Method and system for planning trigonometric function expression curve with continuous jerk and chip mounter

A curve planning and jerk technology, applied in the field of control, can solve problems such as response jitter, shock vibration, and complex design process, and achieve the effects of ensuring stable time, reducing motion impact, and fewer calculation steps

Pending Publication Date: 2022-08-09
合肥安迅精密技术有限公司
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The T-curve planning calculation is simple, but the acceleration is discontinuous, which is likely to cause large shock vibrations, and it will cause obvious response jitter when performing position control; the ordinary third-order position S-curve planning jerk is discontinuous, and in precise positioning and stabilization time It is not practical for applications with high requirements. Although higher-order S-shaped curve planning can obtain a softer curve, the calculation of the entire planning is complicated.
[0003] For example, in the patent CN201580079779.3, the third-order position curve planning algorithm is adopted, and the jerk switches back and forth in the entire acceleration segment, which brings a certain impact in practical applications, resulting in poor performance of the actual stabilization time.
Patent CN201710587160.4 utilizes the characteristics of continuous trigonometric functions and continuous derivatives to design trigonometric function curve planning. Although the jerk can be guaranteed to be continuous, the design process is complicated, too many judgments need to be made, and the code implementation and operation efficiency are low. The method lack of flexibility
[0004] Therefore, the existing technology lacks a curve planning method that can reduce the vibration in place, thereby improving positioning accuracy and stabilization time, and has simple calculations.

Method used

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  • Method and system for planning trigonometric function expression curve with continuous jerk and chip mounter
  • Method and system for planning trigonometric function expression curve with continuous jerk and chip mounter
  • Method and system for planning trigonometric function expression curve with continuous jerk and chip mounter

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0134] Initialize curve planning parameters, assuming the starting location ,target location , Set the maximum speed value to , Average acceleration value According to the formula (1) initialization exercise parameters

[0135] Essence

[0136] Soften factor = 1, acceleration coefficient = 1.5, that is, the 7 -stage curve at this time is the symmetrical curve, and the maximum acceleration is 1.5 times the average acceleration. According to the formula, you can calculate the acceleration time, deceleration time, acceleration distance and deceleration distance to

[0137] Essence

[0138] because + According to the formula (3), the distance and time of running at a constant speed are

[0139] Essence

[0140] Then press = 1.5, obtained according to the formula (6)-(14)

[0141] Essence

[0142] time from Start, to For time interval, accumulate The entire curve planning process is updated in accordance with the formula (15)- (22) to update the real-time increase ...

Embodiment 2

[0145] Set the same initialization parameter as real -time example 1, assuming the starting location ,target location , Set the maximum speed value to , Average acceleration value According to public formula (1) initialization motion parameters

[0146] Essence

[0147] Soften factor = 0.75, acceleration coefficient = 1.5, that is, the 7 -stage curve at this time is asymmetric curve, the average acceleration of the deceleration section is 0.75 times the acceleration segment, and the maximum acceleration is 1.5 times the average acceleration. According to the formula, the acceleration time, deceleration time, acceleration distance and deceleration distance can be

[0148] Essence

[0149] because + According to the formula (3), the distance and time of running at a constant speed are

[0150] Essence

[0151] Then press = 1.5, obtained according to the formula (6)-(14)

[0152] Essence

[0153] time from Start, to For time interval, accumulate The entire curve ...

Embodiment 3

[0156] Set the same initialization parameters as embodiment 1 and 2, assuming the starting location ,target location , Set the maximum speed value to , Average acceleration value According to public formula (1) initialization motion parameters

[0157] Essence

[0158] Soften factor = 0.75, acceleration coefficient = 2, at this time, the curve plan can be considered as a 5 -stage curve that does not have a uniform speed. The average acceleration of the deceleration section is 0.75 times the acceleration segment, and the maximum acceleration is 2 times the average acceleration. According to the formula, you can calculate the acceleration time, deceleration time, acceleration distance and deceleration distance to

[0159] Essence

[0160] because + According to the formula (3), the distance and time of running at a constant speed are

[0161] Essence

[0162] Then press = 2, obtain according to the formula (6)-(14)

[0163] Essence

[0164] time from Start, to Fo...

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Abstract

The invention relates to the technical field of chip mounter control, and particularly discloses a trigonometric function expression curve planning method and system with continuous jerk and a chip mounter, and the method comprises the following steps: dividing curve planning into an acceleration section, a constant speed section and a deceleration section, and dividing the acceleration section and the deceleration section into a jerk section, a uniform acceleration section and a deceleration section respectively; motion parameters of curve planning are set and initialized; defining the average acceleration ratio of the deceleration section to the acceleration section as a softening factor, and defining the ratio of the maximum acceleration to the average acceleration in the deceleration section or the acceleration section as an acceleration coefficient; according to the motion parameter, the softening factor and the acceleration coefficient, calculating a curve, and planning a time node of each stage; and planning the state of each stage according to the time node updating curve. In combination with the characteristic that the second derivative of the trigonometric function is continuous, the S curve planning with continuous jerk is designed, the motion impact is effectively reduced, the in-place stabilization time is ensured, and the operation is simple.

Description

Technical field [0001] The present invention involves the field of control technology, and specifically involves a triangular function curve planning method and system and patch machine with continuous speed and continuous speed. Background technique [0002] At present, the positioning control of sports institutions in the field of mechanical processing and manufacturing is the key to ensuring production accuracy. In the application scenarios of position control, such as the positioning of the motor, the robot motion trajectory planning, etc., the point -to -point positioning of the movement of the motion institution is generally to achieve accurate positioning through the combination of position curve planning and closed -loop control. T -type and S -shaped curve planning. The T -shaped curve planning calculation is simple, but the acceleration is not continuous, which can easily cause a large impact vibration. When controlling position control, it will cause obvious response j...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/416
CPCG05B19/416G05B2219/35473Y02P90/02
Inventor 任贵平孙海星陈晓阳沈坤金长明董宁
Owner 合肥安迅精密技术有限公司
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