Estimation of spatial fields using asymptotic embedding methods and Lagrangian sensing
Estimation of spatial fields using asymptotic embedding methods and Lagrangian sensing
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使用渐近嵌入方法和拉格朗日传感估计空间场
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
F. Fahroo
中科院分区：
文献类型：
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作者：
M. Demetriou;F. Fahroo
本文提出了一种利用移动和固定空间传感装置估计空间场的新方法。假设空间场可以生成为椭圆型偏微分方程的状态，提出了一种在线状态估计器，采用部分状态估计对空间场进行重构。所提出的估计方案基于渐近嵌入方法，将椭圆PDE嵌入到描述每个时间实例状态估计的抛物PDE中。为了进一步提高状态估计器的性能，一种引导方案提供了传感设备在空间域中的空间重新定位。
This paper proposes a new method for estimating spatial fields using moving and fixed-in-space sensing devices. It is assumed that the spatial field can be generated as the state of an elliptic partial differential equation and an on-line state estimator is proposed that takes partial state estimates in order to reconstruct the spatial field. The proposed estimation scheme is based on asymptotic embedding methods which essentially embed the elliptic PDE into a parabolic PDE that describes the state estimate in each time instance. To further enhance the performance of the state estimator, a guidance scheme provides the spatial relocation of the sensing devices within the spatial domain.