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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
of departure u(0) ¼u
0
and its initial velocity v(0) ¼v
0
off the bow are random variables
with probability density functions
f
u
0
(u) N(m
u
0
, s
u
0
), 1 < u < 1 (5:147)
f
v
0
(u) U[(v
0
)
L
, (v
0
)
U
], (v
0
)
L
v (v
0
)
U
(5:148)
where
m
u
0
and s
u
0
are the mean and standard deviation of the Normal population
(v
0
)
L
and (v
0
)
U
are the lower and upper limits of the Uniform population
A Monte Carlo experiment can be designed to estimate the probability of hitting the target.
‘‘Chap5_MonteCarlo_arrow.m’’ uses the MATLAB functions ‘‘rand’’ and ‘‘randn’’ to generate
random deviates R
i
U(0, 1) and z
i
N(0, 1). R
i
and z
i
are transformed to random deviates from the
desired populations, Equations 5.147 and 5.148 by
(u
0
)
i
¼ m
u0
þ z
i
s
u
0
(5:149)
(v
0
)
i
¼ (v
0
)
L
þ [(v
0
)
U
(v
0
)
L
]R
i
(5:150)
For now, ...
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Publisher Resources

ISBN: 9781439836736