基于改进采样算法的七自由度骨科机器人路径规划算法
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TP241

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国家自然科学基金项目(52375207).


Path planning for seven-degree-of-freedom orthopedic robot based on improved sampling algorithm
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    摘要:

    针对七自由度机械臂在机器人辅助全膝关节置换术复杂任务中的路径规划需求, 在传统RRT*算法基础上提出一种基于启发式采样的机械臂路径规划算法. 首先, 采用双向搜索策略快速扩展出一条可行路径, 通过贪婪策略去除初始路径的冗余点简化路径, 记录简化后的路径长度形成初始的超椭球采样区域, 在超椭球采样时概率引入引力增益系数, 进一步提高算法的收敛能力; 然后, 在动态范围区域对随机树进行重选父节点以及重布线的优化步骤, 逐步优化路径长度; 最后, 再次使用贪婪策略去除路径冗余点并使用二次贝塞尔曲线使得路径平滑. 为验证所提出算法的实用性, 使用Matlab平台构建不同的实验环境, 基于TOPSIS熵权法对不同算法进行评估, 在手术截骨环境下通过ROS仿真以及实验样机对比实验, 对比不同算法在截骨环境下的综合能力, 实验结果表明所提出算法能够为多场景中的机械臂提供快速有效的路径规划方案.

    Abstract:

    Aiming at the path planning needs of a seven-degree-of-freedom robotic manipulator in robot-assisted total knee arthroplasty, this paper proposes a heuristic sampling-based robotic arm path planning algorithm based on the traditional RRT* algorithm. Firstly, a feasible path is quickly expanded using a connect search strategy, the path is simplified by removing the redundant points of the initial path through the greedy strategy, the simplified path length is recorded to form the initial informed sampling region, and the gravitational gain coefficient is introduced probabilistically in the informed sampling, which further improves the convergence ability of the algorithm. Secondly, the optimization steps of re-selecting the parent node and rewiring the random tree in the dynamic range region are performed to gradually optimize the path length. Finally, the greedy strategy is used again to remove the path redundant points, and the quadratic Bessel curve is used to smooth the path. In order to verify the practicality of the proposed algorithm, different experimental environments are constructed using the Matlab platform, different algorithms are evaluated based on the TOPSIS entropy weighting method, and the comprehensive ability of different algorithms is compared in osteotomy environments through the ROS (robot operating system) simulation and experimental prototypes comparison experiments. The results show that the proposed algorithm is able to provide fast and effective path planning for the robotic manipulator in multi-scene.

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刘晨辉,王笑逸,张亚丽,等.基于改进采样算法的七自由度骨科机器人路径规划算法[J].控制与决策,2025,40(12):3540-3550

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  • 收稿日期:2025-05-15
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  • 在线发布日期: 2025-11-10
  • 出版日期: 2025-12-10
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