Dynamic Parameter Sensitivities: Summary of Computation Methods for Continuous-time Modelica Models

Atiyah Elsheikh
Mathemodica.com, Egypt & Germany

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp19157795

Ingår i: Proceedings of the 13th International Modelica Conference, Regensburg, Germany, March 4–6, 2019

Linköping Electronic Conference Proceedings 157:83, s. 10

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Publicerad: 2019-02-01

ISBN: 978-91-7685-122-7

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


Applications of Sensitivity Analysis (SA) encouraged several Modelica platforms to independently provide facilities for externally computing Dynamic Parameter Sensitivities (DPS). FMI specifies an optional function call for evaluating directional derivatives. On the other hand, mathematical foundation for uniform representation of DPS at the Modelica language level has been established. This has resulted in a platform-independent approach demonstrated through example libraries. The paper neutrally hints that already conducted efforts may converge to the integration of language facilities for DPS without neglecting to mention many mathematical difficulties. Surprisingly, many of what could be thought to be algorithmic obstacles have intuitive solutions along a minimalist implementation approach.


algorithmic differentiation, parameter sensitivities, sensitivity analysis


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