Nonlinear filtering based on Taylor differential algebra

Armellin, R, Valli, M, Di Lizia, P, Lavagna, MR and Zanetti, R (2013) Nonlinear filtering based on Taylor differential algebra In: 23rd AAS/AIAA Space Flight Mechanics Meeting, 2013-02-10 - 2013-02-14, Kauai, Hawaii.

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Abstract

The problem of nonlinear filtering represents a crucial issue in celestial mechanics. In this paper a high-order filter based on differential algebra is presented. The proposed filtering algorithm is based on nonlinear mapping of statistics and a linear update scheme, in which only the probability density function of the measurement errors are constrained to be Gaussian. No hypothesis on the state probability density function is made. The case of an Earth-orbiting spacecraft in a two-body problem frame is considered as an example to demonstrate the general feature and performance of the filter. A comparison with the extended and unscented Kalman filters is also included.

Item Type:	Conference or Workshop Item (Conference Paper)
Subjects :	Electronic Engineering
Divisions :	Surrey research (other units)
Authors :	Name Email ORCID Armellin, R r.armellin@surrey.ac.uk Valli, M Di Lizia, P Lavagna, MR Zanetti, R
Date :	2013
Copyright Disclaimer :	© 2013 American Astronautical Society
Contributors :	Contribution Name Email ORCID Tanygin, S Park, RS Starchville Jr., TF Newman, LK publisher American Astronautical Society,
Related URLs :	Publisher
Depositing User :	Symplectic Elements
Date Deposited :	17 May 2017 13:54
Last Modified :	23 Jan 2020 18:56
URI:	http://epubs.surrey.ac.uk/id/eprint/840757

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