RLOC: Terrain-Aware Legged Locomotion using Reinforcement Learning and Optimal Control
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Abstract (arXiv)
We present a unified model-based and data-driven approach for quadrupedal planning and control to achieve dynamic locomotion over uneven terrain. We utilize on-board proprioceptive and exteroceptive feedback to map sensory information and desired base velocity commands into footstep plans using a reinforcement learning (RL) policy. This RL policy is trained in simulation over a wide range of procedurally generated terrains. When ran online, the system tracks the generated footstep plans using a model-based motion controller. We evaluate the robustness of our method over a wide variety of complex terrains. It exhibits behaviors which prioritize stability over aggressive locomotion. Additionally, we introduce two ancillary RL policies for corrective whole-body motion tracking and recovery control. These policies account for changes in physical parameters and external perturbations. We train and evaluate our framework on a complex quadrupedal system, ANYmal version B, and demonstrate transferability to a larger and heavier robot, ANYmal C, without requiring retraining.
Key facts. Cited by 46 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Dec 2020.
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Citing papers per year: 2021: 7; 2022: 16; 2023: 3; 2024: 9; 2025: 9; 2026: 2.
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- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotioncited by 53
- 2022Holo-Dex: Teaching Dexterity with Immersive Mixed Realitycited by 52
- 2021Learning to Jump from Pixelscited by 39
- 2023DTC: Deep Tracking Controlcited by 37
- 2022GenLoco: Generalized Locomotion Controllers for Quadrupedal Robotscited by 36
- 2024Learning Robust Autonomous Navigation and Locomotion for Wheeled-Legged Robotscited by 32
- 2025BeamDojo: Learning Agile Humanoid Locomotion on Sparse Footholdscited by 32
- 2022Imitate and Repurpose: Learning Reusable Robot Movement Skills From Human and Animal Behaviorscited by 27
- 2021VILENS: Visual, Inertial, Lidar, and Leg Odometry for All-Terrain Legged Robotscited by 25
- 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Modelcited by 23
- 2022Learning Free Gait Transition for Quadruped Robots via Phase-Guided Controllercited by 23
- 2022Learning Torque Control for Quadrupedal Locomotioncited by 22
34 more
- 2021Model-free Reinforcement Learning for Robust Locomotion using Demonstrations from Trajectory Optimizationcited by 16
- 2022Learning and Deploying Robust Locomotion Policies with Minimal Dynamics Randomizationcited by 15
- 2023RL + Model-based Control: Using On-demand Optimal Control to Learn Versatile Legged Locomotioncited by 14
- 2024Learning to Walk from Three Minutes of Real-World Data with Semi-structured Dynamics Modelscited by 14
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotioncited by 11
- 2022PI-ARS: Accelerating Evolution-Learned Visual-Locomotion with Predictive Information Representationscited by 10
- 2024Learning Multi-Agent Loco-Manipulation for Long-Horizon Quadrupedal Pushingcited by 9
- 2022Neural Scene Representation for Locomotion on Structured Terraincited by 8
- 2024One Filter to Deploy Them All: Robust Safety for Quadrupedal Navigation in Unknown Environmentscited by 8
- 2022Learning to Brachiate via Simplified Model Imitationcited by 7
- 2022Learning to Walk by Steering: Perceptive Quadrupedal Locomotion in Dynamic Environmentscited by 7
- 2022Learning Low-Frequency Motion Control for Robust and Dynamic Robot Locomotioncited by 7
- 2024Gaitor: Learning a Unified Representation Across Gaits for Real-World Quadruped Locomotioncited by 6
- 2022Learning Semantics-Aware Locomotion Skills from Human Demonstrationcited by 5
- 2021Learning Coordinated Terrain-Adaptive Locomotion by Imitating a Centroidal Dynamics Plannercited by 4
- 2024QuadrupedGPT: Towards a Versatile Quadruped Agent in Open-ended Worldscited by 4
