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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
F
dH
dt
A
+F
0
= F
1
F
0
= cH
1/2
u
e
1
Controller
Tank dynamics
e
u
F
1
H
H
com
FIGURE E6.37
(a) The state derivative is
dH
dt
¼
f
1
(H), H 2 S
1
f
2
(H), H 2 S
2
(
Regions S
1
and S
2
are dened such that when H is in region S
1
of state space, the
controller is off, and the opposite is true when H is in region S
2
. Find expressions for S
1
and S
2
in terms of the state H.
(b) Find expressions for the state derivate functions f
1
(H) and f
2
(H).
(c) Find the discontinuity function f(H) that species which region the state is in based on its
sign, that is, f(H) ¼0 implies the state H is transitioning between the two regions.
(d) Use the method that nds the time of the discontinuity to simulate ...
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Publisher Resources

ISBN: 9781439836736