中国机械工程 ›› 2025, Vol. 36 ›› Issue (05): 1044-1053.DOI: 10.3969/j.issn.1004-132X.2025.05.016

• 智能制造 • 上一篇    下一篇

多策略改进粒子群算法的机械臂时间最优轨迹规划

王桂荣;倪志强;周坤;王斌锐*   

  1. 中国计量大学机电工程学院,杭州,310018
  • 出版日期:2025-05-25 发布日期:2025-06-27
  • 作者简介:王桂荣,女,1975年生,副教授。研究方向为交直流电机控制控制,机器人运动控制。E-mail:lilygrwang@cjlu.edu.cn。
  • 基金资助:
    浙江省自然科学基金(LGG22F030001)

Time-optimal Trajectory Planning of Robotic Arms  Based on MIPSO Algorithm

WANG Guirong;NI Zhiqiang;ZHOU Kun;WANG Binrui*   

  1. College of Mechanical and Electrical Engineering,China Jiliang University,Hangzhou,310018

  • Online:2025-05-25 Published:2025-06-27

摘要: 针对工业机器人在满足运动学约束的前提下以时间最优为目标完成工作的问题,设计了一种时间最优轨迹规划方案。首先对机械臂进行建模分析并建立运动学方程,引入3-5-3多项式函数作为轨迹规划研究基础,并建立了运动学约束下的时间优化目标函数。然后在标准粒子群算法的基础上进行改进优化,采用tent混沌映射初始化种群,并引入动态变化学习因子、非线性递减修正惯性权重和遗传算法中的变异操作,提出了一种多策略改进粒子群优化(MIPSO)算法。最后,使用不同算法对机械臂运行时间取优,对比结果表明MIPSO算法具有更高的求解精度。将求解得到的最优时间应用到实物机械臂中,得到的关节运动曲线连续无突变,验证了所提方案的可行性。

关键词: 工业机器人, 3-5-3多项式, 时间最优, 多策略改进粒子群算法

Abstract:  For the tasks of industrial robots finishing their work in the quickest possible time while meeting kinematics limitations, a time-optimal trajectory planning scheme was designed. Firstly, the robotic arms were modeled and analyzed, the kinematics equations were established. A 3-5-3 polynomial function was introduced as the research foundation of trajectory planning, and a time-optimal objective function was constructed under kinematics restrictions. Then, based on the improvement and optimization of the standard particle swarm optimization algorithm, a MIPSO algorithm was proposed by using tent chaotic mapping to initialize the population. Additionally, dynamically varying learning factors, nonlinearly decreasing modified inertia weights, and mutation operations in genetic algorithms were introduced. Finally, various algorithms were employed to optimize the robotic arms operating time, and the comparative results reveal that the MIPSO algorithm achieves a greater level of solution accuracy. The optimal time obtained from the solution is applied to the physical robotic arms, and the joint motion curves obtained are continuous without abrupt changes, which verifies the feasibility of the proposed scheme. 

Key words:  , industrial robot, 3-5-3 polynomial function, time-optimal, multi-strategy improved particle swarm optimization(MIPSO) algorithm

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