Performance and stochastic stability of the adaptive fading extended Kalman filter with the matrix forgetting factor

Yükleniyor...
Küçük Resim

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Sciendo

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, the stability of the adaptive fading extended Kalman filter with the matrix forgetting factor when applied to the state estimation problem with noise terms in the non-linear discrete-time stochastic systems has been analysed. The analysis is conducted in a similar manner to the standard extended Kalman filter's stability analysis based on stochastic framework. The theoretical results show that under certain conditions on the initial estimation error and the noise terms, the estimation error remains bounded and the state estimation is stable. The importance of the theoretical results and the contribution to estimation performance of the adaptation method are demonstrated interactively with the standard extended Kalman filter in the simulation part.

Açıklama

Erbay, Hasan/0000-0002-7555-541X

Anahtar Kelimeler

Kalman filter, Non-linear systems, Stability, Adaptive filtering

Kaynak

Open Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

14

Sayı

Künye

Biçer, C., Özbek, L. & Erbay, H. (2016). Performance and stochastic stability of the adaptive fading extended Kalman filter with the matrix forgetting factor. Open Mathematics, 14(1), 934-945.