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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
an approach similar to the method used for rst-order systems with an input derivative term
present is employed. An articial variable z(t) is introduced, and the output y( t) is expressed as a
linear combination of z(t) and its two derivatives. The result is
d
2
dt
2
z(t) þ a
1
d
dt
z(t) þ a
0
z(t) ¼ u(t)(2:71)
y(t) ¼ b
0
z(t) þ b
1
d
dt
z(t) þ b
2
d
2
dt
2
z(t)(2:72)
The simulation diagram of the second-order system in Equation 2.70 is shown in Figure 2.14. Note
the use of the dot notation, short for differentiation with respect to time. It is clear that a direct
connection from the input u(t) to the output y(t) exists only when b
2
, the coefcient of the input
second
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Publisher Resources

ISBN: 9781439836736