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This research advances state estimation for continuum robots by integrating Cosserat rod dynamics into factor graphs, enabling accurate modeling of inertial effects where traditional quasi-static approximations fail. By treating inertia and damping as equivalent loads, the method unifies dynamic balance with static algebraic forms to jointly refine kinematic states and infer external forces without backbone observations. The approach is validated through simulations and experiments on tendon-driven systems, offering improved precision for dynamic robotic operations.
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Bayesian Continuum Robot Dynamics and State Estimation

arXiv2 min read

arXiv:2609.20605v1 Announce Type: new Abstract: Recent factor graph approaches to continuum robot state estimation have been successful for quasi-static applications and spatiotemporal estimation using white-noise kinematic motion priors. However, when inertial effects are significant, these approximations may fail to capture the underlying physics, limiting accuracy during dynamic motions. In contrast, our approach approximates the Cosserat rod dynamics of continuum robots. We write inertia and damping as equivalent applied loads, so that the dynamic balance retains the algebraic form of the static one from prior work with quasi-static robots. Without backbone observations, the framework reduces to a stochastic forward simulation of the robot's motion. Given observations, it jointly refines kinematic and dynamic states and infers external loads, among other states. We validate the approach through simulation and experiments, demonstrating stochastic forward simulation as well as state estimation on tendon-driven continuum robots.

Abstract:Recent factor graph approaches to continuum robot state estimation have been successful for quasi-static applications and spatiotemporal estimation using white-noise kinematic motion priors. However, when inertial effects are significant, these approximations may fail to capture the underlying physics, limiting accuracy during dynamic motions. In contrast, our approach approximates the Cosserat rod dynamics of continuum robots. We write inertia and damping as equivalent applied loads, so that the dynamic balance retains the algebraic form of the static one from prior work with quasi-static robots. Without backbone observations, the framework reduces to a stochastic forward simulation of the robot's motion. Given observations, it jointly refines kinematic and dynamic states and infers external loads, among other states. We validate the approach through simulation and experiments, demonstrating stochastic forward simulation as well as state estimation on tendon-driven continuum robots.

Robotics (cs.RO)

arXiv:2609.20605 [cs.RO]

(or arXiv:2609.20605v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2609.20605 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 228 words

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