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
A simulation diagram for an LTI system offers a conveni ent way of dening the states and
revealing whether a direct path (no integrators) exists from the input to the output. Figure 4.11
shows a simulation diagram for the third-order system
d
3
dt
3
y(t) þ a
2
d
2
dt
2
y(t) þ a
1
d
dt
y(t) þa
0
y(t) ¼ b
3
d
3
dt
3
u(t) þb
2
d
2
dt
2
u(t) þ b
1
d
dt
u(t) þ b
0
u(t)(4:173)
in what is known as observer canonical form (Ogata 1998). This form clearly shows the direct path
from the input u to the output y when b
3
0. For the case when b
3
¼0, the state x
3
is equal to the
output y and a direct path exists from u to
_
x
3
. For a unit step input, the following is true if b
3
¼0:
y(0
þ
) ¼ y(0
),
_
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