arXiv:2509.22883cs.RO2025-09

多机器人协同采集非均匀时空环境数据,自适应优化估计精度。

Multi-Robot Allocation for Information Gathering in Non-Uniform Spatiotemporal Environments

  • 分两阶段:先用变差图学习区域空间相关尺度,再动态重分配机器人。
  • 实测提升不确定性估计准确率,收敛速度优于传统方法。
  • 适合需精准感知的智能巡检、环境监测等场景。

自主机器人正被广泛用于估计随空间和时间变化的场(如风速、温度、气体浓度)。本文研究非均匀时空环境,即被划分为若干无重叠区域且各具不同时空动态特性的环境。高斯过程(GPs)可用于建模此类场,其核函数依赖于空间与时间相关长度尺度,若这些尺度不准确,将导致不确定性估计严重偏差。现有方法通常假设全局统一长度尺度或仅周期性更新,部分方法允许空间变化但忽略时间演化。为此,本文提出一种两阶段多机器人场估计框架:第一阶段通过变差图驱动规划器学习区域特定的空间长度尺度;第二阶段采用基于当前不确定性的任务重分配策略,并随时间长度尺度的迭代优化采样。为量化不确定性,使用我们前期提出的清晰度(clarity)信息度量。在多种环境中验证该方法,并提供空间长度尺度估计的收敛性分析,以及动态遗憾界以衡量与理想分配序列的差距。

原文摘要 · Abstract (English)

Autonomous robots are increasingly deployed to estimate spatiotemporal fields (e.g., wind, temperature, gas concentration) that vary across space and time. We consider environments divided into non-overlapping regions with distinct spatial and temporal dynamics, termed non-uniform spatiotemporal environments. Gaussian Processes (GPs) can be used to estimate these fields. The GP model depends on a kernel that encodes how the field co-varies in space and time, with its spatial and temporal lengthscales defining the correlation. Hence, when these lengthscales are incorrect or do not correspond to the actual field, the estimates of uncertainty can be highly inaccurate. Existing GP methods often assume one global lengthscale or update only periodically; some allow spatial variation but ignore temporal changes. To address these limitations, we propose a two-phase framework for multi-robot field estimation. Phase 1 uses a variogram-driven planner to learn region-specific spatial lengthscales. Phase 2 employs an allocation strategy that reassigns robots based on the current uncertainty, and updates sampling as temporal lengthscales are refined. For encoding uncertainty, we utilize clarity, an information metric from our earlier work. We evaluate the proposed method across diverse environments and provide convergence analysis for spatial lengthscale estimation, along with dynamic regret bounds quantifying the gap to the oracle's allocation sequence.

多机器人高斯过程时空估计信息采集

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