Title

A Quadrature Based Method Of Moments For Nonlinear Filtering

Abstract

According to the nonlinear filtering theory, optimal estimates of a general continuousdiscrete nonlinear filtering problem can be obtained by solving the Fokker-Planck equation, coupled with a Bayesian update rule. This procedure does not rely on linearizations of the dynamical and/or measurement models. However, the lack of fast and efficient methods for solving the Fokker-Planck equation presents challenges in real time nonlinear filtering problems. In this paper, a direct quadrature method of moments is introduced to solve the Fokker-Planck equation efficiently and accurately. This approach involves representation of the state conditional probability density function in terms of a finite collection of Dirac delta functions. The weights and locations (abscissas) in this representation are determined by moment constraints and modified using the Baye's rule according to measurement updates. As compared with finite difference methods that are typically used in solving the Fokker- Planck equation, the computational cost is much lower. As emonstrated by a numerical example this approach appears to be promising in the field of nonlinear filtering. Copyright © 2008 by Yunjun Xu. Published by the American Institute of Aeronautics and Astronautics. Inc.

Publication Date

1-1-2008

Publication Title

AIAA/AAS Astrodynamics Specialist Conference and Exhibit

Number of Pages

-

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.2514/6.2008-6602

Socpus ID

78049282723 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/78049282723

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