An optimized cosine jerk motion profile with higher efficiency and flexibility

Qixin Zhu, Yusheng Jin, Yonghong Zhu
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Abstract

Purpose

The purpose of this paper is to propose a new acceleration/deceleration (acc/dec) algorithm for motion profiles. The motion efficiency, flexibility of the motion profiles and the residual vibration of the movement are discussed in this paper.

Design/methodology/approach

A dynamics model is developed to assess the residual vibration of these two kinds of motion profile. And a Simulink model is created to assess the motion efficiency and flexibility of the motion profiles with the proposed acc/dec algorithm.

Findings

Considering the flexibility of trigonometric motion profiles and the higher motion efficiency of S-curve motion profiles, the authors add the polynomial parts into the jerk profile of the cosine function acc/dec algorithm to hold the jerk when it reaches the maximum so that the motion efficiency can increase and decrease residual vibration at the same time. And the cyclical parameter k shows the decisive factor for the flexibility of trigonometric motion profiles.

Originality/value

Comparing with the traditional motion profiles, the proposed motion profiles have higher motion efficiency and excite less residual vibration. The acc/dec algorithm proposed in this paper is useful for the present motion control and servo system.

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一个优化的余弦抖动运动轮廓具有更高的效率和灵活性
目的提出一种新的运动轮廓加减速(acc/dec)算法。本文讨论了运动效率、运动轮廓的柔性和运动的残余振动。设计/方法/方法建立了一个动力学模型来评估这两种运动剖面的残余振动。并建立了Simulink模型,对所提出的acc/dec算法的运动效率和灵活性进行了评估。结果考虑到三角运动轮廓的灵活性和s曲线运动轮廓较高的运动效率,作者在余弦函数acc/dec算法的激振轮廓中加入多项式部分,在激振达到最大值时保持激振,从而在提高运动效率的同时减少残余振动。周期参数k是三角运动曲线灵活性的决定性因素。与传统的运动轮廓相比,所提出的运动轮廓具有更高的运动效率和较少的残余振动。本文提出的acc/dec算法适用于当前的运动控制和伺服系统。
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