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完全信息下的四足机器人多对一追捕问题研究OA

Research on multi-to-one pursuit problem of quadruped robots under complete information

中文摘要英文摘要

追逃问题在对抗、合作以及搜查等领域具有广泛应用.本文研究在完全信息条件下的多对一追逃博弈问题.其中,所有参与者的位置信息是互相公开的.在此基础上,构建了一个连续随机博弈框架,并借助不动点定理,在该框架下证明追逃博弈的纳什均衡策略的存在.为此,结合虚拟自博弈思想,提出了一种基于深度强化学习的方法,用于求解追捕双方最优策略.在仿真中与其他传统追捕算法进行了对比,本文算法的追捕胜率可达90%.最后,通过实物围捕平台进行实验,验证了本文所提出方法的有效性和实用性.

The pursuit-evasion problem has wide applications in areas such as confrontation,cooperation,and search.This paper studies the multi-to-one pursuit-evasion game problem under complete information conditions.In this scenario,the positional information of all participants is publicly available.Based on this,a continuous random game framework is constructed,and using the fixed-point theorem,the existence of Nash equilibrium strategies for the pursuit-evasion game is proven within this framework.To achieve this,a method based on deep reinforcement learning is proposed,combining the concept of virtual self-game,to solve for the optimal strategies of both pursuer and evader.Then,comparisons are made with other traditional pursuit algorithms through simulations,demonstra-ting that the pursuit success rate of the proposed algorithm can reach 90%.Finally,experiments are conducted using a physical capture platform to validate the effectiveness and practicality of the proposed approach.

丁镱明;冯宇;李永强

浙江工业大学信息工程学院 杭州 310023浙江工业大学信息工程学院 杭州 310023浙江工业大学信息工程学院 杭州 310023

追逃问题连续随机博弈深度强化学习虚拟自博弈纳什均衡

pursuit-evasion problemcontinuous random gamedeep reinforcement learningvirtual self-gameNash equilibrium

《高技术通讯》 2026 (3)

298-306,9

国家自然科学基金面上项目(61973276)资助.

10.3772/j.issn.1002-0470.2026.03.008

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