•  
  •  
 

Corresponding Author(s)

刘敏(1992—), 男, 山西铁道职业技术学院讲师, 硕士。E-mail: ghjfop@126.com

Abstract

[Objective] Aiming at the limitations of low operating efficiency, high energy consumption, and poor stability in traditional trajectory planning of Delta robots during food sorting, this study proposes an optimized trajectory scheme to effectively reduce operation time, lower energy consumption, and improve operation stability. [Methods] On the basis of the architecture of the food sorting system, a trajectory optimization method for the Delta robot is proposed, which combines quintic uniform B-spline curves with multi-objective optimization. Firstly, the trajectory is planned using quintic uniform B-spline curves to minimize motion impact. Subsequently, a multi-objective optimization model integrating time, energy consumption and stability is constructed. This model is solved using an improved multi-objective particle swarm optimization algorithm, which incorporates adaptive weight adjustment and crowding ranking optimization, to obtain the optimal trajectory parameters. Finally, an experimental platform is constructed to verify the effectiveness of the proposed method. [Results] Compared with conventional methods, the experimental method reduces robot operation time by over 9.50%, decreases energy consumption by over 9.00%, and improves stability by over 18.00%. Meanwhile, it maintains an actual sorting accuracy above 97.50%, with an average sorting time of less than 0.80 seconds. [Conclusion] The proposed method achieves multi-objective collaborative optimization of operation time, energy consumption, and stability, effectively improving the operation performance and stability of Delta robots in food sorting scenarios.

