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1.3.4
Integral action (I-action)
An integral action is an action which continuously changes the manipulated value (MV) to eliminate the deviation (E) 
when there is any.
The offset caused by a proportional action can be eliminated.
In an integral action, the time from a deviation occurrence until when the manipulated value (MV) of the integral action 
becomes equals to that of the proportional action is called integral time, and is indicated as T
I
.
The following table describes the difference of actions depending on the value of T
I
, integral time.
The following figure shows an integral action of step responses where the deviation (E) is a fixed value.
An integral action is used as a PI action in combination with a proportional action, or PID action in combination with a 
proportional and derivative actions.
An integral action cannot be used by itself.
Condition
Integral action
T
I
 is a small value
The integral effect gets large, and time to eliminate the offset gets short.
Though, the temperature process value (PV) tends to fluctuate around the set value.
T
I
 is a large value
The integral effect gets small, and time to eliminate the offset gets long.
E
Manipulated value of the Proportional action
Manipulated value of the Integral action
Manipulated value of the Proportional action + Integral action
Time
Time
T
I
Deviation
(E)
Manipulated
value (MV)
K
P  
E