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Robust excitation power spectrum design for broadband impedance spectroscopy
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-0355-2663
2014 (English)In: Measurement science and technology, ISSN 0957-0233, E-ISSN 1361-6501, Vol. 25, no 6, 065501- p.Article in journal (Refereed) Published
Abstract [en]

This paper focuses on the robust design of broadband impedance spectroscopy (IS) experiments. This contribution extends the optimal IS experiment design presented in previous work (Sanchez et al 2012 Meas. Sci. Technol. 23 085702) in order to design a robust broadband excitation which gives relatively good estimation performance over a large number of possible impedance models. To this end, we assume as prior knowledge that the parameters of the impedance model lie in a compact set. Then, we pose the experiment design problem as a convex optimization program, which gives the excitation signal of bounded power that minimizes the worst value of a given scalar function of the Fisher information matrix, as the parameters range over the given compact set. Supported by numerical simulations, our results reveal the robust excitation for impedance experiments has a discrete power spectrum, e. g. (periodic) multisine signals.

Place, publisher, year, edition, pages
2014. Vol. 25, no 6, 065501- p.
Keyword [en]
experiment design, convex optimization theory, impedance information, impedance spectroscopy, multisine excitations
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-148639DOI: 10.1088/0957-0233/25/6/065501ISI: 000338562600045ScopusID: 2-s2.0-84899634698OAI: diva2:737209
11th International Symposium on Measurement Technology and Intelligent Instruments (ISMTII), JUL 01-03, 2013, Aachen, Germany

QC 20140812

Available from: 2014-08-12 Created: 2014-08-11 Last updated: 2014-08-12Bibliographically approved

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Rojas, Cristian R.
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Automatic ControlACCESS Linnaeus Centre
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