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A matrix nullspace approach for solving equality-constrained multivariable polynomial least-squares problems

Hölzel, Matthew and Bernstein, Dennis (2014) A matrix nullspace approach for solving equality-constrained multivariable polynomial least-squares problems. Automatica, 50 (12), pp. 3030-3037. Elsevier. DOI: 10.1016/j.automatica.2014.10.039 ISSN 0005-1098

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Abstract

We present an elimination theory-based method for solving equality-constrained multivariable polynomial least-squares problems in system identification. While most algorithms in elimination theory rely upon Groebner bases and symbolic multivariable polynomial division algorithms, we present an algorithm which is based on computing the nullspace of a large sparse matrix and the zeros of a scalar, univariate polynomial.

Item URL in elib:https://elib.dlr.de/93661/
Document Type:Article
Title:A matrix nullspace approach for solving equality-constrained multivariable polynomial least-squares problems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hölzel, MatthewUniversity of Bremen and the German Aerospace Center (DLR)UNSPECIFIED
Bernstein, DennisUniversity of Michigan, Ann ArborUNSPECIFIED
Date:December 2014
Journal or Publication Title:Automatica
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:50
DOI :10.1016/j.automatica.2014.10.039
Page Range:pp. 3030-3037
Publisher:Elsevier
ISSN:0005-1098
Status:Published
Keywords:Identification algorithms; Least squares; Multivariable polynomial
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:other
DLR - Research area:Raumfahrt
DLR - Program:R - no assignment
DLR - Research theme (Project):R - no assignment, Hochpräzise Lageregelung, R - Raumfahrzeugsysteme - Konzepte und Entwurf
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Steffes, Stephen
Deposited On:19 Dec 2014 11:06
Last Modified:31 Jul 2019 19:50

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