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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
EXERCISES
3.8 Referring to Figure 3.7,
(a) Find the equation of the linear approximation u
1
(t) through the end points [nT, u(n)] and
[(n þ1)T, u(n þ1)].
(b) Verify Equation 3.39 by integrating u
1
(t) from nT to (n þ1)T.
3.9 The rst-order system dx=dt ¼lx with initial condition x(0) ¼x
0
is to be simulated using
trapezoidal integration with step size T. The truncation error after n steps is e
n
¼x
A
(n)
x(nT), where x(t), t 0 is the exact solution and x
A
(n), n ¼0, 1, 2, . . . is the approximate
(simulated) solution, that is, x
A
(n) x(nT), n ¼0, 1, 2, 3, . . . . Suppose the truncation error after
the rst step is equal to a fraction of the initial condition, ...
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Publisher Resources

ISBN: 9781439836736