
2
þ 2zv
n
s þ v
2
n
(z ¼ 0:25, v
n
¼ 1000 rad=s) (8:464)
(a) Find H(z) using the bilinear transform with ...
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Publisher Resources

ISBN: 9781439836736