Publication Date

4-3-2026

First Page

100

Last Page

108

DOI

10.13652/j.spjx.1003.5788.2025.60156

References

[1] VODOVOZOV V,LEHTLA M,RAUD Z,et al.Managing energy consumption of linear delta robots using neural network models [J].Energies,2024,17(16):4 081.
[2] GUO T C,LI J B,ZHANG Y Z,et al.Study on trajectory optimization for a flexible parallel robot in tomato packaging [J].Agriculture,2024,14(12):2 274.
[3] 郭德超,饶远立,张豪,等.结合机器视觉和光谱技术的番茄综合品质检测方法 [J].食品与机械,2024,40(9):123-130.GUO D C,RAO Y L,ZHANG H,et al.Comprehensive quality detection method for tomatoes combining machine vision and spectral techniques [J].Food & Machinery,2024,40(9):123-130.
[4] 李云峰,王聪,李玉琴.多算法融合的并联食品分拣机器人轨迹跟踪控制方法 [J].食品与机械,2024,40(4):72-77.LI Y F,WANG C,LI Y Q.Multi algorithm fusion based trajectory tracking control method for parallel food sorting robots [J].Food & Machinery,2024,40(4):72-77.
[5] 古莹奎,叶彪彪,郭明健,等.基于改进 RT-DETR 的饼干包装外观缺陷快速检测 [J].食品与机械,2025,41(2):234-241.GU Y K,YE B B,GUO M J,et al.Rapid detection method of biscuit packaging appearance defects based on improved RT-DETR [J].Food & Machinery,2025,41(2):234-241.
[6] 范超杰,熊涛,齐淑林,等.基于改进哈里斯鹰优化算法的喷涂 机 器 人 时 间 最 优 轨 迹 规 划 [J].机 床 与 液 压,2025,53(11):10-18.FAN C J,XIONG T,QI S L,et al.Time-optimal trajectory planning of spraying robot based on improved Harris Hawks optimization algorithm [J].Machine Tool & Hydraulics,2025,53(11):10-18.
[7] 傅明娣,李忠,王倩茹,等.基于改进 DBO 和多目标模型的食品分拣机器人分拣策略 [J].食品与机械,2025,41(3):88-93.FU M D,LI Z,WANG Q R,et al.Sorting strategy of food sorting robot based on improved DBO and multi-objective model [J].Food & Machinery,2025,41(3):88-93.
[8] 李文凯,张寒莉,储青.三自由度并联机器人的轨迹跟踪滑模控制 [J].智能计算机与应用,2024,14(8):48-53.LI W K,ZHANG H L,CHU Q.Trajectory tracking sliding mode control for a 3-DOF parallel robot [J].Intelligent Computer and Applications,2024,14(8):48-53.
[9] 郭彤颖,叶相涛,陈宇.基于改进 MOGWO 算法的并联机器人轨迹优化 [J].组合机床与自动化加工技术,2025 (6):20-25.GUO T Y,YE X T,CHEN Y.Trajectory optimization of parallel robot based on improved MOGWO algorithm [J].Modular Machine Tool & Automatic Manufacturing Technique,2025 (6):20-25.
[10] 章鸿.Delta 快速分拣机器人轨迹优化算法研究 [J].机械设计与制造,2021 (6):288-290,295.ZHANG H.Research on trajectory optimization of delta fast sorting robot algorithms [J].Machinery Design & Manufacture,2021 (6):288-290,295.
[11] 陈广东,邵健,王菲妮,等.基于改进 NURBS 和Delta 并联机器 人 的 食 品 分 拣 轨 迹 优 化 [J].食 品 与 机 械,2024,40(10):73-79.CHEN G D,SHAO J,WANG F N,et al.Food sorting trajectory optimization based on improved NURBS and Delta parallel robots [J].Food & Machinery,2024,40(10):73-79.
[12] 来海滨,汪满新,刘松涛,等.基于 345-修正梯形运动规律的4-R(R-)(SS)2并 联 机 器 人 运 动 轨 迹 规 划 [J].农 业 机 械 学 报,2024,55(4):411-420.LAI H B,WANG M X,LIU S T,et al.Trajectory planning of 4-R(R-)(SS)2 parallel robot based on 345-corrected trapezoidal motion law [J].Transactions of the Chinese Society for Agricultural Machinery,2024,55(4):411-420.
[13] WANG S L,ZHANG B K,ZHOU J,et al.Time –jerk optimal trajectory planning for industrial robots with coupled interpolation function selection [J].Journal of Field Robotics,2024,41(4):917-941.
[14] 姚学峰,李超.基于改进 NURBS 曲线插补算法的食品分拣机器人轨迹规划 [J].食品与机械,2022,38(3):80-85.YAO X F,LI C.Trajectory planning method of food sorting robot based on improved NURBS curve interpolation algorithm[J].Food & Machinery,2022,38(3):80-85.
[15] 商 德 勇,潘 崭,索 双 富,等.基 于 旋 量 理 论 的 Delta 并 联 机 器人 误 差 分 析 [J].清 华 大 学 学 报 (自 然 科 学 版),2025,65(7):1 336-1 346.SHANG D Y,PAN Z,SUO S F,et al.Error analysis of Delta robots based on screw theory [J].J Tsinghua Univ (Sci & Technol),2025,65(7):1 336-1 346.
[16] HU X,WU H,SUN Q L,et al.Robot time optimal trajectory planning based on improved simplified particle swarm optimization algorithm [J].IEEE Access,2023,11:44 496-44 508.
[17] 左国玉,李宓,郑榜贵.基于改进自适应多目标粒子群算法的 机 械 臂 最 优 轨 迹 规 划 方 法 [J].实 验 技 术 与 管 理,2024,41(3):184-191.ZUO G Y,LI M,ZHENG B G.Optimal trajectory planning for robotic arms based on an improved adaptive multiobjective particle swarm algorithm [J].Experimental Technology and Management,2024,41(3):184-191.
[18] 封燕芳,吴必瑞,赵倩.基于改进门字形轨迹的番茄生产线DELTA 分 选 机 器 人 轨 迹 规 划 [J].食 品 与 机 械,2023,39(8):71-75,154.FENG Y F,WU B R,ZHAO Q.A trajectory planning method for DELTA sorting robot in tomato production line based on improved gate shaped trajectory [J].Food & Machinery,2023,39(8):71-75,154.
[19] SHEN C,QI Y C,YUN L J,et al.DBY-Tobacco:a dual-branch model for non-tobacco related materials detection based on hyperspectral feature fusion [J].Frontiers in Plant Science,2025,16:1538051.
[20] DONG P,FENG W H,WANG R,et al.Automatic classification and detection of faulty packaging using deep learning algorithms:a study for industrial applications [J].Intelligent Methods in Engineering Sciences,2024,3(1):13-21.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.