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This research advances soft robotics by applying adiabatic spectral submanifolds (aSSMs) to create efficient, data-driven models for complex nonlinear dynamics. The proposed method significantly reduces tracking errors in position and orientation within high-fidelity simulations, addressing the computational cost barrier of traditional model predictive control. While robotics is a key application area, the core contribution lies in the mathematical framework for system identification and control optimization rather than general hardware or consumer applications.
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Orientation Control of Soft Robots via Adiabatic Spectral Submanifolds

arXiv2 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2609.14376v1 Announce Type: new Abstract: Soft robots are commonly sought for safety-critical interactions in delicate environments, where accurate position and orientation control is imperative. Model predictive control (MPC) offers a solution, but it requires a model of the robot's infinite-dimensional nonlinear dynamics that is at once accurate and computationally cheap. Recent theory on adiabatic spectral submanifolds (aSSMs) and their applications to soft robots provide data-driven model-reduction methods to construct such models. Here, we extend these methods to identify aSSMs from enlarged observable datasets and upgrade the currently available aSSM-MPC schemes. Evaluated on a high-fidelity finite-element simulation of a pressure-actuated soft arm, our controller reduces position and orientation tracking error by more than 60% compared to existing data-driven baselines.

Abstract:Soft robots are commonly sought for safety-critical interactions in delicate environments, where accurate position and orientation control is imperative. Model predictive control (MPC) offers a solution, but it requires a model of the robot's infinite-dimensional nonlinear dynamics that is at once accurate and computationally cheap. Recent theory on adiabatic spectral submanifolds (aSSMs) and their applications to soft robots provide data-driven model-reduction methods to construct such models. Here, we extend these methods to identify aSSMs from enlarged observable datasets and upgrade the currently available aSSM-MPC schemes. Evaluated on a high-fidelity finite-element simulation of a pressure-actuated soft arm, our controller reduces position and orientation tracking error by more than 60% compared to existing data-driven baselines.

Robotics (cs.RO); Systems and Control (eess.SY)

arXiv:2609.14376 [cs.RO]

(or arXiv:2609.14376v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2609.14376 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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