Robust High-speed Running for Quadruped Robots via Deep Reinforcement Learning
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Abstract (arXiv)
Deep reinforcement learning has emerged as a popular and powerful way to develop locomotion controllers for quadruped robots. Common approaches have largely focused on learning actions directly in joint space, or learning to modify and offset foot positions produced by trajectory generators. Both approaches typically require careful reward shaping and training for millions of time steps, and with trajectory generators introduce human bias into the resulting control policies. In this paper, we present a learning framework that leads to the natural emergence of fast and robust bounding policies for quadruped robots. The agent both selects and controls actions directly in task space to track desired velocity commands subject to environmental noise including model uncertainty and rough terrain. We observe that this framework improves sample efficiency, necessitates little reward shaping, leads to the emergence of natural gaits such as galloping and bounding, and eases the sim-to-real transfer at running speeds. Policies can be learned in only a few million time steps, even for challenging tasks of running over rough terrain with loads of over 100% of the nominal quadruped mass. Training occurs in PyBullet, and we perform a sim-to-sim transfer to Gazebo and sim-to-real transfer to the Unitree A1 hardware. For sim-to-sim, our results show the quadruped is able to run at over 4 m/s without a load, and 3.5 m/s with a 10 kg load, which is over 83% of the nominal quadruped mass. For sim-to-real, the Unitree A1 is able to bound at 2 m/s with a 5 kg load, representing 42% of the nominal quadruped mass.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 28 of its 50 references that are in the map. First posted on arXiv 11 Mar 2021.
Builds on
28 of 50 references.
References · 28
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
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- 2017Domain Randomization for Transferring Deep Neural Networks from Simulation to the Real Worldcited by 1,401
- 2017Sim-to-Real Transfer of Robotic Control with Dynamics Randomizationcited by 616
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- 2019Learning agile and dynamic motor skills for legged robotscited by 402
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- 2020Learning Agile Robotic Locomotion Skills by Imitating Animalscited by 229
- 2017Control of a Quadrotor with Reinforcement Learningcited by 75
16 more
- 2017Time Limits in Reinforcement Learningcited by 72
- 2020Sim-to-Real Learning of All Common Bipedal Gaits via Periodic Reward Compositioncited by 71
- 2019Variable Impedance Control in End-Effector Space: An Action Space for Reinforcement Learning in Contact-Rich Taskscited by 56
- 2020Dynamics Randomization Revisited:A Case Study for Quadrupedal Locomotioncited by 54
- 2019Policies Modulating Trajectory Generatorscited by 47
- 2016Learning Locomotion Skills Using DeepRL: Does the Choice of Action Space Matter?cited by 44
- 2019Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Controlcited by 43
- 2019Sim-to-(Multi)-Real: Transfer of Low-Level Robust Control Policies to Multiple Quadrotorscited by 36
- 2019Reinforcement Learning on Variable Impedance Controller for High-Precision Robotic Assemblycited by 33
- 2020Learning Memory-Based Control for Human-Scale Bipedal Locomotioncited by 20
- 2020Robust Quadruped Jumping via Deep Reinforcement Learningcited by 18
- 2020Policy Transfer via Kinematic Domain Randomization and Adaptationcited by 16
- 2020Learning Task Space Actions for Bipedal Locomotioncited by 15
- 2019Training in Task Space to Speed Up and Guide Reinforcement Learningcited by 6
- 2020Adaptive Force-based Control for Legged Robotscited by 6
- 2020Dynamics and Domain Randomized Gait Modulation with Bezier Curves for Sim-to-Real Legged Locomotioncited by 3
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Citing papers per year: 2022: 3; 2023: 4; 2024: 6; 2025: 4; 2026: 3.
20 papers.
