论文标题

支持谐波到达轨迹的理论证据

Theoretical Evidence Supporting Harmonic Reaching Trajectories

论文作者

Tiseo, Carlo, Charitos, Sydney Rebecca, Mistry, Michael

论文摘要

长期以来,人们一直认为,最小的混蛋轨迹是人类运动的参考轨迹,因为它们与人类运动令人印象深刻。然而,最小的混蛋轨迹并不是$ c^\ infty $(即平滑)功能的唯一选择。例如,谐波轨迹是平滑的功能,可以叠加以描述物理系统的演变。本文分析了使用谐波轨迹的电动机控制计划的可能性,将在实验上观察到由于通过中枢神经系统(CNS)和肌肉骨骼系统运输的控制信号,因此具有最小的混蛋相似性。我们使用最近开发的规划师对3链接臂模拟进行了测试,该计划的灵感来自被动运动范式。手臂执行了100个运动,以达到时钟实验定义的每个目标。我们分析了CNS中计划的轨迹的形状,并在物理模拟器中执行。我们观察到,即使在理想条件(即缺乏延迟和噪声)中,执行的轨迹也类似于最小的混蛋轨迹。因此,支持人脑可能计划谐波轨迹的论点。

Minimum Jerk trajectories have been long thought to be the reference trajectories for human movements due to their impressive similarity with human movements. Nevertheless, minimum jerk trajectories are not the only choice for $C^\infty$ (i.e., smooth) functions. For example, harmonic trajectories are smooth functions that can be superimposed to describe the evolution of physical systems. This paper analyses the possibility that motor control plans using harmonic trajectories, will be experimentally observed to have a minimum jerk likeness due to control signals being transported through the Central Nervous System (CNS) and muscle-skeletal system. We tested our theory on a 3-link arm simulation using a recently developed planner that we reformulated into a motor control architecture, inspired by the passive motion paradigm. The arm performed 100 movements, reaching for each target defined by the clock experiment. We analysed the shape of the trajectory planned in the CNS and executed in the physical simulator. We observed that even under ideal conditions (i.e., absence of delays and noise) the executed trajectories are similar to a minimum jerk trajectory; thus, supporting the thesis that the human brain might plan harmonic trajectories.

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