A Flow Matching Framework for Soft-Robot Inverse Dynamics

Fuente: arXiv
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Hauptverfasser: Yang, Hang, Yang, Fangju, Zhang, Yangming, Alsarraj, Ibrahim, Wang, Yuhao, Luo, Zhenye, Chen, Zixi, Wu, Ke
Format: Preprint
Veröffentlicht: 2026
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author Yang, Hang
Yang, Fangju
Zhang, Yangming
Alsarraj, Ibrahim
Wang, Yuhao
Luo, Zhenye
Chen, Zixi
Wu, Ke
author_facet Yang, Hang
Yang, Fangju
Zhang, Yangming
Alsarraj, Ibrahim
Wang, Yuhao
Luo, Zhenye
Chen, Zixi
Wu, Ke
contents Learning the inverse dynamics of soft continuum robots remains challenging due to high-dimensional nonlinearities and complex actuation coupling. Conventional feedback-based controllers often suffer from control chattering due to corrective oscillations, while deterministic regression-based learners struggle to capture the complex nonlinear mappings required for accurate dynamic tracking. Motivated by these limitations, we propose an inverse-dynamics framework for open-loop feedforward control that learns the system's differential dynamics as a generative transport map. Specifically, inverse dynamics is reformulated as a conditional flow-matching problem, and Rectified Flow (RF) is adopted as a lightweight instance to generate physically consistent control inputs rather than conditional averages. Two variants are introduced to further enhance physical consistency: RF-Physical, utilizing a physics-based prior for residual modeling; and RF-FWD, integrating a forward-dynamics consistency loss during flow matching. Extensive evaluations demonstrate that our framework reduces trajectory tracking RMSE by over 50% compared to standard regression baselines (MLP, LSTM, Transformer). The system sustains stable open-loop execution at a peak end-effector velocity of 1.14 m/s with sub-millisecond inference latency (0.995 ms). This work demonstrates flow matching as a robust, high-performance paradigm for learning differential inverse dynamics in soft robotic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2604_03006
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Flow Matching Framework for Soft-Robot Inverse Dynamics
Yang, Hang
Yang, Fangju
Zhang, Yangming
Alsarraj, Ibrahim
Wang, Yuhao
Luo, Zhenye
Chen, Zixi
Wu, Ke
Robotics
Learning the inverse dynamics of soft continuum robots remains challenging due to high-dimensional nonlinearities and complex actuation coupling. Conventional feedback-based controllers often suffer from control chattering due to corrective oscillations, while deterministic regression-based learners struggle to capture the complex nonlinear mappings required for accurate dynamic tracking. Motivated by these limitations, we propose an inverse-dynamics framework for open-loop feedforward control that learns the system's differential dynamics as a generative transport map. Specifically, inverse dynamics is reformulated as a conditional flow-matching problem, and Rectified Flow (RF) is adopted as a lightweight instance to generate physically consistent control inputs rather than conditional averages. Two variants are introduced to further enhance physical consistency: RF-Physical, utilizing a physics-based prior for residual modeling; and RF-FWD, integrating a forward-dynamics consistency loss during flow matching. Extensive evaluations demonstrate that our framework reduces trajectory tracking RMSE by over 50% compared to standard regression baselines (MLP, LSTM, Transformer). The system sustains stable open-loop execution at a peak end-effector velocity of 1.14 m/s with sub-millisecond inference latency (0.995 ms). This work demonstrates flow matching as a robust, high-performance paradigm for learning differential inverse dynamics in soft robotic systems.
title A Flow Matching Framework for Soft-Robot Inverse Dynamics
topic Robotics
url https://arxiv.org/abs/2604.03006