TOPAS Model Fitting: A Tool for Parameter Identification of Dynamical Systems

Marek Wiesner (), Kai Schäfer, Petr Shulpyakov and Christof Büskens
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Marek Wiesner: University of Bremen, Center for Industrial Mathematics
Kai Schäfer: TOPAS Industriemathematik Innovation gGmbH
Petr Shulpyakov: TOPAS Industriemathematik Innovation gGmbH
Christof Büskens: University of Bremen, Center for Industrial Mathematics

Chapter Chapter 26 in Operations Research Proceedings 2023, 2025, pp 201-207 from Springer

Abstract: Abstract The identification of parameters within dynamical systems using measurements is a well-understood but effortful endeavor. To simplify the required steps, we present TOPAS Model Fitting, a software that covers aspects such as measurement preprocessing, optimization-based parameter identification, and post-optimal system simulation in a user-friendly, graphical interface-based way. The tool provides established methods such as single and multiple shooting, full discretization, and gradient matching. In this paper, they are applied to an extensive set of test problems. As only their default configurations are used, the results demonstrate the tool’s ability to solve a wide range of problems. They reveal that multiple shooting and full discretization are to be preferred, while the necessity of deploying multiple methods also becomes evident.

Keywords: Parameter identification; Model fitting software; Optimization with dynamical systems (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-58405-3_26

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