Solution of the topographical fixation problem through the Kalman filter in the guaranteed approach
type: Item
instance of: scholarly article
title: Solution of the topographical fixation problem through the Kalman filter in the guaranteed approach
zbMATH Open document ID: 0926.93059
author: G. I. Bobrik
author: A. A. Golovan
author: A. I. Matasov
published in: Automation and Remote Control
publication date: 1999-06-29T00:00:00Z
review text: A stochastic guaranteed estimation problem with combined perturbations is formulated for solving the topographical fixation problem. Such problems lead to nonsmooth variational problems that do not easily yield a numerical solution. In many cases, it is more convenient to search for an optimal estimator and use a simpler estimation algorithm, i.e. the Kalman filter. The nonoptimality of the Kalman filter is estimated without solving the initial optimal guaranteed estimation problem within the framework of the theory of duality of convex variational problems. A numerical realization of the estimate for the topographical fixation problem is presented.
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93E11
zbMATH DE Number: 1263140
zbMATH Keywords: stochastic guaranteed estimation problem
zbMATH Keywords: Kalman filter
reviewed by: D. Jarušková
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1263140