Learning Torque Control for Quadrupedal Locomotion
Not on the map. Why?
Abstract (arXiv)
Reinforcement learning (RL) has become a promising approach to developing controllers for quadrupedal robots. Conventionally, an RL design for locomotion follows a position-based paradigm, wherein an RL policy outputs target joint positions at a low frequency that are then tracked by a high-frequency proportional-derivative (PD) controller to produce joint torques. In contrast, for the model-based control of quadrupedal locomotion, there has been a paradigm shift from position-based control to torque-based control. In light of the recent advances in model-based control, we explore an alternative to the position-based RL paradigm, by introducing a torque-based RL framework, where an RL policy directly predicts joint torques at a high frequency, thus circumventing the use of a PD controller. The proposed learning torque control framework is validated with extensive experiments, in which a quadruped is capable of traversing various terrain and resisting external disturbances while following user-specified commands. Furthermore, compared to learning position control, learning torque control demonstrates the potential to achieve a higher reward and is more robust to significant external disturbances. To our knowledge, this is the first sim-to-real attempt for end-to-end learning torque control of quadrupedal locomotion.
Key facts. Cited by 29 papers in the map (data through 14 Oct 2026). Builds on 48 of its 84 references that are in the map. First posted on arXiv 10 Mar 2022.
Builds on
48 of 84 references.
References · 48
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2015Continuous control with deep reinforcement learningcited by 3,407
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
- 2021Isaac Gym: High Performance GPU-Based Physics Simulation For Robot Learningcited by 998
- 2015End-to-End Training of Deep Visuomotor Policiescited by 875
- 2017Sim-to-Real Transfer of Robotic Control with Dynamics Randomizationcited by 672
- 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 604
- 2021Learning to Walk in Minutes Using Massively Parallel Deep Reinforcement Learningcited by 512
- 2021RMA: Rapid Motor Adaptation for Legged Robotscited by 508
- 2019Learning agile and dynamic motor skills for legged robotscited by 504
- 2017Robust Adversarial Reinforcement Learningcited by 451
- 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 382
36 more
- 2018Sim-to-Real: Learning Agile Locomotion For Quadruped Robotscited by 319
- 2020Learning Agile Robotic Locomotion Skills by Imitating Animalscited by 251
- 2020What Matters In On-Policy Reinforcement Learning? A Large-Scale Empirical Studycited by 162
- 2018Learning to Walk via Deep Reinforcement Learningcited by 158
- 2020Learning to Walk in the Real World with Minimal Human Effortcited by 111
- 2020Sim-to-Real Learning of All Common Bipedal Gaits via Periodic Reward Compositioncited by 96
- 2021Learning Vision-Guided Quadrupedal Locomotion End-to-End with Cross-Modal Transformerscited by 79
- 2021Minimizing Energy Consumption Leads to the Emergence of Gaits in Legged Robotscited by 76
- 2021Legged Robots that Keep on Learning: Fine-Tuning Locomotion Policies in the Real Worldcited by 71
- 2020Multi-expert learning of adaptive legged locomotioncited by 67
- 2020MNN: A Universal and Efficient Inference Enginecited by 65
- 2020Dynamics Randomization Revisited:A Case Study for Quadrupedal Locomotioncited by 59
- 2020RLOC: Terrain-Aware Legged Locomotion using Reinforcement Learning and Optimal Controlcited by 59
- 2019Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Controlcited by 54
- 2021Fast and Efficient Locomotion via Learned Gait Transitionscited by 54
- 2021Coupling Vision and Proprioception for Navigation of Legged Robotscited by 51
- 2016Learning Locomotion Skills Using DeepRL: Does the Choice of Action Space Matter?cited by 48
- 2021Learning to Jump from Pixelscited by 45
- 2019Robust Recovery Controller for a Quadrupedal Robot using Deep Reinforcement Learningcited by 32
- 2020Emergent Real-World Robotic Skills via Unsupervised Off-Policy Reinforcement Learningcited by 31
- 2022Learning Free Gait Transition for Quadruped Robots via Phase-Guided Controllercited by 29
- 2020Learning to Locomote: Understanding How Environment Design Matters for Deep Reinforcement Learningcited by 27
- 2020Robust Quadruped Jumping via Deep Reinforcement Learningcited by 27
- 2021SimGAN: Hybrid Simulator Identification for Domain Adaptation via Adversarial Reinforcement Learningcited by 27
- 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Modelcited by 25
- 2020Learning a Contact-Adaptive Controller for Robust, Efficient Legged Locomotioncited by 24
- 2021Vision-Guided Quadrupedal Locomotion in the Wild with Multi-Modal Delay Randomizationcited by 23
- 2021Robust High-speed Running for Quadruped Robots via Deep Reinforcement Learningcited by 22
- 2017Reinforcement Learning for Pivoting Taskcited by 17
- 2019A Comparison of Action Spaces for Learning Manipulation Taskscited by 17
- 2020Learning Navigation Skills for Legged Robots with Learned Robot Embeddingscited by 15
- 2021Reinforcement Learning with Evolutionary Trajectory Generator: A General Approach for Quadrupedal Locomotioncited by 14
- 2019Learning Generalizable Locomotion Skills with Hierarchical Reinforcement Learningcited by 13
- 2020Learning a Centroidal Motion Planner for Legged Locomotioncited by 4
- 2021Learning Coordinated Terrain-Adaptive Locomotion by Imitating a Centroidal Dynamics Plannercited by 4
- 2022Test and Evaluation of Quadrupedal Walking Gaits through Sim2Real Gap Quantificationcited by 2
Built on by
Citing papers per year: 2022: 2; 2023: 5; 2024: 7; 2025: 6; 2026: 9.
