MODELLING OF DYNAMIC MEASUREMENTS FOR UNCERTAINTY ANALYSIS BY MEANS OF DISCRETISED STATE-SPACE FORMS

Klaus-Dieter Sommer, Uwe Hanebeck, Michael Krystek, Anna-Lisa Hauswaldt, Albert Weckenmann

Abstract

Both, the ISO-GUM and the Supplement S1 of the GUM require expressing the knowledge about the measurement process by a so-called measurement function, which represents the mathematical relationship between the relevant parameters, the influence quantities, and the measurand(s). Nevertheless, both documents are confined to lumped-parameter systems in the steady state. Since dynamic measuring systems gain more and more importance, modern uncertainty determination must develop appropriate modelling approaches for dealing with dynamic measurements. This paper exemplarily describes a possible modelling approach for dynamic measurements that utilizes discretized state-space forms. The basic role of the cause-effect approach and its necessary inversion for the uncertainty evaluation is emphasized. The paper is an extension and refinement of former work of the authors.

Keywords

dynamic measurements, state-space modelling

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IMEKO-WC-2009-TC7-580.pdf

DOI

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IMEKO TC

TC7 - Measurement Science

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