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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
The transient component is
v
c
(t)
tr
¼ [v
c
(0) KE
0
]e
t=RC
, t 0
¼ [3 (1)(12)]e
t=62510
6
¼9e
t=62510
6
and the steady-state component is
v
c
(1) ¼ KE ¼ 1
V
V
(12 V) ¼ 12 V
Graphs of the steady-state, transient, and complete responses are shown in Figure 2.3.
Note that the transient response has decayed to essentially zero after ve time constants
(5 625 10
6
¼3.125 10
3
) have elapsed.
EXERCISES
2.1 The tank shown in Figure 2.2 has a constant cross-sectional area A and uid resistance R.
(a) Find expressions for the time constant t and steady-state gain K of the tank in terms of the
physical parameters A and R.
(b) The empty tank is subject to a constant ...
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Publisher Resources

ISBN: 9781439836736