Improved Extended Kalman Filter-Based Disturbance Observers for Exoskeletons

📅 2025-10-17
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🤖 AI Summary
To address degraded tracking performance of mechanical systems—such as exoskeletons—under unknown dynamic disturbances, this paper proposes a novel disturbance observer framework that jointly optimizes estimation speed and uncertainty quantification. We theoretically reveal an inherent trade-off between estimation responsiveness and uncertainty in disturbance reconstruction, and accordingly design two observers: the Interacting Multiple Model Extended Kalman Filter (IMM-EKF) and the Multi-Kernel Correntropy Extended Kalman Filter (MKCE-EKF). The IMM-EKF achieves adaptive model-set switching to accommodate time-varying interaction forces, while the MKCE-EKF employs an information-entropy-driven covariance adaptation mechanism to enhance robustness against non-Gaussian uncertainties. Experimental validation on a lower-limb exoskeleton demonstrates significant improvements: hip joint tracking errors are reduced by 36.3% and 16.2%, and knee joint errors by 46.3% and 24.4%, respectively—both metrics outperforming conventional EKF-based methods.

Technology Category

Intelligent Robots: State EstimationComputer Vision: Motion & TrackingMachine Learning: Calibration & Uncertainty Quantification

Application Category

Responsible Web: Machine-in-the-loop, human agency and autonomyUser Modeling, Personalization and Recommendation: Attacks and countermeasures in recommendation systemsGraph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs
📝 Abstract
The nominal performance of mechanical systems is often degraded by unknown disturbances. A two-degree-of-freedom control structure can decouple nominal performance from disturbance rejection. However, perfect disturbance rejection is unattainable when the disturbance dynamic is unknown. In this work, we reveal an inherent trade-off in disturbance estimation subject to tracking speed and tracking uncertainty. Then, we propose two novel methods to enhance disturbance estimation: an interacting multiple model extended Kalman filter-based disturbance observer and a multi-kernel correntropy extended Kalman filter-based disturbance observer. Experiments on an exoskeleton verify that the proposed two methods improve the tracking accuracy $36.3%$ and $16.2%$ in hip joint error, and $46.3%$ and $24.4%$ in knee joint error, respectively, compared to the extended Kalman filter-based disturbance observer, in a time-varying interaction force scenario, demonstrating the superiority of the proposed method.
Problem

Research questions and friction points this paper is trying to address.

Addressing unknown disturbances degrading exoskeleton nominal performance
Overcoming imperfect disturbance rejection with unknown disturbance dynamics
Enhancing tracking accuracy in exoskeletons under time-varying forces
Innovation

Methods, ideas, or system contributions that make the work stand out.

Interacting multiple model extended Kalman filter observer
Multi-kernel correntropy extended Kalman filter observer
Enhanced disturbance estimation for exoskeleton tracking accuracy
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S
Shilei Li
School of Automation, Beijing Institute of Technology, Beijing 100081, China
D
Dawei Shi
School of Automation, Beijing Institute of Technology, Beijing 100081, China
M
Makoto Iwasaki
Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan
Y
Yan Ning
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong SAR
H
Hongpeng Zhou
Department of Computer Science, University of Manchester, Manchester, United Kingdom
L
Ling Shi
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong SAR