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Optimal strategies for the control of autonomous vehicles in data assimilation

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1512.02271
Source
arXiv
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Abstract

We propose a method to compute optimal control paths for autonomous vehicles deployed for the purpose of inferring a velocity field. In addition to being advected by the flow, the vehicles are able to effect a fixed relative speed with arbitrary control over direction. It is this direction that is used as the basis for the locally optimal control algorithm presented here, with objective formed from the variance trace of the expected posterior distribution. We present results for linear flows near hyperbolic fixed points.

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