Data availability
All data presented in the paper are available at Zenodo (https://doi.org/10.5281/zenodo.14825866)61.
Code availability
Code for locomotion policy training and reward-ablation evaluation is available at GitHub (https://github.com/railabatkaist/raisimGym_nature).
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Funding
This work was supported by the Samsung Research Funding and Incubation Center of Samsung Electronics under Project Number SRFC-IT2002-02.
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Extended data figures and tables
Extended Data Fig. 1 Design implementations for leg mechanism and motor driver circuit.
a, Lightweight leg mechanism and actuator structure. The hip mount and calf link were mass-reduced through stress-analysis-guided material removal. Needle and crossed roller bearings are used to maintain structural rigidity with compact geometry. b, Motor driver architecture showing the integrated communication processor, power-control stage, MOSFET arrangement, and multiple current-sensing configurations (Hall and shunt).
Extended Data Fig. 2 Systematic approach to motor driver loss reduction through sequential design improvements.
a,b, Experimental setup for loss measurements: complete test bench configuration (a) and integrated motor driver-stator system (b). c-h, Comprehensive loss characterization across design parameters: current sensing method comparison (c), MOSFET conduction loss analysis at low voltage operation (20 V) (d), MOSFET switching loss analysis at high voltage operation (80 V) (e), PCB copper thickness effects (f), gate resistance modification (g), and switching frequency impact (h).
Extended Data Fig. 3 Sensitivity of total loss and cost of transport (COT) to hardware design parameters.
Total loss and COT were evaluated across locomotion speeds by applying systematic hardware perturbations in simulation, using realistic locomotion profiles obtained from the RL controller. Actuator-level loss components (motor and driver power) were grounded on experimentally measured data. An asterisk (*) marks the baseline configuration used in RAIBO2, while all other curves represent comparison conditions used for sensitivity analysis. a,b, Gear-ratio scaling; c,d, Motor models; e,f, Body-weight variations; g,h, Calf-link mass (filled vs. lightened); i,j, Current-sensing methods (Hall 1.5 mΩ, shunt values); k,l, Gate-resistor values, comparing RAIBO2 (10 Ω*) with the Infineon 6EDL04N02PR EVM (180 Ω).
Extended Data Fig. 4 Reinforcement learning framework and terrain classification for locomotion policy development.
a, Detailed system architecture showing agent networks (privileged information, proprioceptive observation, actor-critic networks) and environment elements (simulator, rewards, curriculum). b, Training environments classified into three terrain types based on maximum foot contact angle: slopes and hills (Type 1), standard stairs and steps (Type 2), and stairs with nosing and pipes (Type 3).
Extended Data Fig. 5 Experimental validation of locomotion policy for efficiency improvement.
a,b, RAIBO2 running at controlled speed on treadmill for efficiency measurements (Supplementary Video 2 and 3). c,d, Comparison of foot velocity profiles between proposed and baseline controllers, with detailed view of contact moment (d). e, Pre-contact velocity distribution histogram across different control strategies. f, Knee joint torque profiles demonstrating the effect of actuator Joule loss reward. g, Torque distribution histogram comparing policies with and without actuator Joule loss reward consideration.
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Supplementary information
Supplementary Data 1 (download XLSX )
Comparative energy and COT data across robots, animals and vehicles. Compiled data on mass, energy consumption and capacity, locomotion speed, range and COT for quadrupedal robots, wheeled robots, animals, electric vehicles, gasoline vehicles and diesel vehicles. Values are obtained or estimated from the cited literature and publicly available sources for cross-system comparison.
Supplementary Video 1 (download MP4 )
Versatile locomotion capabilities of RAIBO2 in various outdoor environments. A quadrupedal robot RAIBO2 demonstrates robust locomotion across diverse real-world scenarios. The video shows the robot maintaining stable gait patterns while running alongside human marathoners, ascending stairs, executing high-speed locomotion on flat terrain and navigating through snowy conditions, highlighting its adaptability to challenging environmental conditions.
Supplementary Video 2 (download MP4 )
Comparative analysis of collision reward impact on RAIBO2 running efficiency. Experimental comparison of RAIBO2’s running performance with and without collision reward in the control policy at controlled speed (4 m s−1) on a treadmill. Real-time waveform visualization demonstrates total loss, electric loss and mechanical loss metrics. The video clearly illustrates substantially higher mechanical losses in the control policy without collision reward, validating the effectiveness of the collision reward term.
Supplementary Video 3 (download MP4 )
Quantitative analysis of body height effects on RAIBO2 running efficiency. Systematic comparison of RAIBO2’s running performance at three different body heights (0.45 m, 0.50 m, 0.55 m) at controlled speed (4 m s−1) on a treadmill. Real-time waveform visualization shows total loss, electric loss and mechanical loss metrics. The video demonstrates the inverse relationship between body height and electric loss, with higher configurations resulting in reduced electric losses during locomotion.
Supplementary Video 4 (download MP4 )
RAIBO2 Marathon Achievement Documentation. Complete documentation of RAIBO2’s marathon performance including course overview and running highlights. The video presents key segments of the 42.195-km marathon course and showcases sustained stable locomotion throughout the event, demonstrating the robot’s endurance and reliability.
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Lee, C., Youm, D., Park, J. et al. A quadruped robot designed to complete a marathon on a single battery charge. Nature (2026). https://doi.org/10.1038/s41586-026-11102-5
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DOI: https://doi.org/10.1038/s41586-026-11102-5