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

Autor: Biçer Cenker, Özbek Levent, Erbay Hasan
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Open Mathematics, Vol 14, Iss 1, Pp 934-945 (2016)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2016-0083
Popis: 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.
Databáze: Directory of Open Access Journals