论文标题
在多体资产游戏游戏中的合作代理商的最佳分配
Optimal assignment of collaborating agents in multi-body asset-guarding games
论文作者
论文摘要
我们在导弹防御中研究了一款多体资产保护游戏,拦截导弹团队合作捍卫了针对一组威胁导弹的非操纵资产。我们分两个步骤解决问题。我们首先提出一个任务问题,在其中将协作拦截器的协作子集最佳分配给每个威胁,以便所有威胁都被拦截到尽可能远的资产。我们假设每个拦截器都由从线性二次动态游戏衍生的协作指导法控制。我们的结果包括对5互感和3威胁导弹参与的6-DOF模拟,其中每个代理都被模拟为由自动驾驶仪控制的导弹机身。尽管在我们的协作指导定律中假设线性动力学以及模拟环境中未建模的动力学(例如,密度和重力变化),但我们表明模拟轨迹与我们的方法预测的轨迹非常匹配。此外,我们表明,速度和加速度更高的更敏捷威胁可以在次要拦截器协作时被拦截。我们认为,本文中引入的概念可以应用于不对称的导弹防御场景中,包括防御先进的巡航导弹和高超音速车辆。
We study a multi-body asset-guarding game in missile defense where teams of interceptor missiles collaborate to defend a non-manuevering asset against a group of threat missiles. We approach the problem in two steps. We first formulate an assignment problem where we optimally assign subsets of collaborating interceptors to each threat so that all threats are intercepted as far away from the asset as possible. We assume that each interceptor is controlled by a collaborative guidance law derived from linear quadratic dynamic games. Our results include a 6-DOF simulation of a 5-interceptor versus 3-threat missile engagement where each agent is modeled as a missile airframe controlled by an autopilot. Despite the assumption of linear dynamics in our collaborative guidance law and the unmodeled dynamics in the simulation environment (e.g., varying density and gravity), we show that the simulated trajectories match well with those predicted by our approach. Furthermore, we show that a more agile threat, with greater speed and acceleration, can be intercepted by inferior interceptors when they collaborate. We believe the concepts introduced in this paper may be applied in asymmetric missile defense scenarios, including defense against advanced cruise missiles and hypersonic vehicles.