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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
0
0 102030405060708090100
0 102030405060708090100
f
1
(t), (cu ft per min)
h
2
(t), (ft)
20
40
60
80
f
1
(t) vs. t
h
2
(t) vs. t
0
10
20
30
40
t (min)
h
2
(50)
0
t
Area =
f
1
(t)dt
1
A
2
h
2
(50) =
×Area
FIGURE E3.3
3.3 EULER INTEGRATION
The previous section presented a framework for nding a discr ete-time system approximation of a
continuous-time integrator. An approxi mation to the integral term in Equation 3.16 is needed. The
simplest approach assumes the integrator input u(t) is constant over the interval, that is, u(t) u(n),
nT t (n þ1)T where u(n) is short for u(nT) as shown in Figure 3.5.
The exact area under the function u(t), nT t (n þ1) T is being approximated by
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Publisher Resources

ISBN: 9781439836736