29 papers.
Sort:
By area:
- 2024Reinforcement Learning for Versatile, Dynamic, and Robust Bipedal Locomotion Controlcited by 99
- 2022CPG-RL: Learning Central Pattern Generators for Quadruped Locomotioncited by 34
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learningcited by 23
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotioncited by 14
- 2025FACET: Force-Adaptive Control via Impedance Reference Tracking for Legged Robotscited by 11
- 2023DecAP: Decaying Action Priors for Accelerated Imitation Learning of Torque-Based Legged Locomotion Policiescited by 7
- 2024HYPERmotion: Learning Hybrid Behavior Planning for Autonomous Loco-manipulationcited by 7
- 2024Adaptive Energy Regularization for Autonomous Gait Transition and Energy-Efficient Quadruped Locomotioncited by 5
- 2025Guided Reinforcement Learning for Omnidirectional 3D Jumping in Quadruped Robotscited by 4
- 2023End-to-End Reinforcement Learning for Torque Based Variable Height Hoppingcited by 3
- 2023Seeing-Eye Quadruped Navigation with Force Responsive Locomotion Controlcited by 3
- 2025Disturbance-Aware Adaptive Compensation in Hybrid Force-Position Locomotion Policy for Legged Robotscited by 3
17 more
- 2025AURA: Autonomous Upskilling with Retrieval-Augmented Agentscited by 2
- 2026Efficiently Learning Robust Torque-based Locomotion Through Reinforcement with Model-Based Supervisioncited by 2
- 2026Isaac Sim-to-Real: Reinforcement Learning based Locomotion for Quadrupedscited by 2
- 2023Efficient Reinforcement Learning for Jumping Monopodscited by 1
- 2023Tracking Control for a Spherical Pendulum via Curriculum Reinforcement Learningcited by 1
- 2025Variable Stiffness for Robust Locomotion through Reinforcement Learningcited by 1
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learningcited by 1
- 2026GPO: Growing Policy Optimization for Legged Robot Locomotion and Whole-Body Controlcited by 1
- 2026Benchmarking Action Spaces in Reinforcement Learning for Vision-based Robotic Manipulationcited by 1
- 2026Agile perceptive multi-skill locomotion for quadrupedal robots in the wildcited by 1
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrainscited by 0
- 2024BricksRL: A Platform for Democratizing Robotics and Reinforcement Learning Research and Education with LEGOcited by 0
- 2024Latent Action Priors for Locomotion with Deep Reinforcement Learningcited by 0
- 2026Cooperative-Competitive Team Play of Real-World Craft Robotscited by 0
- 2026Towards Batch-to-Streaming Deep Reinforcement Learning for Continuous Controlcited by 0
- 2026Neuromorphic Reinforcement Learning for Quadruped Locomotion Control on Uneven Terraincited 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
- 2026Agile perceptive multi-skill locomotion for quadrupedal robots in the wild15 Jul 2026
- 2026Benchmarking Action Spaces in Reinforcement Learning for Vision-based Robotic Manipulation17 Jun 2026
- 2026Neuromorphic Reinforcement Learning for Quadruped Locomotion Control on Uneven Terrain10 May 2026
- 2026Towards Batch-to-Streaming Deep Reinforcement Learning for Continuous Control9 Mar 2026
- 2026Cooperative-Competitive Team Play of Real-World Craft Robots24 Feb 2026
- 2026GPO: Growing Policy Optimization for Legged Robot Locomotion and Whole-Body Control28 Jan 2026
- 2026Efficiently Learning Robust Torque-based Locomotion Through Reinforcement with Model-Based Supervision22 Jan 2026
- 2025Guided Reinforcement Learning for Omnidirectional 3D Jumping in Quadruped Robots22 Jul 2025
- 2025AURA: Autonomous Upskilling with Retrieval-Augmented Agents3 Jun 2025
- 2025Disturbance-Aware Adaptive Compensation in Hybrid Force-Position Locomotion Policy for Legged Robots31 May 2025
17 more
- 2025FACET: Force-Adaptive Control via Impedance Reference Tracking for Legged Robots11 May 2025
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learning18 Feb 2025
- 2025Variable Stiffness for Robust Locomotion through Reinforcement Learning13 Feb 2025
- 2024Latent Action Priors for Locomotion with Deep Reinforcement Learning4 Oct 2024
- 2024BricksRL: A Platform for Democratizing Robotics and Reinforcement Learning Research and Education with LEGO25 Jun 2024
- 2024HYPERmotion: Learning Hybrid Behavior Planning for Autonomous Loco-manipulation20 Jun 2024
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrains27 May 2024
- 2024Adaptive Energy Regularization for Autonomous Gait Transition and Energy-Efficient Quadruped Locomotion29 Mar 2024
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learning27 Mar 2024
