Title
Bi-orthonormal basis functions for improved frequency-domain system identification.
Abstract
Frequency-domain identification algorithms are considered. The aim of this paper is to develop a new algorithm that i) converges to a minimum of the objective function, and ii) possesses optimal numerical properties. Hereto, recent results in instrumental variable system identification are exploited. In addition, a new bilinear form is proposed that leads to the novel introduction of bi-orthonormal polynomials in system identification. The combination of these aspects leads to the desired convergence properties in conjunction with optimal numerical conditioning. The results are supported by means of a simulation example.
Year
DOI
Venue
2012
10.1109/CDC.2012.6426408
CDC
Keywords
Field
DocType
convergence of numerical methods,frequency-domain analysis,identification,polynomials,bi-orthonormal basis functions,bi-orthonormal polynomials,bilinear form,convergence properties,improved frequency-domain system identification,instrumental variable system identification,objective function,optimal numerical conditioning,optimal numerical properties
Frequency domain,Convergence (routing),Mathematical optimization,Bilinear form,Polynomial,Frequency domain system identification,Control theory,Computer science,Instrumental variable,System identification,Orthonormal basis functions
Conference
ISSN
Citations 
PageRank 
0743-1546
3
0.44
References 
Authors
3
3
Name
Order
Citations
PageRank
Robbert van Herpen1274.27
Tom Oomen2619.63
Okko H. Bosgra310916.28