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appear to have been proposed in the literature yet which appears to be another
worthwhile problem for further exploration.
9.13 PID Controller Using CCCIIs
Erdal et al. [
42
] demonstrated that using positive type CCCIIs along with two
passive components a PID controller can be systematically realized using a signal
flow graph based approach as shown in Fig.
9.43
. The controller gains K
P
,K
I
,K
D
can easily found to be:
R
0
R
1
R
x
1
R
x
6
,
K
I
¼
R
0
R
x
2
R
x
7
C
1
and
K
D
¼
R
x
4
R
x
5
R
o
C
2
R
x
3
R
x
8
K
P
¼
ð
:
Þ
9
58
A notable feature of this realization is that all the three controller gains can assigned
the required values by adjusting the control current I
bi
of selected CCCII. Since all
of them depend upon the X-terminal input resistances of the CCCIIs. This PID
circuit has been shown to be very useful for a stable control, very wide frequency
band which is almost 1MHz by appropriate selections of parameters values as
compared to PID controllers realized from conventional op-amps.
I
I
Y
1
Y
Z
I
X
6
Z
R
1
X
I
I
V
i
Y
2
Z
Y
II
X
7
Z
C
1
X
I
III
I
Y
I
Y
8
V
0
Z
3
Z
Y
X
R
0
4
X
Z
X
I
C
2
Y
5
Z
X
Fig. 9.43 A completely adjustable PID controller [
42
]
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