Effects of Personalization on Gait-State Tracking Performance Using Extended Kalman Filters.

José A Montes-Pérez, Gray Cortright Thomas, Robert D Gregg
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Abstract

Emerging partial-assistance exoskeletons can enhance able-bodied performance and aid people with pathological gait or age-related immobility. However, every person walks differently, which makes it difficult to directly compute assistance torques from joint kinematics. Gait-state estimation-based controllers use phase (normalized stride time) and task variables (e.g., stride length and ground inclination) to parameterize the joint torques. Using kinematic models that depend on the gait-state, prior work has used an Extended Kalman filter (EKF) to estimate the gait-state online. However, this EKF suffered from kinematic errors since it used a subject-independent measurement model, and it is still unknown how personalization of this measurement model would reduce gait-state tracking error. This paper quantifies how much gait-state tracking improvement a personalized measurement model can have over a subject-independent measurement model when using an EKF-based gait-state estimator. Since the EKF performance depends on the measurement model covariance matrix, we tested on multiple different tuning parameters. Across reasonable values of tuning parameters that resulted in good performance, personalization improved estimation error on average by 8.5 ± 13.8% for phase (mean ± standard deviation), 27.2 ± 8.1% for stride length, and 10.5 ± 13.5% for ground inclination. These findings support the hypothesis that personalization of the measurement model significantly improves gait-state estimation performance in EKF based gait-state tracking (P0.05), which could ultimately enable reliable responses to faster human gait changes.

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个性化对使用扩展卡尔曼滤波器的步态跟踪性能的影响
新出现的部分辅助外骨骼可以提高健全人的表现,并帮助有病态步态或因年老而行动不便的人。然而,每个人的行走方式都不尽相同,因此很难根据关节运动学直接计算辅助力矩。基于步态估计的控制器使用相位(归一化步幅时间)和任务变量(如步幅长度和地面倾斜度)来确定关节扭矩的参数。利用依赖于步态的运动学模型,先前的工作使用了扩展卡尔曼滤波器(EKF)来在线估计步态。然而,由于这种 EKF 使用的是与受试者无关的测量模型,因此存在运动学误差,而且这种测量模型的个性化如何减少步态跟踪误差仍是未知数。本文量化了在使用基于 EKF 的步态估计器时,个性化测量模型比与受试者无关的测量模型能在多大程度上改善步态跟踪。由于 EKF 的性能取决于测量模型协方差矩阵,我们对多个不同的调整参数进行了测试。在能带来良好性能的合理调谐参数值范围内,个性化平均改善了相位(平均值±标准偏差)的估计误差 8.5 ± 13.8%、步长的估计误差 27.2 ± 8.1%、地面倾斜的估计误差 10.5 ± 13.5%。这些发现支持了这样的假设,即测量模型的个性化能显著提高基于 EKF 的步态跟踪的步态估计性能(P≪0.05),最终能对更快的人体步态变化做出可靠的响应。
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