CAJun: Continuous Adaptive Jumping using a Learned Centroidal Controller
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Abstract (arXiv)
We present CAJun, a novel hierarchical learning and control framework that enables legged robots to jump continuously with adaptive jumping distances. CAJun consists of a high-level centroidal policy and a low-level leg controller. In particular, we use reinforcement learning (RL) to train the centroidal policy, which specifies the gait timing, base velocity, and swing foot position for the leg controller. The leg controller optimizes motor commands for the swing and stance legs according to the gait timing to track the swing foot target and base velocity commands using optimal control. Additionally, we reformulate the stance leg optimizer in the leg controller to speed up policy training by an order of magnitude. Our system combines the versatility of learning with the robustness of optimal control. By combining RL with optimal control methods, our system achieves the versatility of learning while enjoys the robustness from control methods, making it easily transferable to real robots. We show that after 20 minutes of training on a single GPU, CAJun can achieve continuous, long jumps with adaptive distances on a Go1 robot with small sim-to-real gaps. Moreover, the robot can jump across gaps with a maximum width of 70cm, which is over 40% wider than existing methods.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). First posted on arXiv 16 Jun 2023.
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Citing papers per year: 2023: 3; 2024: 8; 2025: 2; 2026: 2.
15 papers.
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- 2024OmniH2O: Universal and Dexterous Human-to-Humanoid Whole-Body Teleoperation and Learningcited by 189
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- 2023Generalized Animal Imitator: Agile Locomotion with Versatile Motion Priorcited by 19
- 2024Curriculum-Based Reinforcement Learning for Quadrupedal Jumping: A Reference-free Designcited by 18
- 2024Learning Speed Adaptation for Flight in Cluttercited by 14
- 2024Learning Multi-Agent Loco-Manipulation for Long-Horizon Quadrupedal Pushingcited by 13
- 2023Deep Model Predictive Optimizationcited by 7
- 2025Unsupervised Skill Discovery as Exploration for Learning Agile Locomotioncited by 6
- 2025QuietPaw: Learning Quadrupedal Locomotion with Versatile Noise Preference Alignmentcited by 2
- 2026HOLO-MPPI: Multi-Scenario Motion Planning via Hierarchical Policy Optimization15 Jun 2026
- 2026HybridMimic: Hybrid RL-Centroidal Control for Humanoid Motion Mimicking6 Mar 2026
- 2025Unsupervised Skill Discovery as Exploration for Learning Agile Locomotion12 Aug 2025
- 2025QuietPaw: Learning Quadrupedal Locomotion with Versatile Noise Preference Alignment6 Mar 2025
- 2024Learning Multi-Agent Loco-Manipulation for Long-Horizon Quadrupedal Pushing11 Nov 2024
- 2024Deep Reinforcement Learning for Robotics: A Survey of Real-World Successes7 Aug 2024
- 2024OmniH2O: Universal and Dexterous Human-to-Humanoid Whole-Body Teleoperation and Learning13 Jun 2024
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrains27 May 2024
- 2024Learning Quadruped Locomotion Using Differentiable Simulation21 Mar 2024
- 2024Learning Speed Adaptation for Flight in Clutter7 Mar 2024
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotion31 Jan 2024
- 2024Curriculum-Based Reinforcement Learning for Quadrupedal Jumping: A Reference-free Design29 Jan 2024
- 2024Deep Reinforcement Learning for Robotics: A Survey of Real-World Successescited by 176
- 2024Curriculum-Based Reinforcement Learning for Quadrupedal Jumping: A Reference-free Designcited by 18
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrainscited by 0
- 2026HybridMimic: Hybrid RL-Centroidal Control for Humanoid Motion Mimickingcited by 0
- 2026HybridMimic: Hybrid RL-Centroidal Control for Humanoid Motion Mimicking6 Mar 2026
- 2024Deep Reinforcement Learning for Robotics: A Survey of Real-World Successes7 Aug 2024
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrains27 May 2024
- 2024Curriculum-Based Reinforcement Learning for Quadrupedal Jumping: A Reference-free Design29 Jan 2024
- 2024OmniH2O: Universal and Dexterous Human-to-Humanoid Whole-Body Teleoperation and Learningcited by 189
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotioncited by 73
- 2023Lifelike Agility and Play in Quadrupedal Robots using Reinforcement Learning and Generative Pre-trained Modelscited by 37
- 2024Learning Quadruped Locomotion Using Differentiable Simulationcited by 32
- 2023Generalized Animal Imitator: Agile Locomotion with Versatile Motion Priorcited by 19
- 2024Learning Speed Adaptation for Flight in Cluttercited by 14
- 2024Learning Multi-Agent Loco-Manipulation for Long-Horizon Quadrupedal Pushingcited by 13
- 2023Deep Model Predictive Optimizationcited by 7
- 2025Unsupervised Skill Discovery as Exploration for Learning Agile Locomotioncited by 6
- 2025QuietPaw: Learning Quadrupedal Locomotion with Versatile Noise Preference Alignmentcited by 2
- 2026HOLO-MPPI: Multi-Scenario Motion Planning via Hierarchical Policy Optimizationcited by 0
- 2026HOLO-MPPI: Multi-Scenario Motion Planning via Hierarchical Policy Optimization15 Jun 2026
- 2025Unsupervised Skill Discovery as Exploration for Learning Agile Locomotion12 Aug 2025
- 2025QuietPaw: Learning Quadrupedal Locomotion with Versatile Noise Preference Alignment6 Mar 2025
- 2024Learning Multi-Agent Loco-Manipulation for Long-Horizon Quadrupedal Pushing11 Nov 2024
- 2024OmniH2O: Universal and Dexterous Human-to-Humanoid Whole-Body Teleoperation and Learning13 Jun 2024
- 2024Learning Quadruped Locomotion Using Differentiable Simulation21 Mar 2024
- 2024Learning Speed Adaptation for Flight in Clutter7 Mar 2024
- 2024Agile But Safe: Learning Collision-Free High-Speed Legged Locomotion31 Jan 2024
- 2023Deep Model Predictive Optimization6 Oct 2023
- 2023Generalized Animal Imitator: Agile Locomotion with Versatile Motion Prior2 Oct 2023
- 2023Lifelike Agility and Play in Quadrupedal Robots using Reinforcement Learning and Generative Pre-trained Models29 Aug 2023