Справочник Пользователя для Mitsubishi Electronics Q64TCTTN

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CHAPTER 1 OVERVIEW
1
1.3  About
 the PID Operation
1.3.1  Oper
atio
n method and 
formula
1.3
About the PID Operation
The Q64TCN can perform PID control in process-value incomplete derivation.
1.3.1
Operation method and formula
The PID control in process-value incomplete derivation is an operation method which puts a primary delay filter on 
input from a derivative action and eliminate high-frequency noise component in order to perform a PID operation on 
the deviation (E). 
(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 used for the Q64TCN is shown below.
Remark
The PID control in process-value derivation is an operation method which uses the process value (PV) for the derivation 
section in order to perform a PID operation. Not using deviation for the derivation section, drastic output change due to a 
derivative action is reduced when deviation varies along with the setting value change.
Q64TCN
Control object
Slow
Normal
Fast
1
Disturbance D
G(s)
K
P
    T
D
    s
1           
 
T
D
    s
Temperature 
process value (PV)
Laplace transform conversion
Derivative
Proportional gain
Integral time
Derivative time
Set value (SV)
K
P
 (1                    )
Control response
parameters
T
I
    s
K
P
T
I
T
D
s
Manipulated 
value (MV)
Sampling cycle
Incomplete derivative output
Temperature process value (PV) 
Derivative time
Derivative
MV
n
    MV
  1
T
D
 
(PV
n   1
   PV
n
) 
T
D
MV
  1
MV
PV
T
D
T
D