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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
Approximating the integral by trape zoidal integration and the derivative by a backward difference
equation leads to the equivalent digital transfer function (Jacquot 1981)
D(z) ¼
c
1
z
2
þ c
2
z þ c
3
z
2
z
(5:122)
where
c
1
¼ K
P
þ
K
I
T
2
þ
K
D
T
, c
2
¼
K
I
T
2
K
P
2K
D
T
, c
3
¼
K
D
T
(5:123)
The continuous-time process model is (see Section 2.7)
C
dT
dt
þ
1
R
T ¼
1
R
T
0
þ Q
H
(5:124)
where
C is the thermal capacitance of the interior space (objects and volume of air assumed to be at the
same temperature)
R is the effective thermal resistanc e of the material separating the inside and outside of the
chamber
The heater output is
Q
H
(t) ¼
v
2
(t)
R
e
(5:125)
where R
e
is the electrical resistance of the heater ...
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Publisher Resources

ISBN: 9781439836736