arXiv:2606.28805cs.RO2026-06被引 1

构建高精度物理模型,让机器人在真实比赛中对抗职业选手。

Physics Models for Sim-to-Real Transfer in Professional-Level Robot Table Tennis

论文配图:Physics Models for Sim-to-Real Transfer in Professional-Level Robot Table Tennis
图 1 · 摘自论文原文
  • 用流体动力学与接触力学建模,精准模拟球速与旋转下的复杂轨迹。
  • 在277场职业比赛数据上验证,落地位置误差降低59%。
  • 首次实现可对抗职业选手的机器人乒乓球智能体。

在高速和强旋转条件下,乒乓球的运动轨迹极为复杂且反直觉,机器人必须在毫秒级内完成追踪并精确回击。在现实世界中训练具备此类能力的强化学习策略成本极高且危险,因此高保真仿真至关重要。然而,策略的迁移性能高度依赖仿真对真实物理动态的还原程度——而竞技对抗的特性使任何建模误差都可能被对手利用。此前最先进的机器人乒乓系统仅覆盖有限速度与旋转范围,难以捕捉职业比赛中的丰富球路行为。本文提出针对空气动力学飞行、球台接触及球拍接触的物理模型:在气动方程中将阻力与马格努斯力系数建模为雷诺数与旋转比的函数;在球台接触模型中考虑球体压溃对回弹系数的影响,并引入瞬时点接触模型残差;在球拍接触模型中加入残差神经网络,补充法向与切向回弹系数及扭转自旋阻尼系数。在涵盖277场职业比赛的前所未大数据集上评估,所提模型显著降低预测误差(如中位数落点误差减少59%)。基于这些模型训练出的强化学习策略,首次实现了能与职业选手真实对抗的机器人乒乓智能体。

原文摘要 · Abstract (English)

At competitive speeds and spins, a table tennis ball follows complex, counterintuitive trajectories that a robot must track and precisely counter within fractions of a second. Training a reinforcement learning policy capable of these skills is prohibitively expensive and dangerous in the real world, making high-fidelity simulation essential. Transferability of such policies, however, critically depends on how faithfully the simulation captures real-world dynamics - a requirement made even more stringent by the adversarial nature of the game, where any modeling inaccuracy becomes an exploitable weakness for the opponent. Prior state-of-the-art in robot table tennis generally focuses on a limited range of velocities and spins and fails to capture the richness of ball behaviors encountered in professional-level play. In this work, we present physics models for aerodynamic ball flight, ball-table contact, and ball-racket contact. that accurately capture the ball behavior over a vast range of speeds and spins relevant to the game. Specifically, we model drag and Magnus force coefficients as functions of Reynolds number and spin ratio in the aerodynamics equations. For the table contact model we model effects of ball buckling on the coefficient of restitution and incorporate residuals into the instantaneous point-contact models. For the racket contact model, we introduce a residual neural network component to complement coefficients related to normal and tangential coefficients of restitution as well as torsional spin damping. Evaluated on an unprecedentedly large dataset of competitive matches (277 games), the proposed models significantly reduces prediction errors (e.g., 59% median landing-position error reduction). The resulting models were used to train the RL policies for the first real-world robot table tennis AI agent capable of competing against professional players.

机器人物理建模强化学习乒乓球

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