Integrating Model-Based Footstep Planning with Model-Free Reinforcement Learning for Dynamic Legged Locomotion
On the map: Deep reinforcement learning methods → RL for robot locomotion and manipulation
Abstract (arXiv)
In this work, we introduce a control framework that combines model-based footstep planning with Reinforcement Learning (RL), leveraging desired footstep patterns derived from the Linear Inverted Pendulum (LIP) dynamics. Utilizing the LIP model, our method forward predicts robot states and determines the desired foot placement given the velocity commands. We then train an RL policy to track the foot placements without following the full reference motions derived from the LIP model. This partial guidance from the physics model allows the RL policy to integrate the predictive capabilities of the physics-informed dynamics and the adaptability characteristics of the RL controller without overfitting the policy to the template model. Our approach is validated on the MIT Humanoid, demonstrating that our policy can achieve stable yet dynamic locomotion for walking and turning. We further validate the adaptability and generalizability of our policy by extending the locomotion task to unseen, uneven terrain. During the hardware deployment, we have achieved forward walking speeds of up to 1.5 m/s on a treadmill and have successfully performed dynamic locomotion maneuvers such as 90-degree and 180-degree turns.
Key facts. Cited by 10 papers in the map (data through 14 Oct 2026). Placed in RL for robot locomotion and manipulation, one of 15 directions in Deep reinforcement learning methods. Builds on 9 of its 25 references that are in the map. First posted on arXiv 5 Aug 2024.
Builds on
9 of 25 references.
References · 9
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 604
- 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 382
- 2023DTC: Deep Tracking Controlcited by 56
- 2022Perceptive Locomotion through Nonlinear Model Predictive Controlcited by 38
- 2020Learning Spring Mass Locomotion: Guiding Policies with a Reduced-Order Modelcited by 15
- 2022Sim-to-Real Learning of Footstep-Constrained Bipedal Dynamic Walkingcited by 13
- 2022Learning Dynamic Bipedal Walking Across Stepping Stonescited by 9
- 2022Optimizing Bipedal Maneuvers of Single Rigid-Body Models for Reinforcement Learningcited by 6
Built on by
Citing papers per year: 2024: 1; 2025: 5; 2026: 4.
10 papers.
- 2024CusADi: A GPU Parallelization Framework for Symbolic Expressions and Optimal Controlcited by 6
- 2025CLF-RL: Control Lyapunov Function Guided Reinforcement Learningcited by 5
- 2025Chasing Stability: Humanoid Running via Control Lyapunov Function Guided Reinforcement Learningcited by 4
- 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Controlcited by 3
- 2025LIPM-Guided Reinforcement Learning for Stable and Perceptive Locomotion in Bipedal Robotscited by 2
- 2025Physics-Guided Residual Reinforcement Learning for Humanoid Narrow-Path Traversalcited by 1
- 2026ECO: Energy-Constrained Optimization with Reinforcement Learning for Humanoid Walkingcited by 1
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Trackingcited by 1
- 2026ADP: Adversarial Dynamics Priors for Physically Grounded Humanoid Locomotioncited by 1
- 2026Terrain Consistent Reference-Guided RL for Humanoid Navigation Autonomycited by 0
- 2026ADP: Adversarial Dynamics Priors for Physically Grounded Humanoid Locomotion3 Jul 2026
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Tracking6 Jun 2026
- 2026Terrain Consistent Reference-Guided RL for Humanoid Navigation Autonomy15 May 2026
- 2026ECO: Energy-Constrained Optimization with Reinforcement Learning for Humanoid Walking6 Feb 2026
- 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Control14 Oct 2025
- 2025Chasing Stability: Humanoid Running via Control Lyapunov Function Guided Reinforcement Learning23 Sep 2025
- 2025LIPM-Guided Reinforcement Learning for Stable and Perceptive Locomotion in Bipedal Robots11 Sep 2025
- 2025Physics-Guided Residual Reinforcement Learning for Humanoid Narrow-Path Traversal28 Aug 2025
- 2025CLF-RL: Control Lyapunov Function Guided Reinforcement Learning12 Aug 2025
- 2024CusADi: A GPU Parallelization Framework for Symbolic Expressions and Optimal Control19 Aug 2024
Similar, not cited
Close in wording, no citation either way
- 2026Walk the PLANC: Physics-Guided RL for Agile Humanoid Locomotion on Constrained Footholds
- 2024RL-augmented MPC Framework for Agile and Robust Bipedal Footstep Locomotion Planning and Control
- 2026MARCH: Model-Assisted Reinforcement Learning for the Perceptive Control of Humanoids over Sparse Footholds
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrains
- 2025RL-augmented Adaptive Model Predictive Control for Bipedal Locomotion over Challenging Terrain
- 2026RL-Augmented MPC for Non-Gaited Legged and Hybrid Locomotion
- 2025Dynamic Policy Learning for Legged Robot with Simplified Model Pretraining and Model-Homotopy-Inspired Transfer ↗
- 2024Reinforcement Learning for Versatile, Dynamic, and Robust Bipedal Locomotion Control