TUTCRIS - Tampereen teknillinen yliopisto

TUTCRIS

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

Tutkimustuotosvertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
Artikkeli450269
Sivut1-10
Sivumäärä10
JulkaisuInternational Journal of Navigation and Observation
Vuosikerta2011
DOI - pysyväislinkit
TilaJulkaistu - 2011
OKM-julkaisutyyppiA1 Alkuperäisartikkeli

Tiivistelmä

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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