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- 2024Aligning Cyber Space with Physical World: A Comprehensive Survey on Embodied AIcited by 175
- 2023Robust and Versatile Bipedal Jumping Control through Reinforcement Learningcited by 27
- 2022CPG-RL: Learning Central Pattern Generators for Quadruped Locomotioncited by 24
- 2022Learning Torque Control for Quadrupedal Locomotioncited by 22
- 2023ManyQuadrupeds: Learning a Single Locomotion Policy for Diverse Quadruped Robotscited by 15
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotioncited by 11
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learningcited by 11
- 2024SoloParkour: Constrained Reinforcement Learning for Visual Locomotion from Privileged Experiencecited by 10
- 2024Rethinking Robustness Assessment: Adversarial Attacks on Learning-based Quadrupedal Locomotion Controllerscited by 9
- 2025Gait in Eight: Efficient On-Robot Learning for Omnidirectional Quadruped Locomotioncited by 7
- 2023Puppeteer and Marionette: Learning Anticipatory Quadrupedal Locomotion Based on Interactions of a Central Pattern Generator and Supraspinal Drivecited by 5
- 2024Dexterous Legged Locomotion in Confined 3D Spaces with Reinforcement Learningcited by 4
8 more
- 2026ZEST: Zero-shot Embodied Skill Transfer for Athletic Robot Controlcited by 4
- 2023DeepTransition: Viability Leads to the Emergence of Gait Transitions in Learning Anticipatory Quadrupedal Locomotion Skillscited by 2
- 2026Isaac Sim-to-Real: Reinforcement Learning based Locomotion for Quadrupedscited by 1
- 2024Reinforcement Learning from Wild Animal Videoscited by 0
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learningcited by 0
- 2025Coordinating Spinal and Limb Dynamics for Enhanced Sprawling Robot Mobilitycited by 0
- 2025RANDPOL: Parameter-Efficient End-to-End Quadruped Locomotion via Randomized Policy Learningcited by 0
- 2026Towards Torque-Driven Reinforcement Learning for Quadruped Locomotioncited by 0
- 2026Towards Torque-Driven Reinforcement Learning for Quadruped Locomotion20 Jul 2026
- 2026Isaac Sim-to-Real: Reinforcement Learning based Locomotion for Quadrupeds20 Jul 2026
- 2026ZEST: Zero-shot Embodied Skill Transfer for Athletic Robot Control30 Jan 2026
- 2025RANDPOL: Parameter-Efficient End-to-End Quadruped Locomotion via Randomized Policy Learning25 May 2025
- 2025Coordinating Spinal and Limb Dynamics for Enhanced Sprawling Robot Mobility18 Apr 2025
- 2025Gait in Eight: Efficient On-Robot Learning for Omnidirectional Quadruped Locomotion11 Mar 2025
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learning18 Feb 2025
- 2024Reinforcement Learning from Wild Animal Videos5 Dec 2024
- 2024SoloParkour: Constrained Reinforcement Learning for Visual Locomotion from Privileged Experience20 Sep 2024
- 2024Aligning Cyber Space with Physical World: A Comprehensive Survey on Embodied AI9 Jul 2024
- 2024Rethinking Robustness Assessment: Adversarial Attacks on Learning-based Quadrupedal Locomotion Controllers21 May 2024
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learning27 Mar 2024
8 more
- 2024Dexterous Legged Locomotion in Confined 3D Spaces with Reinforcement Learning6 Mar 2024
- 2023ManyQuadrupeds: Learning a Single Locomotion Policy for Diverse Quadruped Robots16 Oct 2023
- 2023DeepTransition: Viability Leads to the Emergence of Gait Transitions in Learning Anticipatory Quadrupedal Locomotion Skills12 Jun 2023
- 2023Puppeteer and Marionette: Learning Anticipatory Quadrupedal Locomotion Based on Interactions of a Central Pattern Generator and Supraspinal Drive26 Feb 2023
- 2023Robust and Versatile Bipedal Jumping Control through Reinforcement Learning19 Feb 2023
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotion29 Dec 2022
- 2022CPG-RL: Learning Central Pattern Generators for Quadruped Locomotion1 Nov 2022
- 2022Learning Torque Control for Quadrupedal Locomotion10 Mar 2022
- 2024Aligning Cyber Space with Physical World: A Comprehensive Survey on Embodied AIcited by 175
- 2023Robust and Versatile Bipedal Jumping Control through Reinforcement Learningcited by 27
- 2022CPG-RL: Learning Central Pattern Generators for Quadruped Locomotioncited by 24
- 2022Learning Torque Control for Quadrupedal Locomotioncited by 22
- 2023ManyQuadrupeds: Learning a Single Locomotion Policy for Diverse Quadruped Robotscited by 15
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotioncited by 11
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learningcited by 11
- 2024SoloParkour: Constrained Reinforcement Learning for Visual Locomotion from Privileged Experiencecited by 10
- 2024Rethinking Robustness Assessment: Adversarial Attacks on Learning-based Quadrupedal Locomotion Controllerscited by 9
- 2025Gait in Eight: Efficient On-Robot Learning for Omnidirectional Quadruped Locomotioncited by 7
- 2023Puppeteer and Marionette: Learning Anticipatory Quadrupedal Locomotion Based on Interactions of a Central Pattern Generator and Supraspinal Drivecited by 5
- 2024Dexterous Legged Locomotion in Confined 3D Spaces with Reinforcement Learningcited by 4
12 most cited of 20 All 20 (JSON)
- 2026Towards Torque-Driven Reinforcement Learning for Quadruped Locomotion20 Jul 2026
- 2026Isaac Sim-to-Real: Reinforcement Learning based Locomotion for Quadrupeds20 Jul 2026
- 2026ZEST: Zero-shot Embodied Skill Transfer for Athletic Robot Control30 Jan 2026
- 2025RANDPOL: Parameter-Efficient End-to-End Quadruped Locomotion via Randomized Policy Learning25 May 2025
- 2025Coordinating Spinal and Limb Dynamics for Enhanced Sprawling Robot Mobility18 Apr 2025
- 2025Gait in Eight: Efficient On-Robot Learning for Omnidirectional Quadruped Locomotion11 Mar 2025
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learning18 Feb 2025
- 2024Reinforcement Learning from Wild Animal Videos5 Dec 2024
- 2024SoloParkour: Constrained Reinforcement Learning for Visual Locomotion from Privileged Experience20 Sep 2024
- 2024Aligning Cyber Space with Physical World: A Comprehensive Survey on Embodied AI9 Jul 2024
- 2024Rethinking Robustness Assessment: Adversarial Attacks on Learning-based Quadrupedal Locomotion Controllers21 May 2024
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learning27 Mar 2024
12 newest of 20 All 20 (JSON)