RSR: Tendon-Driven Bipedal Robot Locomotion Learning Method Based on Real2Sim2Real

Tendon-driven bipedal robots exhibit complex time-varying dynamics due to elastic deformations, multi-joint coupling, and transmission delays. These characteristics lead to significant sim-to-real discrepancies and limit the robot’s performance in complex terrains. To address this issue, we propose a two-stage locomotion control training framework based on Real2Sim2Real (RSR). In the first stage, joint motion data collected from the real robot are used to train a torque refinement policy in simulation, implicitly modeling the time-varying dynamics of the tendon-driven system and reducing the body dynamics gap during sim-to-real transfer. In the second stage, we introduce a reinforcement learning approach that integrates explicit estimation with implicit representation. By explicitly estimating body linear velocity and local terrain information under the feet, and simultaneously learning task-relevant latent features through implicit representation, the robot’s adaptability to complex terrains is enhanced. Experimental results show that, for a forward velocity tracking task of 2.5 m/s, the proposed explicit–implicit learning method achieves a 15.9% reduction in velocity tracking error compared to the purely implicit representation baseline (IWM). When further combined with the torque refinement policy (RSR), the tracking error is further reduced by 86.4% compared to the explicit–implicit baseline (EIWM). Moreover, the proposed method enables stable locomotion across various complex terrains, demonstrating its effectiveness in improving sim-to-real transfer performance and terrain adaptability.

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Publication Details

Journal
Mathematics
Published
2026-07-02
DOI
https://doi.org/10.3390/math14132358
Primary Topic
Robotic Locomotion and Control
Type
article
Field-Weighted Citation Impact
0.00
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article

RSR: Tendon-Driven Bipedal Robot Locomotion Learning Method Based on Real2Sim2Real

Qingdu Li, Suozhong Fan, Jian Liu, Jie Xue et al.
Mathematics
Robotic Locomotion and Control
article

RSR: Tendon-Driven Bipedal Robot Locomotion Learning Method Based on Real2Sim2Real

Qingdu Li, Suozhong Fan, Jian Liu, Jie Xue, Jianwei Zhang, Jun Tang
article en

Abstract

Tendon-driven bipedal robots exhibit complex time-varying dynamics due to elastic deformations, multi-joint coupling, and transmission delays. These characteristics lead to significant sim-to-real discrepancies and limit the robot’s performance in complex terrains. To address this issue, we propose a two-stage locomotion control training framework based on Real2Sim2Real (RSR). In the first stage, joint motion data collected from the real robot are used to train a torque refinement policy in simulation, implicitly modeling the time-varying dynamics of the tendon-driven system and reducing the body dynamics gap during sim-to-real transfer. In the second stage, we introduce a reinforcement learning approach that integrates explicit estimation with implicit representation. By explicitly estimating body linear velocity and local terrain information under the feet, and simultaneously learning task-relevant latent features through implicit representation, the robot’s adaptability to complex terrains is enhanced. Experimental results show that, for a forward velocity tracking task of 2.5 m/s, the proposed explicit–implicit learning method achieves a 15.9% reduction in velocity tracking error compared to the purely implicit representation baseline (IWM). When further combined with the torque refinement policy (RSR), the tracking error is further reduced by 86.4% compared to the explicit–implicit baseline (EIWM). Moreover, the proposed method enables stable locomotion across various complex terrains, demonstrating its effectiveness in improving sim-to-real transfer performance and terrain adaptability.

MathematicsVol. 14(13)
University of Shanghai for Science and Technology (CN), Universität Hamburg (DE), Shanghai Research Center for Acupuncture and Meridians (CN)
Openalex Percentile: Top 14%
Robotic Locomotion and Control
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RSR: Tendon-Driven Bipedal Robot Locomotion Learning Method Based on Real2Sim2Real — Qingdu Li, Suozhong Fan, et al. · Mathematics (2026) | TGRS Research Map | TGRS