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This research addresses a critical bottleneck in legged robotics by introducing a physics-grounded energy model that enables reliable sim-to-real transfer without randomizing dynamic parameters. By incorporating actuator-specific losses into the reward formulation, the method achieves significant improvements in energetic efficiency across multiple robot platforms. The work advances practical deployment of autonomous systems through rigorous validation on diverse hardware and open-source release.
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Towards bridging the gap: Systematic sim-to-real transfer for diverse legged robots

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arXiv:2509.06342v2 Announce Type: replace Abstract: Legged robots must achieve both robust locomotion and energy efficiency to be practical in real-world environments. Yet controllers trained in simulation often fail to transfer reliably, and most existing approaches neglect actuator-specific energy losses or depend on complex, hand-tuned reward formulations. We propose a framework that integrates sim-to-real reinforcement learning with a physics-grounded energy model for permanent magnet synchronous motors. The framework requires a minimal parameter set to capture the simulation-to-reality gap and employs a compact four-term reward with a first-principle-based energetic loss formulation that balances electrical and mechanical dissipation. We evaluate and validate the approach through a bottom-up dynamic parameter identification study, spanning actuators, full-robot in-air trajectories and on-ground locomotion. The framework is tested on three primary platforms and deployed on ten additional robots, demonstrating reliable policy transfer without randomization of dynamic parameters. Our method improves energetic efficiency over state-of-the-art methods, achieving a 32 percent reduction in the full Cost of Transport of ANYmal (value 1.27). All code, models, and datasets are publicly available.

Abstract:Legged robots must achieve both robust locomotion and energy efficiency to be practical in real-world environments. Yet controllers trained in simulation often fail to transfer reliably, and most existing approaches neglect actuator-specific energy losses or depend on complex, hand-tuned reward formulations. We propose a framework that integrates sim-to-real reinforcement learning with a physics-grounded energy model for permanent magnet synchronous motors. The framework requires a minimal parameter set to capture the simulation-to-reality gap and employs a compact four-term reward with a first-principle-based energetic loss formulation that balances electrical and mechanical dissipation. We evaluate and validate the approach through a bottom-up dynamic parameter identification study, spanning actuators, full-robot in-air trajectories and on-ground locomotion. The framework is tested on three primary platforms and deployed on ten additional robots, demonstrating reliable policy transfer without randomization of dynamic parameters. Our method improves energetic efficiency over state-of-the-art methods, achieving a 32 percent reduction in the full Cost of Transport of ANYmal (value 1.27). All code, models, and datasets are publicly available.

Published in The International Journal of Robotics Research (IJRR). 25 Figures, 7 Tables. Open-source software and data available

Robotics (cs.RO)

arXiv:2509.06342 [cs.RO]

(or arXiv:2509.06342v2 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2509.06342 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1177/02783649261459628 Focus to learn more DOI(s) linking to related resources

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