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N. Didcock, S. Jakubek, C. Hametner, H. Altenstrasser, A. Dragoti, N. Keuth:
"Lookup Table Optimisation For Engineering Applications";
Talk: 8th Conference Design of Experiments (DoE) in Powertrain Development, Berlin; 2015-06-11 - 2015-06-12; in: "Design of Experiments (DoE) in Engine Developement", K. Röpke, C. Gühmann (ed.); Expert Verlag, 8/Renningen, Deutschland (2015), ISBN: 978-3-8169-3316-8; 11 pages.

In engineering, the creation of lookup tables allows to model nonlinear dependencies of control variables on state variables or operating points. For example, in engine calibration, these tables have to be computed when complex model structures are adapted to fit measurement data, or global emission models are optimised with re-spect to the operating space. This paper discusses the thin plate model as a dimen-sion reduction technique for the creation of smooth lookup tables in arbitrary dimen-sions. Here, a continuous lookup table is modeled as the deformation of a thin plate after the application of a discrete number of forces at selected locations. Optimal control maps are described by polyharmonic differential equations. Thereby, the maps can comply with boundary constraints, which is important for engineering ap-plications. The methodology is demonstrated to perform well in the context of func-tion optimisation as well as the parametric optimisation of global emission models.

Parametric Optimisation, Physical Models, Lookup Tables