Change search
ReferencesLink to record
Permanent link

Direct link
On Some Robustness Issues in Input Design
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0002-9368-3079
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0002-3672-5316
KTH, School of Electrical Engineering (EES), Automatic Control. (System Identification Group)ORCID iD: 0000-0002-1927-1690
2006 (English)In: IFAC Proceedings Volumes (IFAC-PapersOnline), 2006Conference paper (Refereed)
Abstract [en]

It is commonly believed that solutions to optimal input design problems for identification of dynamical systems often are sensitive to the underlying assumptions. For example, a wide class of problems can be solved with sinusoidal inputs with the same number of excitation frequencies (over the frequency range (-\p,\p]) as number of estimated parameters. With such an input it is not possible to check whether the true system is of higher order or not since then the input is not persistently exciting enough. In this contribution we argue that the optimal solution is often not unique and that there are alternatives to sinusoidal inputs which are more robust. For simplicity, we restrict attention to finite impulse-response models. For such a model of order n, it is only the n first auto-correlation coefficients of the input which determine the accuracy of the parameter estimate. Thus, the remaining coefficients can be used to make the solution more robust. For the problem of estimating some scalar system quantity J with a prescribed accuracy using minimum input energy, there is, under certain assumptions, an input spectrum that is optimal regardless of the model order. Furthermore, we show that using this input allows J to be estimated consistently even when the model order is lower than the true system order.

Place, publisher, year, edition, pages
Keyword [en]
input design, model error, under-modeling
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-55484DOI: 10.3182/20060329-3-AU-2901.00078OAI: diva2:471693
Proceedings 14th IFAC Symposium on System Identification, Newcastle, Austrilia
Qc 20120118Available from: 2012-01-18 Created: 2012-01-02 Last updated: 2013-09-05Bibliographically approved

Open Access in DiVA

IR-EE-RT 2006:005(177 kB)249 downloads
File information
File name FULLTEXT01.pdfFile size 177 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full textIOFAC-Papersonline

Search in DiVA

By author/editor
Hjalmarsson, HåkanMårtensson, JonasWahlberg, Bo
By organisation
Automatic Control
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 249 downloads
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: 51 hits
ReferencesLink to record
Permanent link

Direct link