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arXiv 1801.04816eess.SYcs.ROcs.SY
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具有噪声测距的移动机器人网络的局部化约束部署

Localizability-Constrained Deployment of Mobile Robotic Networks with Noisy Range Measurements

Polytechnique Montreal(蒙特利尔理工学院);GERAD

Jerome Le Ny, Simon Chauvière

AI总结:

本文研究了在噪声测距下如何部署移动机器人网络以实现高精度定位,通过局部化函数优化网络几何结构,结合梯度下降法进行分布式控制。

摘要:

当移动网络中的节点使用相对于邻居的噪声测距来估计位置时,整体连通性和测量网络的几何结构对可实现的定位精度有关键影响。本文考虑了部署一个仅基于测距的协作定位移动机器人网络的问题,旨在维持有利于高精度估计机器人位置的网络几何结构。网络几何的质量通过一个称为“局部化性”的函数来衡量,该函数作为机器人运动规划的潜在场。该函数基于Cramér-Rao界,为给定的几何结构提供任何无偏位置估计器的协方差矩阵的下界。我们描述了基于梯度下降的机器人运动规划器,试图优化或约束网络局部化函数的不同变体,并讨论了以分布式方式实现这些控制器的方法。最后,本文还建立了统计观点与维护捕捉相对测距的图的加权刚性形式之间的正式联系。

英文摘要:

When nodes in a mobile network use relative noisy measurements with respect to their neighbors to estimate their positions, the overall connectivity and geometry of the measurement network has a critical influence on the achievable localization accuracy. This paper considers the problem of deploying a mobile robotic network implementing a cooperative localization scheme based on range measurements only, while attempting to maintain a network geometry that is favorable to estimating the robots' positions with high accuracy. The quality of the network geometry is measured by a "localizability" function serving as potential field for robot motion planning. This function is built from the Cramér-Rao bound, which provides for a given geometry a lower bound on the covariance matrix achievable by any unbiased position estimator that the robots might implement using their relative measurements. We describe gradient descent-based motion planners for the robots that attempt to optimize or constrain different variations of the network's localizability function, and discuss ways of implementing these controllers in a distributed manner. Finally, the paper also establishes formal connections between our statistical point of view and maintaining a form of weighted rigidity for the graph capturing the relative range measurements.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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