- 2022Generating a Terrain-Robustness Benchmark for Legged Locomotion: A Prototype via Terrain Authoring and Active Learningcited by 3
- 2024Offline Adaptation of Quadruped Locomotion using Diffusion Modelscited by 3
- 2021Reinforcement Learning With Sparse-Executing Actions via Sparsity Regularizationcited by 2
- 2021Next Steps: Learning a Disentangled Gait Representation for Versatile Quadruped Locomotioncited by 2
- 2022VAE-Loco: Versatile Quadruped Locomotion by Learning a Disentangled Gait Representationcited by 2
- 2025Vision-Language-Policy Model for Dynamic Robot Task Planningcited by 2
- 2022A Transferable Legged Mobile Manipulation Framework Based on Disturbance Predictive Controlcited by 1
- 2023Roll-Drop: accounting for observation noise with a single parametercited by 1
- 2024Agile and versatile bipedal robot tracking control through reinforcement learningcited by 0
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learningcited by 0
- 2025PALo: Learning Posture-Aware Locomotion for Quadruped Robotscited by 0
- 2025GenTe: Generative Real-world Terrains for General Legged Robot Locomotion Controlcited by 0
- 2025MULE: Multi-terrain and Unknown Load Adaptation for Effective Quadrupedal Locomotioncited by 0
- 2025Shared Control of Holonomic Wheelchairs through Reinforcement Learningcited by 0
- 2025LinguaFluid: Language Guided Fluid Control via Semantic Rewards in Reinforcement Learningcited by 0
- 2025PGTT: Phase-Guided Terrain Traversal for Perceptive Legged Locomotioncited by 0
- 2026Co-jump: Cooperative Jumping with Quadrupedal Robots via Multi-Agent Reinforcement Learningcited by 0
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Trackingcited by 0
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Tracking6 Jun 2026
- 2026Co-jump: Cooperative Jumping with Quadrupedal Robots via Multi-Agent Reinforcement Learning11 Feb 2026
- 2025Vision-Language-Policy Model for Dynamic Robot Task Planning22 Dec 2025
- 2025PGTT: Phase-Guided Terrain Traversal for Perceptive Legged Locomotion21 Oct 2025
- 2025LinguaFluid: Language Guided Fluid Control via Semantic Rewards in Reinforcement Learning8 Aug 2025
- 2025Shared Control of Holonomic Wheelchairs through Reinforcement Learning22 Jul 2025
- 2025MULE: Multi-terrain and Unknown Load Adaptation for Effective Quadrupedal Locomotion1 May 2025
- 2025GenTe: Generative Real-world Terrains for General Legged Robot Locomotion Control14 Apr 2025
- 2025PALo: Learning Posture-Aware Locomotion for Quadruped Robots6 Mar 2025
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learning18 Feb 2025
- 2025BeamDojo: Learning Agile Humanoid Locomotion on Sparse Footholds14 Feb 2025
- 2024One Filter to Deploy Them All: Robust Safety for Quadrupedal Navigation in Unknown Environments13 Dec 2024
34 more
- 2024Offline Adaptation of Quadruped Locomotion using Diffusion Models13 Nov 2024
- 2024Learning Multi-Agent Loco-Manipulation for Long-Horizon Quadrupedal Pushing11 Nov 2024
- 2024Learning to Walk from Three Minutes of Real-World Data with Semi-structured Dynamics Models11 Oct 2024
- 2024QuadrupedGPT: Towards a Versatile Quadruped Agent in Open-ended Worlds24 Jun 2024
- 2024Gaitor: Learning a Unified Representation Across Gaits for Real-World Quadruped Locomotion29 May 2024
- 2024Learning Robust Autonomous Navigation and Locomotion for Wheeled-Legged Robots3 May 2024
- 2024Agile and versatile bipedal robot tracking control through reinforcement learning12 Apr 2024
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotion31 Jan 2024
- 2023DTC: Deep Tracking Control27 Sep 2023
- 2023RL + Model-based Control: Using On-demand Optimal Control to Learn Versatile Legged Locomotion29 May 2023
- 2023Roll-Drop: accounting for observation noise with a single parameter25 Apr 2023
- 2022Visual CPG-RL: Learning Central Pattern Generators for Visually-Guided Quadruped Locomotion29 Dec 2022
- 2022Holo-Dex: Teaching Dexterity with Immersive Mixed Reality12 Oct 2022
- 2022Learning Low-Frequency Motion Control for Robust and Dynamic Robot Locomotion29 Sep 2022
