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Use of Tikhonov regularization to improve the accuracy of position estimates in inertial navigation

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Original languageEnglish
Article number450269
Pages (from-to)1-10
Number of pages10
JournalInternational Journal of Navigation and Observation
Volume2011
DOIs
Publication statusPublished - 2011
Publication typeA1 Journal article-refereed

Abstract

Inertial navigation problems are often understood as initial value problems. However, there are many applications where boundary value problems naturally arise. In these situations, it has been shown that the finite element method can be efficiently used to compute accurate position and velocity estimates. We will propose that finite element method complemented with Tikhonov regularization—a basic tool for inverse problems—is a powerful combination for further accuracy improvements. The proposed method provides a straightforward way to exploit prior information of various types and is subject to rigorous optimality results. Use and accuracy of the proposed method are demonstrated with examples.

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