Experiment time minimisation under parameter accuracy constraints and time-domain signal amplitude bounds

M. G. Potters, X. Bombois, Paul M J Van Den Hof

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

We consider the input design problem of finding the minimal required experiment time such that accuracy constraints on the parameter estimate of an identification experiment are satisfied, while also respecting signal amplitude bounds. The input signal is parameterized as a multi-sine. We first show how multiple linear matrix inequalities from the least-costly and applications-oriented experiment design frameworks can be transformed into a generalised E-optimality constraint. Then, the solution to our problem is found by: (i) designing a multi-sine of one period with the Guillaume-Manchester algorithm [12], [10] that minimises the generalised E-optimality criterion under signal amplitude bounds, and (ii) utilising periodicity and an optimality condition to scale the experiment time such that the imposed accuracy constraints are also respected. An example shows an experiment time reduction of 50% compared with a traditional least-costly experiment design approach.

Original languageEnglish
Title of host publicationProceedings 2016 European Control Conference
EditorsA. Rantzer, J. Bagterp Jørgensen, J. Stoustrup
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages1661-1666
ISBN (Electronic)978-1-5090-2591-6
DOIs
Publication statusPublished - 2016
Event2016 European Control Conference, ECC 2016: 15th annual European Control Conference - Aalborg, Denmark
Duration: 29 Jun 20161 Jul 2016
http://www.ecc16.eu/index.shtml

Conference

Conference2016 European Control Conference, ECC 2016
Abbreviated titleECC'16
CountryDenmark
CityAalborg
Period29/06/161/07/16
Internet address

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