Skip to Main Content
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
8.2.3 TRANSFER FUNCTION ERRORS
A second class of dynamic error involv es the frequency response functions of the continuous-time
system and the discrete-time system used to simulate it. The fractional error in the (discrete-time
system) transfer function is
e
H
¼
H(e
jvT
) H( jv)
H( jv)
(8:59)
where it is important to remember that
H( jv) ¼ H(s)
j
s jv
, H(z ) ¼ H(s)
j
s 1=H
I
(z)
, H(e
jvT
) ¼ H(z)
j
z e
jvT
(8:60)
The fractional error in transfer function is a complex-valued, frequency-dependent function, which
can be expressed in terms of a real and imaginary compon ent, that is,
e
H
¼
H(e
jvT
)
H( jv)
1 ¼ e
M
þ j e
A
(8:61)
In polar form, the frequency response functions are ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Digital Signal Processing with Examples in MATLAB, 2nd Edition

Digital Signal Processing with Examples in MATLAB, 2nd Edition

Samuel D. Stearns, Donald R. Hush

Publisher Resources

ISBN: 9781439836736