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Improved Kalman Filter Initialisation using Neurofuzzy Estimation

Improved Kalman Filter Initialisation using Neurofuzzy Estimation
Improved Kalman Filter Initialisation using Neurofuzzy Estimation
It is traditional to initialise Kalman filters and extended Kalman filters with estimates of the states calculated directly from the observed (raw) noisy inputs but unfortunately their performance is extremely sensitive to state initialisation accuracy. Good initial state estimates ensure fast convergence whereas poor estimates may give rise to slow convergence or even filter divergence. Divergence is generally due to excessive observation noise and leads to error magnitudes that quickly become unbounded. When a filter diverges, it must be re-initialised but because the observations are extremely poor, re-initialised states will have poor estimates. This paper proposes that if neurofuzzy estimators produce more accurate state estimates than those calculated from the observed noisy inputs (using the known state model), then neurofuzzy estimates can be used to initialise the states of Kalman and extended Kalman filters. Filters whose states have been initialised with neurofuzzy estimates should give improved performance by way of faster convergence when the filter is initialised, and when a filter is re-started after divergence.
Roberts, J.M.
58762646-1ccb-4f99-b8c3-ca47871b8f32
Mills, D.J.
bd207c8b-fbf0-41da-bba4-b54d9a29804d
Charnley, D.
201a3f46-6348-4188-a8af-9e4e08c5889a
Harris, C.J.
c4fd3763-7b3f-4db1-9ca3-5501080f797a
Roberts, J.M.
58762646-1ccb-4f99-b8c3-ca47871b8f32
Mills, D.J.
bd207c8b-fbf0-41da-bba4-b54d9a29804d
Charnley, D.
201a3f46-6348-4188-a8af-9e4e08c5889a
Harris, C.J.
c4fd3763-7b3f-4db1-9ca3-5501080f797a

Roberts, J.M., Mills, D.J., Charnley, D. and Harris, C.J. (1995) Improved Kalman Filter Initialisation using Neurofuzzy Estimation

Record type: Monograph (Project Report)

Abstract

It is traditional to initialise Kalman filters and extended Kalman filters with estimates of the states calculated directly from the observed (raw) noisy inputs but unfortunately their performance is extremely sensitive to state initialisation accuracy. Good initial state estimates ensure fast convergence whereas poor estimates may give rise to slow convergence or even filter divergence. Divergence is generally due to excessive observation noise and leads to error magnitudes that quickly become unbounded. When a filter diverges, it must be re-initialised but because the observations are extremely poor, re-initialised states will have poor estimates. This paper proposes that if neurofuzzy estimators produce more accurate state estimates than those calculated from the observed noisy inputs (using the known state model), then neurofuzzy estimates can be used to initialise the states of Kalman and extended Kalman filters. Filters whose states have been initialised with neurofuzzy estimates should give improved performance by way of faster convergence when the filter is initialised, and when a filter is re-started after divergence.

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More information

Published date: 1995
Additional Information: 1995/6 Research Journal Address: Department of Electronics and Computer Science
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 250102
URI: http://eprints.soton.ac.uk/id/eprint/250102
PURE UUID: ad98fc87-1257-461c-a2ea-d424b54042c8

Catalogue record

Date deposited: 04 May 1999
Last modified: 22 Feb 2024 18:02

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Contributors

Author: J.M. Roberts
Author: D.J. Mills
Author: D. Charnley
Author: C.J. Harris

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