beautypg.com

Pid action, 2 instructions, Derivative action (d) – Omron SYSMAC CP CP1E-N@@D@-@ User Manual

Page 301

background image

2-265

2 Instructions

CP1E CPU Unit Instructions Reference Manual(W483)

Data C

ont

ro

l I

n

stru

ctio

ns

2

PID

A

T

Derivative Action (D)

Proportional action and integral action both make corrections with respect to the control results, so
there is inevitably a response delay. Derivative action compensates for that drawback. In response to a
sudden disturbance it delivers a large manipulated variable and rapidly restores the original status. A
correction is executed with the manipulated variable made proportional to the incline (derivative
coefficient) caused by the deviation.

The strength of the derivative action is indicated by the derivative time, which is the time required for the
manipulated variable of the derivative action to reach the same level as the manipulated variable of the
proportional action with respect to the step deviation, as shown in the following illustration. The longer
the derivative time, the stronger the correction by the derivative action will be.

PID Action

PID action combines proportional action (P), integral action (I), and derivative action (D). It produces
superior control results even for control objects with dead time. It employs proportional action to provide
smooth control without hunting, integral action to automatically correct any offset, and derivative action
to speed up the response to disturbances.

0

0

0

0

Ramp response

Step response

PD action
P action
D action

Td: Derivative time

Manipulated
variable

Deviation

Manipulated
variable

Deviation

Derivative Action

PD Action and Derivative Time

0

0

0

0

PID action
I action
P action

D action

Step response

PID action

I action

P action
D action

Ramp response

Manipulated
variable

Manipulated
variable

Step Response of PID Control Action Output

Ramp Response of PID Control Action Output

Deviation

Deviation

This manual is related to the following products: