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A C2 continuous trajectory planning method for 6-DOF rotational robot manipulators

Kang Min (State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China)
Fenglei Ni (State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China)
Guojun Zhang (State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China)
Xin Shu (State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China)
Hong Liu (State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China)

Assembly Automation

ISSN: 0144-5154

Article publication date: 1 September 2022

Issue publication date: 17 October 2022

616

Abstract

Purpose

The purpose of this paper is to propose a smooth double-spline interpolation method for six-degree-of-freedom rotational robot manipulators, achieving the global C2 continuity of the robot trajectory.

Design/methodology/approach

This paper presents a smooth double-spline interpolation method, achieving the global C2 continuity of the robot trajectory. The tool center positions and quaternion orientations are first fitted by a cubic B-spline curve and a quartic-polynomial-based quaternion spline curve, respectively. Then, a parameter synchronization model is proposed to realize the synchronous and smooth movement of the robot along the double spline curves. Finally, an extra u-s function is used to record the relationship between the B-spline parameter and its arc length parameter, which may reduce the feed rate fluctuation in interpolation. The seven segments jerk-limited feed rate profile is used to generate motion commands for algorithm validation.

Findings

The simulation and experimental results demonstrate that the proposed method is effective and can generate the global C2-continuity robot trajectory.

Originality/value

The main contributions of this paper are as follows: guarantee the C2 continuity of the position path and quaternion orientation path simultaneously; provide a parameter synchronization model to realize the synchronous and smooth movement of the robot along the double spline curves; and add an extra u-s function to realize arc length parameterization of the B-spline path, which may reduce the feed rate fluctuation in interpolation.

Keywords

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 51875114) and Self-Planned Task (No. SKLRS202204B) of State Key Laboratory of Robotics and System (HIT).

Authors’ contributions: Conceptualization, Methodology, Formal analysis and investigation: [Kang, Min and Fenglei, Ni]; Writing – original draft preparation: [Kang, Min]; Writing – review and editing: [Kang Min, Fenglei, Ni, Guojun, Zhang and Xin, Shu]; Funding acquisition: [Fenglei, Ni];Resources: [Fenglei, Ni and Hong, Liu];Supervision: [Fenglei, Ni].

Citation

Min, K., Ni, F., Zhang, G., Shu, X. and Liu, H. (2022), "A C2 continuous trajectory planning method for 6-DOF rotational robot manipulators", Assembly Automation, Vol. 42 No. 5, pp. 616-627. https://doi.org/10.1108/AA-07-2021-0091

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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