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On the accuracy of a covariance matching method for continuous-time errors-in-variables identification
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
2013 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 49, no 10, 2982-2993 p.Article in journal (Refereed) Published
Abstract [en]

An analysis of a covariance matching method for continuous-time errors-in-variables system identification from discrete-time data is made. In the covariance matching method, the noise-free input signal is not explicitly modeled and only assumed to be a stationary process. The asymptotic normalized covariance matrix, valid for a large number of data and a small sampling interval, is derived. This involves the evaluation of a covariance matrix of estimated covariance elements and estimated derivatives of such elements, and large parts of the paper are devoted to this task. The latter covariance matrix consists of two parts, where the first part contains integrals that are approximations of Riemann sums, and the second part depends on the measurement noise variances.

Place, publisher, year, edition, pages
2013. Vol. 49, no 10, 2982-2993 p.
Keyword [en]
Continuous-time systems, Errors-in-variables systems, Parameter estimation, Covariance matching, Accuracy analysis
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-209156DOI: 10.1016/j.automatica.2013.07.010ISI: 000324447500005OAI: oai:DiVA.org:uu-209156DiVA: diva2:656271
Available from: 2013-10-15 Created: 2013-10-15 Last updated: 2017-12-06Bibliographically approved

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Söderström, Torsten

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