Stable Adaptive Co-simulation: A Switched Systems Approach

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  • Claudio Gomes
  • Benoit Legat, Université Catholique de Louvain
  • ,
  • Raphaël M. Jungers, Flanders Make
  • ,
  • Hans Vangheluwe, University of Antwerp, Antwerp, Flanders Make, McGill University

Co-simulation promotes the idea that domain specific simulation tools should cooperate in order to simulate the inter-domain interactions that are often observed in complex systems. To get trustworthy results, it is important that this technique preserves the stability properties of the original system. In this paper, we show how to preserve stability for adaptive co-simulation schemes, which offer fine grained control over the performance/accuracy of the co-simulation. To this end, we apply the joint spectral radius theory to certify that an adaptive co-simulation scheme is stable, and, if that is not possible, we use recent results in this field to create a trace of decisions that lead to instability. With this trace, it is possible to adjust the adaptive co-simulation in order to make it stable. Our approach is limited by the fact that computing the joint spectral radius is NP-Hard and undecidable in general. Nevertheless, we successfully applied our results to the co-simulation of a double mass-spring-damper system.

OriginalsprogEngelsk
TitelIUTAM Symposium on Solver-Coupling and Co-Simulation : Proceedings of the IUTAM Symposium on Solver-Coupling and Co-Simulation, Darmstadt, Germany, September 18-20, 2017
RedaktørerBernhard Schweizer
Antal sider17
ForlagSpringer Cham
Udgivelsesår15 maj 2019
Sider81-97
ISBN (trykt)978-3-030-14882-9
ISBN (Elektronisk)978-3-030-14883-6
DOI
StatusUdgivet - 15 maj 2019
Eksternt udgivetJa
SerietitelIUTAM Bookseries
Vol/bind35

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