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Hybrid Bond-Graph Possible Conflicts for Hybrid Systems Fault Diagnosis

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Abstract

Nowadays hybrid systems are everywhere: vehicles, planes, electronic devices, industrial factories, and so on. All these systems exhibit different behavior patterns depending on the actual operation mode. In this work we propose a framework for fault diagnosis of those dynamic systems characterized by continuous behavior commanded by discrete actuators such as valves, bypasses, relays, etc.

One main difficulty in reasoning about hybrid systems is state tracking because we need to distinguish between healthy and faulty states during mode changes. Moreover, there are two kinds of faults in a hybrid system: discrete and parametric. Discrete faults are related to faults in actuators and usually introduce great discontinuities in system dynamics. Parametric faults are related to tear and wear and their effects exhibit slower dynamics.

Our proposal is to use Hybrid Bond-Graphs to extend the model-based diagnosis technique based on the Possible Conflict concept for hybrid systems. Main advantage of the approach is that the complete enumeration of the system operation modes is not necessary.

In this work we will completely characterize Hybrid Bond-Graph Possible Conflicts and provide a unified diagnosis framework for discrete and parametric faults based on tracking the behavior of several subsystems determined by Hybrid Bond-Graphs Possible Conflicts. We will show the technique effectiveness to diagnose both kinds of faults in a complex simulation system made up of four interconnected tanks.

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Notes

  1. 1.

    Frequently known also as the FDI and the DX communities, respectively.

  2. 2.

    Causality in a bond represents how the underlying equation is solved, i.e. which variable is dependent upon the rest of variables in the equation.

  3. 3.

    A VCA provides a causal assignment for every bond in the BG/HBG model.

  4. 4.

    Exceptionally some degenerated subsystems can appear, but they had no interest for diagnosis purposes.

  5. 5.

    Exceptions to this behavior may happen if there are non-parametric flow or effort paths in the BG from sources to sensors.

  6. 6.

    Otherwise there would be parts of the system that will be never used, or there is no need for such sw in the model.

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Acknowledgements

This work has been supported by Spanish MINECO under DPI2013-45414-R grant. The authors would like to thank Noemi Moya Alonso for her contribution on the preliminary stages of this work, particularly the early HPCs characterization, and Alberto Hernández for the implementation of the SHBG-PCs algorithms. First author wants to thank E. Martinez for the colors and the drive.

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Correspondence to Carlos J. Alonso-González .

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Alonso-González, C.J., Pulido, B., Bregon, A. (2018). