6 POSITIONING CONTROL

6.1.7 Acceleration/deceleration processing

Acceleration/deceleration are processed by the following two methods.

(1) Trapezoidal acceleration/deceleration processing

This is a conventional linear acceleration/deceleration processing.

The acceleration/deceleration graph resembles a trapezoid, as shown in the diagram below.

V

Positioning speed

 

 

 

 

 

t

0

 

 

 

 

 

 

Deceleration time Time

Acceleration time

(2) S-curve acceleration/deceleration processing

S-curve ratio is set as a parameter to provide gentler acceleration and deceleration than trapezoidal processing. The acceleration/deceleration graph is sinusoidal, as shown in the diagram below.

Set the S-curve ratio in the parameter block (Refer to Section 4.3.2) or using the servo program.

V

Positioning speed

 

 

 

 

 

t

0

 

 

 

Time

Acceleration time

 

 

Deceleration time

S-curve ratio set the part of the sine curve used to produce the acceleration and deceleration curve as shown in the diagram below.

 

 

 

 

A

 

 

 

V

 

 

 

 

 

 

 

 

B

 

 

 

(Example)

 

 

 

 

 

 

 

 

 

 

 

 

B/2

 

B/2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Positioning

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

speed

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

t

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

S-curve ratio 100[%]

 

 

 

 

 

 

 

 

 

 

Positioning

V

 

b

 

 

b/a = 0.7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

sine curve

 

speed

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

t

 

 

S-curve ratio = B/A

100[%]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

S-curve ratio 70[%]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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