25
CHAPTER 1 TEMPERATURE CONTROL MODULE
1
1.
4 PI
D
O
per
at
ion
1.4
PID Operation
The temperature control module can perform PID control in process-value incomplete derivation.
1.4.1
Operation method and formula
The PID control in process-value incomplete derivation uses primary delay filter for the input of a derivative action. This
method performs PID operation to a deviation (E) from which a high frequency noise component is eliminated.
(1) Algorithm of PID control in process-value incomplete derivation
The algorithm of PID control in process-value incomplete derivation is shown below.
(2) Formula
The formula of the temperature control module is shown below.
The PID control in process-value derivation is an operation method which uses the temperature process value (PV) as a
derivative term in PID operation. Because of no use of the deviation for the derivative term, a sudden change in output by a
derivative action is mitigated at the time of the variation of deviation associated with a setting value change.
Object to be
controlled
Slow
Normal
Fast
1
Disturbance D
G(s)
Temperature
process value (PV)
Laplace transform
Derivative
Proportional gain
Integral time
Derivative time
Set value (SV)
K
P
(1 )
Control response
parameter
K
P
T
I
T
D
s
Manipulated
value (MV)
:
:
:
:
:
T
I
s
K
P
T
D
s
1 T
D
s
+
-
Temperature control module
Sampling cycle
Incomplete derivative output
Temperature process value
Derivative time
Derivative
MV
n
MV
n-1
T
D
(PV
n-1
PV
n
)
T
D
MV
n-1
MV
PV
T
D
T
D
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