Recursive Elimination Method in Moving Horizon Estimation for a Class of Nonlinear Systems and Non-Gaussian Noise

Autor: Tomoyuki Iori, Toshiyuki Ohtsuka
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: SICE Journal of Control, Measurement, and System Integration, Vol 13, Iss 6, Pp 282-290 (2020)
Druh dokumentu: article
ISSN: 1884-9970
DOI: 10.9746/jcmsi.13.282
Popis: This paper proposes a recursive elimination method for optimal filtering problems of a class of discrete-time nonlinear systems with non-Gaussian noise. By this method, most of the computations to solve an optimal filtering problem can be carried out off-line by using symbolic computation based on the results from algebraic geometry. This property is suitable for moving horizon estimation, where a certain optimal filtering problem must be solved for different measurement sequences in each sampling interval. A numerical example is provided to compare the proposed method with other state estimation methods including the particle filter, and the efficiency of the proposed method is shown.
Databáze: Directory of Open Access Journals