Learning Spring Mass Locomotion: Guiding Policies with a Reduced-Order Model
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Abstract (arXiv)
In this paper, we describe an approach to achieve dynamic legged locomotion on physical robots which combines existing methods for control with reinforcement learning. Specifically, our goal is a control hierarchy in which highest-level behaviors are planned through reduced-order models, which describe the fundamental physics of legged locomotion, and lower level controllers utilize a learned policy that can bridge the gap between the idealized, simple model and the complex, full order robot. The high-level planner can use a model of the environment and be task specific, while the low-level learned controller can execute a wide range of motions so that it applies to many different tasks. In this letter we describe this learned dynamic walking controller and show that a range of walking motions from reduced-order models can be used as the command and primary training signal for learned policies. The resulting policies do not attempt to naively track the motion (as a traditional trajectory tracking controller would) but instead balance immediate motion tracking with long term stability. The resulting controller is demonstrated on a human scale, unconstrained, untethered bipedal robot at speeds up to 1.2 m/s. This letter builds the foundation of a generic, dynamic learned walking controller that can be applied to many different tasks.
Key facts. Cited by 8 papers in the map (data through 13 Oct 2026). First posted on arXiv 21 Oct 2020.
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Citing papers per year: 2021: 2; 2022: 2; 2023: 3; 2024: 0; 2025: 1.
8 papers.
- 2023MoConVQ: Unified Physics-Based Motion Control via Scalable Discrete Representationscited by 60
- 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Modelcited by 23
- 2022Learning to Brachiate via Simplified Model Imitationcited by 7
- 2023Benchmarking Potential Based Rewards for Learning Humanoid Locomotioncited by 7
- 2021An Adaptable Approach to Learn Realistic Legged Locomotion without Examplescited by 4
- 2022Custom Sine Waves Are Enough for Imitation Learning of Bipedal Gaits with Different Stylescited by 0
- 2023Deriving Rewards for Reinforcement Learning from Symbolic Behaviour Descriptions of Bipedal Walkingcited by 0
- 2025Reduced-Order Model-Guided Reinforcement Learning for Demonstration-Free Humanoid Locomotioncited by 0
- 2025Reduced-Order Model-Guided Reinforcement Learning for Demonstration-Free Humanoid Locomotion23 Sep 2025
- 2023Deriving Rewards for Reinforcement Learning from Symbolic Behaviour Descriptions of Bipedal Walking16 Dec 2023
- 2023MoConVQ: Unified Physics-Based Motion Control via Scalable Discrete Representations16 Oct 2023
- 2023Benchmarking Potential Based Rewards for Learning Humanoid Locomotion19 Jul 2023
- 2022Learning to Brachiate via Simplified Model Imitation8 May 2022
- 2022Custom Sine Waves Are Enough for Imitation Learning of Bipedal Gaits with Different Styles8 Apr 2022
- 2021An Adaptable Approach to Learn Realistic Legged Locomotion without Examples28 Oct 2021
- 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Model20 Apr 2021