Conference article

Relative Consistency and Robust Stability Measures for Sequential Co-simulation

Slaven Glumac
AVL-AST d.o.o., Croatia

Zdenko Kovacic
University of Zagreb Faculty of Electrical Engineering and Computing, Croatia

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

Linköping Electronic Conference Proceedings 157:20, p. 10

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Published: 2019-02-01

ISBN: 978-91-7685-122-7

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


The paper introduces a matrix co-simulation model of linear time invariant differential equations using general linear methods. This model is used to develop a calculation of relative consistency measure based on worst case defect calculation. It is shown how a robust stability measurement based on spectral radius can be used to measure robustness to slave parameter changes. Both consistency and stability measurements are calculated based on the linear model, and can be calculated prior to the co-simulation run. Finally, multi-objective optimization has been proposed to utilize introduced measurements for tuning the co-simulation master.


co-simulation, master, robust stability, relative consistency, multi-objective optimization


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