论文标题
具有半平面目标和撤退区域的两人侦察游戏
Two-Player Reconnaissance Game with Half-Planar Target and Retreat Regions
论文作者
论文摘要
本文关注的是涉及两个移动代理的侦察游戏：入侵者和防守者。入侵者的任务是重新侦查一个感兴趣的领域（目标区域），然后返回到一个安全区域（撤退区域），在那里两个区域是脱节的半平面，同时被更快的后卫追赶。本文重点介绍了在后者到达静修区之前，不能保证在后卫捕获入侵者的情况下。入侵者的目标是最大程度地减少其与目标区域的距离，而辩护人的目标是最大化相同的距离。该游戏根据入侵者的近视目标分解为两个阶段。与每个阶段相对应的游戏的完整解决方案，即价值函数和状态反馈平衡策略，是使用差分游戏方法以封闭形式开发的。提出了数值模拟结果，以展示我们解决方案的功效。
This paper is concerned with the reconnaissance game that involves two mobile agents: the Intruder and the Defender. The Intruder is tasked to reconnoiter a territory of interest (target region) and then return to a safe zone (retreat region), where the two regions are disjoint half-planes, while being chased by the faster Defender. This paper focuses on the scenario where the Defender is not guaranteed to capture the Intruder before the latter agent reaches the retreat region. The goal of the Intruder is to minimize its distance to the target region, whereas the Defender's goal is to maximize the same distance. The game is decomposed into two phases based on the Intruder's myopic goal. The complete solution of the game corresponding to each phase, namely the Value function and state-feedback equilibrium strategies, is developed in closed-form using differential game methods. Numerical simulation results are presented to showcase the efficacy of our solutions.
