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arXiv 2302.03019cs.ROcond-mat.stat-mechphysics.bio-phphysics.comp-ph
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接触几何学:基于自旋模型对偶的足式机器人接触规划

Geometry of contact: contact planning for multi-legged robots via spin models duality

Georgia Institute of Technology(佐治亚理工学院);NSF AI Institute for Artificial Intelligence and Fundamental Interactions(美国国家科学基金会人工智能与基本相互作用人工智能研究所);Massachusetts Institute of Technology(麻省理工学院);Harvard University(哈佛大学)

Baxi Chong, Di Luo, Tianyu Wang, Gabriel Margolis, Juntao He, Pulkit Agrawal, Marin Soljačić, Daniel I. Goldman

摘要:

接触规划在移动系统中至关重要。具体而言,适当的接触规划可以实现多功能行为(例如,无肢运动中的侧绕)并促进速度依赖性步态转变(例如,四足运动中的步行-小跑-疾驰)。接触规划的挑战不仅包括确定运动和环境之间进行和断开接触的顺序,而且还包括内部形状变化的顺序(例如,身体弯曲和肢体肩关节摆动)。现有的接触规划算法大多针对传统机器人(如四足机器人和步行机器人)和传统任务(如前向运动),而对多腿足式机器人的一般接触规划缺乏研究。在本文中,我们表明,使用几何力学框架,我们可以获得全局最优的接触序列给定的内部形状变化序列。因此,我们将接触规划问题简化为一个图优化问题,以识别内部形状的变化。利用运动的时空对称性,我们将图优化问题映射到自旋模型的特殊情况下,这使得我们能够在多项式时间内获得全局最优解。我们应用我们的方法来开发新的向前和侧绕行为的六足动物和12条腿的蜈蚣。我们使用数值和robophysical模型验证我们的预测,并获得新颖有效的运动行为。

英文摘要:

Contact planning is crucial in locomoting systems.Specifically, appropriate contact planning can enable versatile behaviors (e.g., sidewinding in limbless locomotors) and facilitate speed-dependent gait transitions (e.g., walk-trot-gallop in quadrupedal locomotors). The challenges of contact planning include determining not only the sequence by which contact is made and broken between the locomotor and the environments, but also the sequence of internal shape changes (e.g., body bending and limb shoulder joint oscillation). Most state-of-art contact planning algorithms focused on conventional robots (e.g.biped and quadruped) and conventional tasks (e.g. forward locomotion), and there is a lack of study on general contact planning in multi-legged robots. In this paper, we show that using geometric mechanics framework, we can obtain the global optimal contact sequence given the internal shape changes sequence. Therefore, we simplify the contact planning problem to a graph optimization problem to identify the internal shape changes. Taking advantages of the spatio-temporal symmetry in locomotion, we map the graph optimization problem to special cases of spin models, which allows us to obtain the global optima in polynomial time. We apply our approach to develop new forward and sidewinding behaviors in a hexapod and a 12-legged centipede. We verify our predictions using numerical and robophysical models, and obtain novel and effective locomotion behaviors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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