通过动态对称性设计,实现机器人全向运动与多功能适应。
Extreme dynamic symmetry enables omnidirectional and multifunctional robots

- 以质心加速度均匀性定义动态对称性,提升运动性能。
- 近极限动态各向同性下,机器人实现自稳定与抗故障能力。
- 适用于复杂地形与太空探索的高鲁棒性机器人设计。
对称性是自然系统的核心组织原则,但在机器人设计中仍多局限于几何形态。本文提出动态对称性——即机器人可实现的质心加速度均匀性,并引入动态各向同性度量。在1000余种模拟形态中,更高的动态对称性显著提升轨迹跟踪、任务成功率、鲁棒性、韧性与能效,尤其在接近理论极限时效果最显著。为此,我们开发了Argus系列球形机器人,其采用径向线性执行器结构,通过改变驱动几何布局实现不同动态对称等级。其中20足物理原型达到近极端动态各向同性,展现出无方向依赖的运动能力、在杂乱可变形地形中的敏捷通行、快速自稳定及部分执行器失效下的韧性。分布式传感还支持连续运动中的全向感知与物体交互。结果表明,将对称性从形态扩展至动态能力,为不确定环境下的敏捷性、鲁棒性与多功能性提供通用路径。
原文摘要 · Abstract (English)
Symmetry is a central organizing principle in natural systems, yet its use as a unifying design strategy in robotics has largely remained limited to geometric form. We show that symmetry can instead be leveraged at the level of dynamic actuation capability. We introduce dynamic symmetry, the uniformity of a robot's attainable center-of-mass accelerations, and formalize it through a measure coined as dynamic isotropy. Across more than 1000 simulated morphologies, we found that higher dynamic symmetry consistently improved trajectory tracking, task success, robustness, resiliency, and energy efficiency, with the benefits becoming most pronounced as dynamic isotropy approached its theoretical limit. To study this regime systematically, we developed Argus, a family of spherical robots designed to explore the effects of increasing dynamic symmetry. Members of the Argus family vary in their actuation geometry and dynamic symmetry level while sharing a common architectural principle: radially oriented linear actuators that directly shape the robot's center-of-mass dynamics. Among them, we built a physical 20-leg Argus variant that achieved near-extreme dynamic isotropy and demonstrated orientation-invariant locomotion, agile traversal of cluttered and deformable terrain, rapid self-stabilization, and resilience to partial actuator failures. Its distributed sensing further enabled omnidirectional perception and object interaction during continuous motion. These results show that designing robots for symmetry not only in morphology but also in their attainable dynamics provides a powerful and general pathway toward agility, robustness, and multifunctionality in uncertain terrestrial and extraterrestrial environments.
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