On the impact of model errors on input and state estimation in structural dynamic systems
W. Petersen (Norwegian University of Science and Technology (NTNU))
Eliz Mari Lourens (TU Delft - Offshore Engineering, TU Delft - Dynamics of Structures)
K. Maes (Katholieke Universiteit Leuven)
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Abstract
In applied structural dynamics, input and state estimation techniques are used to identify unmeasurable response quantities and unknown forces from limited sensor data. These estimators depend on mechanical state-space models, which can be inaccurate due to uncertainties in the systems' mass, damping, and stiffness (or equivalently, the modal parameters of a linear system). This work examines the impact of such model errors and their effects are characterized by a theoretical framework for error propagation to the estimated quantities. The results are exemplified in a numerical example of a mass-spring system. The characterization is a first step towards more focused attempts to develop algorithms in the realm of input and state estimation that are able to deal more robustly with numerical models subject to uncertainty.