- 2024Reinforcement Learning for Versatile, Dynamic, and Robust Bipedal Locomotion Control30 Jan 2024
- 2023DecAP: Decaying Action Priors for Accelerated Imitation Learning of Torque-Based Legged Locomotion Policies9 Oct 2023
- 2023Tracking Control for a Spherical Pendulum via Curriculum Reinforcement Learning25 Sep 2023
- 2023Efficient Reinforcement Learning for Jumping Monopods13 Sep 2023
- 2023Seeing-Eye Quadruped Navigation with Force Responsive Locomotion Control8 Sep 2023
- 2023End-to-End Reinforcement Learning for Torque Based Variable Height Hopping31 Jul 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
- 2024Reinforcement Learning for Versatile, Dynamic, and Robust Bipedal Locomotion Controlcited by 99
- 2024CaT: Constraints as Terminations for Legged Locomotion Reinforcement Learningcited by 23
- 2025FACET: Force-Adaptive Control via Impedance Reference Tracking for Legged Robotscited by 11
- 2024Adaptive Energy Regularization for Autonomous Gait Transition and Energy-Efficient Quadruped Locomotioncited by 5
- 2025Guided Reinforcement Learning for Omnidirectional 3D Jumping in Quadruped Robotscited by 4
- 2025Disturbance-Aware Adaptive Compensation in Hybrid Force-Position Locomotion Policy for Legged Robotscited by 3
- 2026Efficiently Learning Robust Torque-based Locomotion Through Reinforcement with Model-Based Supervisioncited by 2
- 2026Isaac Sim-to-Real: Reinforcement Learning based Locomotion for Quadrupedscited by 2
- 2025Variable Stiffness for Robust Locomotion through Reinforcement Learningcited by 1
- 2026GPO: Growing Policy Optimization for Legged Robot Locomotion and Whole-Body Controlcited by 1
- 2026Benchmarking Action Spaces in Reinforcement Learning for Vision-based Robotic Manipulationcited by 1
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrainscited by 0
12 most cited of 18 All 18 (JSON)
- 2026Towards Torque-Driven Reinforcement Learning for Quadruped Locomotion20 Jul 2026
- 2026Isaac Sim-to-Real: Reinforcement Learning based Locomotion for Quadrupeds20 Jul 2026
- 2026Benchmarking Action Spaces in Reinforcement Learning for Vision-based Robotic Manipulation17 Jun 2026
- 2026Neuromorphic Reinforcement Learning for Quadruped Locomotion Control on Uneven Terrain10 May 2026
- 2026Towards Batch-to-Streaming Deep Reinforcement Learning for Continuous Control9 Mar 2026
- 2026Cooperative-Competitive Team Play of Real-World Craft Robots24 Feb 2026
- 2026GPO: Growing Policy Optimization for Legged Robot Locomotion and Whole-Body Control28 Jan 2026
- 2026Efficiently Learning Robust Torque-based Locomotion Through Reinforcement with Model-Based Supervision22 Jan 2026
- 2025Guided Reinforcement Learning for Omnidirectional 3D Jumping in Quadruped Robots22 Jul 2025
- 2025Disturbance-Aware Adaptive Compensation in Hybrid Force-Position Locomotion Policy for Legged Robots31 May 2025
- 2025FACET: Force-Adaptive Control via Impedance Reference Tracking for Legged Robots11 May 2025
- 2025Variable Stiffness for Robust Locomotion through Reinforcement Learning13 Feb 2025
12 newest of 18 All 18 (JSON)
- 2022CPG-RL: Learning Central Pattern Generators for Quadruped Locomotioncited by 34
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotioncited by 14
- 2024HYPERmotion: Learning Hybrid Behavior Planning for Autonomous Loco-manipulationcited by 7
- 2023End-to-End Reinforcement Learning for Torque Based Variable Height Hoppingcited by 3
- 2023Seeing-Eye Quadruped Navigation with Force Responsive Locomotion Controlcited by 3
- 2023Efficient Reinforcement Learning for Jumping Monopodscited by 1
- 2023Tracking Control for a Spherical Pendulum via Curriculum Reinforcement Learningcited by 1
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learningcited by 1
- 2026Agile perceptive multi-skill locomotion for quadrupedal robots in the wildcited by 1
- 2026Agile perceptive multi-skill locomotion for quadrupedal robots in the wild15 Jul 2026
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learning18 Feb 2025
- 2024HYPERmotion: Learning Hybrid Behavior Planning for Autonomous Loco-manipulation20 Jun 2024
- 2023Tracking Control for a Spherical Pendulum via Curriculum Reinforcement Learning25 Sep 2023
- 2023Efficient Reinforcement Learning for Jumping Monopods13 Sep 2023
- 2023Seeing-Eye Quadruped Navigation with Force Responsive Locomotion Control8 Sep 2023
- 2023End-to-End Reinforcement Learning for Torque Based Variable Height Hopping31 Jul 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