arXiv:2605.15510cs.RO2026-05

用量子退火思路优化机械手结构设计,兼顾手指性能与交互。

A QUBO Formulation Framework for Kinematic Structure-Based Robot Design Optimization: A Robotic Hand Case Study

论文配图:A QUBO Formulation Framework for Kinematic Structure-Based Robot Design Optimization: A Robotic Hand Case Study
图 1 · 摘自论文原文
  • 将机械手设计转为可适配量子退火的二次无约束二进制优化模型
  • 27变量问题中成功找到满足约束的可行解,读取次数越多目标值越稳定
  • 适用于其他机器人系统,为结构化设计提供通用建模框架

本文提出一种基于二次无约束二进制优化(QUBO)的机器人设计优化框架,以运动学结构级评价指标为核心。在该框架中,传统计算用于评估依赖设计的指标,而组合选择问题则被建模为适配量子退火硬件的形式。以机械手为典型案例,因其性能既取决于各手指的运动学特性,也受交互影响。所提模型统一整合了个体设计奖励、重叠工作空间交互、独热约束和结构依赖惩罚。构建了27变量的机械手设计问题,使用模拟退火作为经典基线验证可行性,并进一步进行量子退火实验,检验其在退火硬件上的适用性。结果表明,能够获得满足独热选择与成对约束的可行设计方案,且随着读取次数增加,目标值范围逐渐缩小。最后讨论了该框架在其他机器人系统中的拓展可能。该方法为将运动学结构驱动的机器人设计问题转化为组合优化问题提供了通用路径。

原文摘要 · Abstract (English)

This paper presents a quadratic unconstrained binary optimization-based formulation framework for robot design optimization using kinematic structure-level evaluation metrics. In the proposed framework, classical computation is used to evaluate design-dependent metrics while the resulting combinatorial selection problem is formulated in a structure compatible with quantum annealing-based optimization. A robotic hand is adopted as a representative case study, as its performance is determined by both the individual kinematic characteristics of each finger and interaction terms. The proposed formulation incorporates individual design rewards, overlap workspace interactions, one-hot constraint, and structural dependency penalties into a unified quadratic model. A 27-variable robotic hand design problem is constructed, and simulated annealing is used as a classical baseline to verify the feasibility of the formulation. Quantum annealing is further performed to examine the applicability of the proposed formulation to annealing-based hardware execution. The results show that feasible design combinations satisfying both one-hot selection and pairwise constraints can be obtained, with the observed objective-value range becoming narrower as the number of reads increases. In addition, the formulation process is discussed for other robotic systems. The proposed framework provides a generalized approach for transforming kinematic structure-based robot design problems into combinatorial optimization problems.

机器人设计量子优化结构优化

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