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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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