- 2022Learning and Deploying Robust Locomotion Policies with Minimal Dynamics Randomization26 Sep 2022
- 2022Learning to Walk by Steering: Perceptive Quadrupedal Locomotion in Dynamic Environments19 Sep 2022
- 2022GenLoco: Generalized Locomotion Controllers for Quadrupedal Robots12 Sep 2022
- 2022Generating a Terrain-Robustness Benchmark for Legged Locomotion: A Prototype via Terrain Authoring and Active Learning16 Aug 2022
- 2022PI-ARS: Accelerating Evolution-Learned Visual-Locomotion with Predictive Information Representations27 Jul 2022
- 2022Learning Semantics-Aware Locomotion Skills from Human Demonstration27 Jun 2022
- 2022Neural Scene Representation for Locomotion on Structured Terrain16 Jun 2022
- 2022Learning to Brachiate via Simplified Model Imitation8 May 2022
- 2022VAE-Loco: Versatile Quadruped Locomotion by Learning a Disentangled Gait Representation2 May 2022
- 2022Imitate and Repurpose: Learning Reusable Robot Movement Skills From Human and Animal Behaviors31 Mar 2022
- 2022Learning Torque Control for Quadrupedal Locomotion10 Mar 2022
- 2022A Transferable Legged Mobile Manipulation Framework Based on Disturbance Predictive Control2 Mar 2022
- 2022Learning Free Gait Transition for Quadruped Robots via Phase-Guided Controller1 Jan 2022
- 2021Next Steps: Learning a Disentangled Gait Representation for Versatile Quadruped Locomotion9 Dec 2021
- 2021Learning Coordinated Terrain-Adaptive Locomotion by Imitating a Centroidal Dynamics Planner30 Oct 2021
- 2021Learning to Jump from Pixels28 Oct 2021
- 2021VILENS: Visual, Inertial, Lidar, and Leg Odometry for All-Terrain Legged Robots15 Jul 2021
- 2021Model-free Reinforcement Learning for Robust Locomotion using Demonstrations from Trajectory Optimization14 Jul 2021
- 2021Reinforcement Learning With Sparse-Executing Actions via Sparsity Regularization18 May 2021
- 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Model20 Apr 2021
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotioncited by 53
- 2022Holo-Dex: Teaching Dexterity with Immersive Mixed Realitycited by 52
- 2021Learning to Jump from Pixelscited by 39
- 2023DTC: Deep Tracking Controlcited by 37
- 2022GenLoco: Generalized Locomotion Controllers for Quadrupedal Robotscited by 36
- 2024Learning Robust Autonomous Navigation and Locomotion for Wheeled-Legged Robotscited by 32
- 2025BeamDojo: Learning Agile Humanoid Locomotion on Sparse Footholdscited by 32
- 2022Imitate and Repurpose: Learning Reusable Robot Movement Skills From Human and Animal Behaviorscited by 27
- 2021VILENS: Visual, Inertial, Lidar, and Leg Odometry for All-Terrain Legged Robotscited by 25
- 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Modelcited by 23
- 2022Learning Free Gait Transition for Quadruped Robots via Phase-Guided Controllercited by 23
- 2022Learning Torque Control for Quadrupedal Locomotioncited by 22
12 most cited of 45 All 45 (JSON)
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Tracking6 Jun 2026
- 2026Co-jump: Cooperative Jumping with Quadrupedal Robots via Multi-Agent Reinforcement Learning11 Feb 2026
- 2025Vision-Language-Policy Model for Dynamic Robot Task Planning22 Dec 2025
- 2025PGTT: Phase-Guided Terrain Traversal for Perceptive Legged Locomotion21 Oct 2025
- 2025LinguaFluid: Language Guided Fluid Control via Semantic Rewards in Reinforcement Learning8 Aug 2025
- 2025Shared Control of Holonomic Wheelchairs through Reinforcement Learning22 Jul 2025
- 2025MULE: Multi-terrain and Unknown Load Adaptation for Effective Quadrupedal Locomotion1 May 2025
- 2025GenTe: Generative Real-world Terrains for General Legged Robot Locomotion Control14 Apr 2025
- 2025PALo: Learning Posture-Aware Locomotion for Quadruped Robots6 Mar 2025
- 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learning18 Feb 2025
- 2025BeamDojo: Learning Agile Humanoid Locomotion on Sparse Footholds14 Feb 2025
- 2024One Filter to Deploy Them All: Robust Safety for Quadrupedal Navigation in Unknown Environments13 Dec 2024
12 newest of 45 All 45 (JSON)