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    Navigation of a three-link microswimmer via deep reinforcement learning

    Yuyang Lai1, Sina Heydari2, On Shun Pak2,3,*, and Yi Man1,†

    • 1Department of Mechanics and Engineering Science at College of Engineering, Peking University, Beijing 100871, People's Republic of China
    • 2Department of Mechanical Engineering, Santa Clara University, Santa Clara, California 95053, USA
    • 3Department of Applied Mathematics, Santa Clara University, Santa Clara, California 95053, USA

    • *Contact author: opak@scu.edu
    • †Contact author: yiman@pku.edu.cn

    Phys. Rev. Fluids 10, 064103 – Published 16 June, 2025

    DOI: https://doi.org/10.1103/9msg-hgqn

    Abstract

    Motile microorganisms develop effective swimming gaits to adapt to complex biological environments. Translating this adaptability to smart microrobots presents significant challenges in motion planning and stroke design. In this work, we explore the use of reinforcement learning (RL) to develop stroke patterns for targeted navigation in a three-link swimmer model at low Reynolds numbers. Specifically, we design two RL-based strategies: one focusing on maximizing velocity (velocity-focused strategy) and another balancing velocity with energy consumption (energy-aware strategy). Our results demonstrate how the use of different reward functions influences the resulting stroke patterns developed via RL, which are compared with those obtained from traditional optimization methods. Furthermore, we showcase the capability of the RL-powered swimmer in adapting its stroke patterns to perform different navigation tasks, including tracing complex trajectories and pursuing moving targets. Taken together, this work highlights the potential of reinforcement learning as a versatile tool for designing efficient and adaptive microswimmers capable of sophisticated maneuvers in complex environments.

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