mlsanityData to 7 Oct 2026

RL + Model-based Control: Using On-demand Optimal Control to Learn Versatile Legged Locomotion

arXiv 2305.17842 ↗First posted 29 May 2023cs.RO cs.AI cs.SYcited by 14

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Abstract (arXiv)

This paper presents a control framework that combines model-based optimal control and reinforcement learning (RL) to achieve versatile and robust legged locomotion. Our approach enhances the RL training process by incorporating on-demand reference motions generated through finite-horizon optimal control, covering a broad range of velocities and gaits. These reference motions serve as targets for the RL policy to imitate, leading to the development of robust control policies that can be learned with reliability. Furthermore, by utilizing realistic simulation data that captures whole-body dynamics, RL effectively overcomes the inherent limitations in reference motions imposed by modeling simplifications. We validate the robustness and controllability of the RL training process within our framework through a series of experiments. In these experiments, our method showcases its capability to generalize reference motions and effectively handle more complex locomotion tasks that may pose challenges for the simplified model, thanks to RL's flexibility. Additionally, our framework effortlessly supports the training of control policies for robots with diverse dimensions, eliminating the necessity for robot-specific adjustments in the reward function and hyperparameters.

Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). Builds on 25 of its 42 references that are in the map. First posted on arXiv 29 May 2023.

Builds on

25 of 42 references.

References · 25

  1. 2017Proximal Policy Optimization Algorithmscited by 14,441
  2. 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 494
  3. 2021RMA: Rapid Motor Adaptation for Legged Robotscited by 430
  4. 2019Learning agile and dynamic motor skills for legged robotscited by 402
  5. 2021Learning to Walk in Minutes Using Massively Parallel Deep Reinforcement Learningcited by 395
  6. 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 299
  7. 2020Learning Agile Robotic Locomotion Skills by Imitating Animalscited by 229
  8. 2022Rapid Locomotion via Reinforcement Learningcited by 130
  9. 2022Walk These Ways: Tuning Robot Control for Generalization with Multiplicity of Behaviorcited by 113
  10. 2022Adversarial Motion Priors Make Good Substitutes for Complex Reward Functionscited by 68
  11. 2019Policies Modulating Trajectory Generatorscited by 47
  12. 2020RLOC: Terrain-Aware Legged Locomotion using Reinforcement Learning and Optimal Controlcited by 46
13 more
  1. 2019Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Controlcited by 43
  2. 2022Perceptive Locomotion through Nonlinear Model Predictive Controlcited by 27
  3. 2022Learning Free Gait Transition for Quadruped Robots via Phase-Guided Controllercited by 23
  4. 2022Optimization-Based Control for Dynamic Legged Robotscited by 21
  5. 2022OPT-Mimic: Imitation of Optimized Trajectories for Dynamic Quadruped Behaviorscited by 19
  6. 2022Versatile Skill Control via Self-supervised Adversarial Imitation of Unlabeled Mixed Motionscited by 13
  7. 2020Motion Planning for Quadrupedal Locomotion: Coupled Planning, Terrain Mapping and Whole-Body Controlcited by 10
  8. 2022TAMOLS: Terrain-Aware Motion Optimization for Legged Systemscited by 10
  9. 2020Kinodynamic Motion Planning for Multi-Legged Robot Jumping via Mixed-Integer Convex Programcited by 4
  10. 2021Online Trajectory Optimization for Dynamic Aerial Motions of a Quadruped Robotcited by 4
  11. 2022Nonlinear Model Predictive Control for Quadrupedal Locomotion Using Second-Order Sensitivity Analysiscited by 2
  12. 2019Optimal control via second order sensitivity analysiscited by 1
  13. 2023Reinforcement Learning for Legged Robots: Motion Imitation from Model-Based Optimal Controlcited by 1

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Citing papers per year: 2023: 5; 2024: 4; 2025: 3; 2026: 2.

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