arXiv:2608.09464eess.SYcs.RO2026-08被引 1

通过车辆轨迹实现未知位置信标自校准,精准定位隐藏目标

Trajectory-Induced Self-Calibration for Hidden-Target Localization Through an Unknown-Pose Range-Bearing Relay

  • 利用车辆运动轨迹与信标反馈的相对角度距离信息,解耦并校准信标姿态
  • 在无噪声情况下可精确恢复信标方位、位置及目标坐标,均方根误差仅5.5毫米
  • 适用于无人系统对隐蔽目标的高精度定位,尤其适合有异常数据干扰场景

本文研究通过一个全局位置和航向未知的中继信标,基于其报告的范围-方位数据来定位被遮挡的目标。车辆自身知道轨迹,但从未直接观测目标;中继包仅包含相对于车辆和目标的本地坐标系中的距离与方位信息。不同于基于方位的网络定位、相对帧定位或目标包围控制,目标既不在车辆坐标系中被直接观测,也不作为相对感知图中的节点处理。核心结果刻画了消除校准歧义所需的最小运动:单个车辆位姿导致连续的航向/平移/目标自由度,而来自同一未知位姿中继的两次不同车辆相对观测可在无噪声情况下共同确定中继航向(模2π)、中继位置以及锚定目标。局部秩推论、共享目标多信标扩展和轨迹展开条件引理将中继自校准与有限窗口激励及原生范围-方位估计联系起来。蒙特卡洛实验显示,该估计算法在5.5毫米均方根误差下恢复隐藏目标,比每包30毫米的范围噪声低五倍,比朴素的卡尔曼滤波基线高十三倍;从2米目标偏移和2.4弧度航向误差出发仍能收敛至相同精度;在10%异常值污染下,鲁棒加权保持毫米级精度,而未保护的算法成功率骤降至0.10。轨迹展开程度可预测估计性能:两个激励不足的轨迹条件数超过100,成功率分别为0.82和0.70,而所有充分激励的轨迹均达到完全成功。

原文摘要 · Abstract (English)

This paper studies hidden-target localization from range-bearing packets reported by a relay beacon whose global position and yaw are unknown. The vehicle knows its own trajectory but never directly senses the target; the relay packet contains only local-frame range and bearing to the vehicle and to the hidden target. Unlike bearing-only network localization, relative-frame localization, and target-enclosing control, the target is neither directly observed in the vehicle frame nor treated as a node in a relative-sensing graph. The main result characterizes the minimal motion that removes the resulting calibration ambiguity: one vehicle pose leaves a continuous yaw/translation/target gauge, whereas two distinct vehicle-relative observations from one unknown-pose relay constructively determine relay yaw (modulo 2 pi), relay position, and the anchored target in the noiseless case. A local rank corollary, a shared-target multi-beacon extension, and a trajectory-spread conditioning lemma connect relay self-calibration to finite-window excitation and native range-bearing estimation. In Monte Carlo evaluation the estimator recovers the hidden target with 5.5 mm RMSE, five times below the 30 mm per-packet range noise and thirteen times more accurate than a naive EKF baseline; it converges to the same accuracy from 2 m target offsets and 2.4 rad yaw errors, and Huber weighting preserves millimeter accuracy under 10% outlier corruption that drops the unprotected estimator to a 0.10 success rate. Trajectory spread predicts estimator quality: the two weakly excited trajectories carry condition numbers above 100 with success rates of 0.82 and 0.70, while every well-excited trajectory attains full success.

目标定位自校准传感器融合鲁棒估计

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