Wegener, M.; Schnieder, E.:
Application of the GUM method for state-space systems in case of uncorrelated input uncertainties.
Measurement Science and Technology. (2), February 2013.
For the systematic evaluation of measurement uncertainty, the so-called ISO GUM method is
well established within the metrological community. The method refers to measurements
where the properties of all involved quantities are assumed to be constant during the
measurement period. However, in technical applications, such as real-time vehicle
localization, the standardized evaluation of a time-dependent uncertainty resulting from
dynamic measurements is more and more needed. This contribution extends the standardized
ISO GUM method to the class of dynamic measurement systems in a consistent
straightforward way. For this purpose, state-space models are used as a means of description,
as they can be processed by computers very efficiently. It is shown that the evolution of the
systems’ output uncertainty matrix can be described by a state-space model again. This allows
an analytical examination of the uncertainty’s behaviour over time. As an illustrative example,
a measurement system is considered that performs a low-pass filtering of the acquired values.