Closed-Form Solution for Time Optimisation of Single-Axis Multi-Point Motion

Shan Da Wang, Luo Xiao, Qing Sheng Luo, Bao Ling Han

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

This paper presents an in-depth study of the S-curve model. Under the constraints of system bandwidth, an efficient and accurate closed-form solution is proposed for the time-optimisation problem of a single actuator passing through multiple position points. In this method, the multi-point motion problem is transformed into a monotonic interval motion problem, and different motion equations are derived according to different motion conditions. Finally, the splicing and matching of acceleration between different intervals are completed through a backtracking mechanism. Since a closed-form solution formula is provided, the entire process of this method is efficient and accurate. This study not only provides a new idea and feasible solution for single-axis multi-point motion, but also contributes an important theoretical derivation to the body of research based on the S-curve model.

Original languageEnglish
Title of host publicationProceedings - 5th International Conference on Automation, Control and Robotics Engineering, CACRE 2020
EditorsFumin Zhang, Lu Liu
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages256-267
Number of pages12
ISBN (Electronic)9781728198880
DOIs
Publication statusPublished - Sept 2020
Event5th International Conference on Automation, Control and Robotics Engineering, CACRE 2020 - Dalian, China
Duration: 19 Sept 202020 Sept 2020

Publication series

NameProceedings - 5th International Conference on Automation, Control and Robotics Engineering, CACRE 2020

Conference

Conference5th International Conference on Automation, Control and Robotics Engineering, CACRE 2020
Country/TerritoryChina
CityDalian
Period19/09/2020/09/20

Keywords

  • Close form
  • Motion control
  • Multi-point
  • S-curve
  • Time Optimal

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