Hao Yuhang, Wang Zengfu, Niño-Mora José, Fu Jing, Pan Quan, Yang Min
School of Automation, Northwestern Polytechnical University, Xi'an 710072, China.
Key Laboratory of Information Fusion Technology, Ministry of Education, Xi'an 710072, China.
Sensors (Basel). 2024 Dec 4;24(23):7755. doi: 10.3390/s24237755.
This paper addresses beam scheduling for tracking multiple smart targets in phased array radar networks, aiming to mitigate the performance degradation in previous myopic scheduling methods and enhance the tracking performance, which is measured by a discounted cost objective related to the tracking error covariance (TEC) of the targets. The scheduling problem is formulated as a restless multi-armed bandit problem, where each bandit process is associated with a target and its TEC states evolve with different transition rules for different actions, i.e., either the target is tracked or not. However, non-linear measurement functions necessitate the inclusion of dynamic state information for updating future multi-step TEC states. To compute the marginal productivity (MP) index, the unscented sampling method is employed to predict dynamic and TEC states. Consequently, an unscented sampling-based MP (US-MP) index policy is proposed for selecting targets to track at each time step, which can be applicable to large networks with a realistic number of targets. Numerical evidence presents that the bandit model with the scalar Kalman filter satisfies sufficient conditions for indexability based upon partial conservation laws and extensive simulations validate the effectiveness of the proposed US-MP policy in practical scenarios with TEC states.
本文探讨了相控阵雷达网络中跟踪多个智能目标的波束调度问题，旨在减轻以往近视调度方法中的性能退化并提高跟踪性能，跟踪性能通过与目标跟踪误差协方差（TEC）相关的折扣成本目标来衡量。调度问题被表述为一个非平稳多臂老虎机问题，其中每个老虎机过程与一个目标相关联，并且其TEC状态根据不同动作遵循不同的转移规则而演变，即目标是否被跟踪。然而，非线性测量函数需要纳入动态状态信息以更新未来的多步TEC状态。为了计算边际生产率（MP）指标，采用无迹采样方法来预测动态和TEC状态。因此，提出了一种基于无迹采样的MP（US-MP）指标策略，用于在每个时间步选择要跟踪的目标，该策略可应用于具有实际目标数量的大型网络。数值证据表明，具有标量卡尔曼滤波器的老虎机模型基于部分守恒定律满足可索引性的充分条件，并且大量仿真验证了所提出的US-MP策略在具有TEC状态的实际场景中的有效性。
