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arXiv 1802.03498cs.RO
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双足运动的奇异吸引子模型及其对运动控制的影响

The Strange Attractor Model of Bipedal Locomotion and its Consequences on Motor Control

School of Engineering and Informatics, University of Sussex(萨塞克斯大学工程与信息学院);Rehabilitation Research Institute of Singapore, Nanyang Technological University(新加坡南洋理工大学新加坡康复研究院);School of Informatics, University of Edinburgh(爱丁堡大学信息学院);School of Electronics Engineering, Kyungpook National University(庆北国立大学电子工程学院);Escola Politecnica da Universidade de Sao Paulo(圣保罗大学理工学院)

Carlo Tiseo, Ming Jeat Foo, Kalyana C Veluvolu, Arturo Forner-Cordero, Wei Tech Ang

AI总结:

针对现有双足运动模型无法准确捕捉质心垂直轨迹的问题,提出通过协调脚踝策略与质心运动的闭式方程模型,证明运动可建模为吸引子动力学,为康复与辅助技术提供新依据。

摘要:

尽管经过数十年的研究,关于控制人类运动的机制仍存在许多未知。现有的模型和运动控制理论只能部分捕捉这一现象。这可能是下肢康复疗法疗效降低的一个主要原因。最近,有研究提出,可以通过对吸引子动力学进行建模,利用作用在质心(CoM)上的引力,在任务空间中规划人类运动。所提出的模型将 CoM 的横向轨迹表示为在吸引子流形上传播的谐振子。然而,通过脚踝策略控制的 CoM 垂直轨迹尚未被准确捕捉。研究问题:是否可以通过引入脚踝策略的数学模型,将脚跟触地和脚尖离地策略与 CoM 运动相协调,从而提高模型精度?我们的解决方案由闭式方程组成,为 CoM、足部摆动和脚踝策略规划类人轨迹。我们通过从 12 名健康受试者在 3 种自选速度下的动作捕捉轨迹中提取运动学和姿态数据,使用我们的模型生成一个虚拟受试者来测试该模型。我们的虚拟受试者基于收集数据的平均值。模型输出显示,我们的虚拟受试者的行走轨迹特征与我们的动作捕捉数据一致。此外,数据分析表明,我们的模型像人类一样调节足部的支撑相。该模型证明运动可以被建模为吸引子动力学,证明了我们的神经系统学习的一个非线性映射的存在。它可以支持对运动运动控制的更深入调查,潜在地改善运动康复和辅助技术。

英文摘要:

Despite decades of research, the dynamic mechanisms governing human locomotion remain incompletely understood. Current motor control models only partially capture these complex dynamics, a theoretical gap that likely limits the clinical efficacy of modern lower-limb rehabilitation therapies. Recently, it has been proposed that human locomotion is planned in task-space by explicitly exploiting the gravitational pull acting on the Center of Mass (CoM). Building upon this concept, this paper presents a novel deterministic task-space planner for straight, constant-speed locomotion. Our model formulates the CoM trajectory in the transverse plane as a harmonic oscillator moving at a constant forward velocity, while demonstrating that the vertical CoM trajectory is actively regulated through localized ankle strategies. We derive closed-form equations that successfully generate human-like trajectories for both the CoM and the swing foot. The model's predictive accuracy is empirically validated against the kinematic behavior of 12 healthy subjects walking at three self-selected speeds. Furthermore, the proposed planner is mathematically compatible with an extended formulation of the Passive Motion Paradigm ($λ_0$-PMP), establishing a comprehensive theoretical foundation for decentralized, hierarchical architectures of semi-autonomous controllers in both human motor control and assistive robotics.

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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