This letter presents a versatile control method for dynamic and robust legged locomotion that integrates model-based optimal control with reinforcement learning (RL). Our approach involves training an RL policy to imitate reference motions generated on-demand through solving a finite-horizon optimal control problem. This integration enables the policy to leverage human expertise in generating motions to imitate while also allowing it to generalize to more complex scenarios that require a more complex dynamics model. Our method successfully learns control policies capable of generating diverse quadrupedal gait patterns and maintaining stability against unexpected external perturbations in both simulation and hardware experiments. Furthermore, we demonstrate the adaptability of our method to more complex locomotion tasks on uneven terrain without the need for excessive reward shaping or hyperparameter tuning.

本文提出了一种结合基于模型的最优控制与强化学习的动态、鲁棒的腿式 locomotion 的多功能控制方法; 该方法成功地学习了控制策略，能够在模拟和硬件实验中生成不同的四足步态模式并保持稳定，并演示了该方法对于不太平的地形的适应性，无需过多的奖励设计或超参数调整。

强化学习和基于模型的控制结合：使用按需最优控制学习多功能四足动态步态