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歩行arXiv:2409.15610

拡散スタイルアニーリングによるトルクレベル歩行制御のための全次数サンプリングベースMPC

Full-Order Sampling-Based MPC for Torque-Level Locomotion Control via Diffusion-Style Annealing

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拡散モデルの考え方を取り入れたアニーリングでサンプリングベースMPCを改良し、四足ロボットの全次数ダイナミクスをリアルタイムに最適化して、学習なしで高精度な跳躍や歩行を実現した。

著者: Haoru Xue, Chaoyi Pan, Zeji Yi, Guannan Qu, Guanya Shi

分類: cs.RO

原文アブストラクト

Due to high dimensionality and non-convexity, real-time optimal control using full-order dynamics models for legged robots is challenging. Therefore, Nonlinear Model Predictive Control (NMPC) approaches are often limited to reduced-order models. Sampling-based MPC has shown potential in nonconvex even discontinuous problems, but often yields suboptimal solutions with high variance, which limits its applications in high-dimensional locomotion. This work introduces DIAL-MPC (Diffusion-Inspired Annealing for Legged MPC), a sampling-based MPC framework with a novel diffusion-style annealing process. Such an annealing process is supported by the theoretical landscape analysis of Model Predictive Path Integral Control (MPPI) and the connection between MPPI and single-step diffusion. Algorithmically, DIAL-MPC iteratively refines solutions online and achieves both global coverage and local convergence. In quadrupedal torque-level control tasks, DIAL-MPC reduces the tracking error of standard MPPI by $13.4$ times and outperforms reinforcement learning (RL) policies by $50\%$ in challenging climbing tasks without any training. In particular, DIAL-MPC enables precise real-world quadrupedal jumping with payload. To the best of our knowledge, DIAL-MPC is the first training-free method that optimizes over full-order quadruped dynamics in real-time.

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