Analytical Models of Experimental Artefacts in an Ill-Posed Nonlinear ODE System

Andreas Henrici () and Marcello Robbiani
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Andreas Henrici: School of Engineering, Zurich University of Applied Sciences (ZHAW), 8400 Winterthur, Switzerland
Marcello Robbiani: School of Engineering, Zurich University of Applied Sciences (ZHAW), 8400 Winterthur, Switzerland

Mathematics, 2024, vol. 12, issue 23, 1-21

Abstract: We discuss different approaches for the analytical description of a mechanical system used in control theory, aiming at the analytical modelling of experimental artefacts observed in the implementation of ideal searched trajectories. Starting from an established analytical solution, we develop an alternative analytical model for this solution with minimal deviations and then extend this starting point to a more flexible toolbox that incorporates a variety of phenomena that typically occur in real implementations of this mechanical system, thus providing an important step towards bridging the gap between theoretical models and experimental reality.

Keywords: ill-posed ODE system; nonlinear pendulum; artefact removal; Hermitian splines (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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