CLF-RL: 制御リアプノフ関数による強化学習の誘導
CLF-RL: Control Lyapunov Function Guided Reinforcement Learning
モデルベースの参照軌道と制御リアプノフ関数を用いた報酬整形で二足歩行ロボットの強化学習を安定化させ、Unitree G1での実機実験で頑健性を向上させた。
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著者: Kejun Li, Zachary Olkin, Yisong Yue, Aaron D. Ames
分類: cs.RO
原文アブストラクト
Reinforcement learning (RL) has shown promise in generating robust locomotion policies for bipedal robots, but often suffers from tedious reward design and sensitivity to poorly shaped objectives. In this work, we propose a structured reward shaping framework that leverages model-based trajectory generation and control Lyapunov functions (CLFs) to guide policy learning. We explore two model-based planners for generating reference trajectories: a reduced-order linear inverted pendulum (LIP) model for velocity-conditioned motion planning, and a precomputed gait library based on hybrid zero dynamics (HZD) using full-order dynamics. These planners define desired end-effector and joint trajectories, which are used to construct CLF-based rewards that penalize tracking error and encourage rapid convergence. This formulation provides meaningful intermediate rewards, and is straightforward to implement once a reference is available. Both the reference trajectories and CLF shaping are used only during training, resulting in a lightweight policy at deployment. We validate our method both in simulation and through extensive real-world experiments on a Unitree G1 robot. CLF-RL demonstrates significantly improved robustness relative to the baseline RL policy and better performance than a classic tracking reward RL formulation.
