Abstract/Details

Set-valued nonlinear estimation using the Galerkin approximation


1998 1998

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Abstract (summary)

In some estimation problems there is not enough information in the data or system model to warrant a unique estimate of the system state. Set valued estimators are able to convey the information that is available from the data and contextual considerations without overstating what can actually be known about the system state. In this work, a set-valued state estimator for nonlinear dynamic systems is presented. The estimator uses the Galerkin approximation to solve Kolmogorov's equation for the diffusion of a continuous-time continuous-state nonlinear system, as well as for implementing discrete time updates of noisy measurements. This filtering of the state is accomplished for a convex set of distributions simultaneously, and closed-form representations of the set of resulting means and covariances is provided at any desired time instant.

Indexing (details)


Subject
Electrical engineering
Classification
0544: Electrical engineering
Identifier / keyword
Applied sciences, Galerkin approximation, Nonlinear estimation, Set-valued
Title
Set-valued nonlinear estimation using the Galerkin approximation
Author
Kenney, John Doran
Number of pages
108
Publication year
1998
Degree date
1998
School code
0022
Source
DAI-B 59/11, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780599117211, 0599117214
University/institution
Brigham Young University
University location
United States -- Utah
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9913297
ProQuest document ID
304417315
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304417315
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