mlsanityData to 14 Oct 2026

Accelerating and Scaling MPC-Guided Reinforcement Learning for Humanoid Locomotion and Manipulation

arXiv 2606.05687 ↗First posted 4 Jun 2026cs.RO cs.SY eess.SYcited by 3

On the map: Deep reinforcement learning methods → RL for robot locomotion and manipulation

Abstract (arXiv)

In humanoid motion control, model predictive control (MPC) offers physically grounded prediction and constraint handling, while reinforcement learning (RL) enables robust whole-body skills through large-scale simulation. However, using MPC inside RL often requires time-consuming problem construction or excessive training overhead, making such frameworks difficult to justify in practice. This work studies efficient training-time MPC guidance for humanoid locomotion and manipulation, termed MPC-RL. We introduce a centroidal-dynamics MPC reward formulation that leverages guidance from MPC trajectories in training time. To make this practical in massively parallel RL, we develop πnMPC, a parallel-in-horizon and construction-free batched GPU MPC solver that operates directly on time-varying dynamics to avoid high memory usage and pre-compilation. Through a variety of comparative studies and hardware validations, we have found that MPC-RL achieves superior performance in locomotion and manipulation skills. The code base is available at https://github.com/junhengl/mpc-rl.

Key facts. Cited by 3 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 27 of its 33 references that are in the map. First posted on arXiv 4 Jun 2026.

Builds on

27 of 33 references.

Closest ancestors · 3

Same direction, newest first

  1. 2026Cost-Matching Model Predictive Control for Efficient Reinforcement Learning in Humanoid Locomotion30 Mar
  2. 2024RL-augmented MPC Framework for Agile and Robust Bipedal Footstep Locomotion Planning and Control25 Jul
  3. 2024OGMP: Oracle Guided Multi-mode Policies for Agile and Versatile Robot Control7 Mar

Other references · 24

  1. 2017OptNet: Differentiable Optimization as a Layer in Neural Networkscited by 599
  2. 2025BeyondMimic: From Motion Tracking to Versatile Humanoid Control via Guided Diffusioncited by 165
  3. 2017OSQP: An Operator Splitting Solver for Quadratic Programscited by 161
  4. 2021Reinforcement Learning for Robust Parameterized Locomotion Control of Bipedal Robotscited by 116
  5. 2025Humanoid Locomotion and Manipulation: Current Progress and Challenges in Control, Planning, and Learningcited by 61
  6. 2023DTC: Deep Tracking Controlcited by 56
  7. 2025AMO: Adaptive Motion Optimization for Hyper-Dexterous Humanoid Whole-Body Controlcited by 51
  8. 2015Learning Deep Control Policies for Autonomous Aerial Vehicles with MPC-Guided Policy Searchcited by 42
  9. 2024Opt2Skill: Imitating Dynamically-feasible Whole-Body Trajectories for Versatile Humanoid Loco-Manipulationcited by 39
  10. 2023Sim-to-Real Learning for Humanoid Box Loco-Manipulationcited by 36
  11. 2022Optimization-Based Control for Dynamic Legged Robotscited by 35
  12. 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 26
12 more
  1. 2026mjlab: A Lightweight Framework for GPU-Accelerated Robot Learningcited by 26
  2. 2024Tailoring Solution Accuracy for Fast Whole-body Model Predictive Control of Legged Robotscited by 13
  3. 2023Learning Agile Locomotion and Adaptive Behaviors via RL-augmented MPCcited by 10
  4. 2022Online Non-linear Centroidal MPC for Humanoid Robot Locomotion with Step Adjustmentcited by 8
  5. 2023ReLU-QP: A GPU-Accelerated Quadratic Programming Solver for Model-Predictive Controlcited by 7
  6. 2015Stability of Surface Contacts for Humanoid Robots: Closed-Form Formulae of the Contact Wrench Cone for Rectangular Support Areascited by 6
  7. 2024CusADi: A GPU Parallelization Framework for Symbolic Expressions and Optimal Controlcited by 6
  8. 2026Walk the PLANC: Physics-Guided RL for Agile Humanoid Locomotion on Constrained Footholdscited by 6
  9. 2026A Differentiable Interior-Point Method in Single Precisioncited by 4
  10. 2025RL-augmented Adaptive Model Predictive Control for Bipedal Locomotion over Challenging Terraincited by 3
  11. 2025Gait-Net-augmented Implicit Kino-dynamic MPC for Dynamic Variable-frequency Humanoid Locomotion over Discrete Terrainscited by 2
  12. 2026πMPC: A Parallel-in-horizon and Construction-free NMPC Solvercited by 1

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 3.

3 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Control
  2. 2026RL-Augmented MPC for Non-Gaited Legged and Hybrid Locomotion
  3. 2026RGB: RL Guided Whole-Body MPPI for Humanoid Control
  4. 2025Learning Sim-to-Real Humanoid Locomotion in 15 Minutes
  5. 2025Mechanical Intelligence-Aware Curriculum Reinforcement Learning for Humanoids with Parallel Actuation
  6. 2026Learning Loco-Manipulation From SMPC Demonstrations With Sparse Offline-to-Online RL
  7. 2026MPC-Injection: Biasing Off-Policy Locomotion RL Toward Controller-Induced Behavior Basins
  8. 2026TurboMPC: Fast, Scalable, and Differentiable Model Predictive Control on the GPU