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Robust Optimal Experiment Design for System Identification
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. (System Identification Group)ORCID iD: 0000-0003-0355-2663
2007 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 43, no 6, 993-1008 p.Article in journal (Refereed) Published
Abstract [en]

This paper develops the idea of min-max robust experiment design for dynamic system identification. The idea of min-max experiment design has been explored in the statistics literature. However, the technique is virtually unknown by the engineering community and, accordingly, there has been little prior work on examining its properties when applied to dynamic system identification. This paper initiates an exploration of these ideas. The paper considers linear systems with energy (or power) bounded inputs. We assume that the parameters lie in a given compact set and optimise the worst case over this set. We also provide a detailed analysis of the solution for an illustrative one parameter example and propose a convex optimisation algorithm that can be applied more generally to a discretised approximation to the design problem. We also examine the role played by different design criteria and present a simulation example illustrating the merits of the proposed approach.

Place, publisher, year, edition, pages
Elsevier, 2007. Vol. 43, no 6, 993-1008 p.
Keyword [en]
robust experiment design, optimal input design
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-72610DOI: 10.1016/j.automatica.2006.12.013ISI: 000246870500005Scopus ID: 2-s2.0-34247473772OAI: oai:DiVA.org:kth-72610DiVA: diva2:488307
Note

QC 20120202

Available from: 2012-02-01 Created: 2012-01-31 Last updated: 2017-12-08Bibliographically approved

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Rojas, Cristian R.

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