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
8.8 Show that the asymptotic expression for the fractional error in the discrete-time transfer
function H(e
jvT
) resulting from explicit Euler integration of the rst-order system
_
x ¼ lx þ u
is given by
e
H
¼
H(e
jvT
)
H( jv)
1
vl
2(v
2
þ l
2
)
vT j
v
2
2(v
2
þ l
2
)
vT, vT 1
What does the system reduce to when l ¼0? Comment on what happens to the real and
imaginary components.
8.9 Verify the curves plotted in Figures 8.14 and 8.15 for the fractional gain and phase errors based
on explicit Euler integration by using the MATLAB funct ions ‘‘real,’’ ‘‘imag,’’ ‘‘abs,’’ and
‘‘angle,’’ that is,
Fractional gain error e
M
¼ Re(e
H
) ¼ Re
H(e
jvT
)
H( jv)
1

¼ Re
jvT
e
jvT
1
1
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