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Reachability analysis of FMI models using data-driven dynamic sensitivity.

Sergiy Bogomolov1, Cláudio Gomes2, Carlos Isasa2

  • 1School of Computing, Newcastle University, UK.

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Summary
This summary is machine-generated.

This study introduces simulation-based methods for digital twin reachability analysis, enhancing system design and operation. The techniques provide accurate, probabilistic guarantees for black-box models, improving dependability in complex systems.

Keywords:
Functional Mock-up InterfaceLipschitz constantReachability analysisdigital twinsdynamic sensitivity equations

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Area of Science:

  • * Computational Science and Engineering
  • * Systems Engineering and Control Theory

Background:

  • * Digital twins require dependable digital models for real-time cyber-physical system coupling.
  • * Realistic systems use multiple subsystem models, often as black-box models like those from the Functional Mock-up Interface (FMI) standard.
  • * Verifying and analyzing these black-box models is crucial for dependable system design and operation.

Purpose of the Study:

  • * To develop and evaluate simulation-based techniques for the reachability analysis of black-box models.
  • * To provide methods that offer probabilistic guarantees on the accuracy of computed reachable states.
  • * To enable selection of analysis techniques based on available model information and desired trade-offs.

Main Methods:

  • * Proposed two simulation-based reachability analysis techniques for black-box models.
  • * Technique 1: System dynamics-based analysis.
  • * Technique 2: Dynamic sensitivity analysis to improve result quality and scalability.

Main Results:

  • * Developed algorithms accurately compute reachable sets for linear systems (stable and unstable).
  • * Dynamic sensitivity approach offers scalability with system dimensions.
  • * Sampling-based method provides a flexible accuracy-runtime trade-off.
  • * Promising results demonstrated for nonlinear systems, including larger, complex ones.

Conclusions:

  • * The proposed simulation-based reachability analysis techniques enhance the dependability of digital twin models.
  • * These methods provide valuable tools for analyzing black-box models in complex systems.
  • * The techniques offer practical solutions for improving system design and operational intelligence.