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Input design for identification of zeros
KTH, School of Electrical Engineering (EES), Automatic Control. (System Identification Group)ORCID iD: 0000-0002-3672-5316
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Electrical Engineering (EES), Automatic Control. (System Identification Group)ORCID iD: 0000-0002-9368-3079
2005 (English)In: IFAC Proceedings Volumes (IFAC-PapersOnline), Prague, 2005, Vol. 16, 470-475 p.Conference paper, Published paper (Refereed)
Abstract [en]

The objective of this contribution is input design for accurate identification of non-minimum phase zeros in linear systems. Recently, several variance results regarding estimation of non-minimum phase zeros have been presented. Based on these results, we will show how to design the input that has the least energy content required to keep the variance of an estimated zero below a certain limit. Both analytical and numerical results are presented. A striking fact of the analytical results is that the variance of an estimated zero is independent of the model order when the optimal input is applied. We will also quantify the benefits of using the optimal design compared to using a white input signal or a square-wave. Robustness issues will also be covered in this presentation. The optimal design depends on the location of the true unknown zero and is therefore infeasible. This is typically circumvented by replacing the true zero by an estimate. The sensitivity of the solution to this estimate is investigated.

Place, publisher, year, edition, pages
Prague, 2005. Vol. 16, 470-475 p.
Series
IFAC papers online, ISSN 1474-6670 ; 16
Keyword [en]
Convex optimization, Identification, Input design, Non-minimum phase zeros, Analytical results, Input signal, Least energy, Model order, Non-minimum phase zero, Numerical results, Optimal design, Robustness issues, Square-wave, Automation, Control, Estimation, Linear systems, Optimal systems, Optimization, Design
National Category
Control Engineering
Research subject
SRA - ICT
Identifiers
URN: urn:nbn:se:kth:diva-60543Scopus ID: 2-s2.0-79960741492ISBN: 978-008045108-4 (print)OAI: oai:DiVA.org:kth-60543DiVA: diva2:478610
Conference
16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005; Prague; 3 July 2005 through 8 July 2005
Funder
Swedish Research Council, 621-2001-2147
Note

QC 20120119

Available from: 2012-01-16 Created: 2012-01-13 Last updated: 2014-02-10Bibliographically approved

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Mårtensson, JonasHjalmarsson, Håkan

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