Change search
ReferencesLink to record
Permanent link

Direct link
System identification using Kautz models
KTH, Superseded Departments, Signals, Sensors and Systems.ORCID iD: 0000-0002-1927-1690
1994 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 39, no 6, 1276-1282 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, the problem of approximating a linear time-invariant stable system by a finite weighted sum of given exponentials is considered. System identification schemes using Laguerre models are extended and generalized to Kautz models, which correspond to representations using several different possible complex exponentials. In particular, linear regression methods to estimate this sort of model from measured data are analyzed. The advantages of the proposed approach are the simplicity of the resulting identification scheme and the capability of modeling resonant systems using few parameters. The subsequent analysis is based on the result that the corresponding linear regression normal equations have a block Toeplitz structure. Several results on transfer function estimation are extended to discrete Kautz models, for example, asymptotic frequency domain variance expressions.

Place, publisher, year, edition, pages
1994. Vol. 39, no 6, 1276-1282 p.
Keyword [en]
Approximation theory, Discrete time control systems, Error statistics, Frequency domain analysis, Invariance, Linear control systems, Mathematical models, Parameter estimation, Regression analysis, Resonance, System stability, Transfer functions, Asymptotic variance expressions, Block Toeplitz structure, Complex exponentials, Discrete models, Kautz models, Laguerre models, Linear regression normal equations, Linear time invariant systems, Resonant systems, System identification, Identification (control systems)
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-55426DOI: 10.1109/9.293196ISI: A1994NU01800022OAI: diva2:471600
QC 20120104. Correspondence Address: Wahlberg, Bo; Royal Inst of Technology, Stockholm, SwedenAvailable from: 2012-01-02 Created: 2012-01-02 Last updated: 2013-09-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Wahlberg, Bo
By organisation
Signals, Sensors and Systems
In the same journal
IEEE Transactions on Automatic Control
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 18 hits
ReferencesLink to record
Permanent link

Direct link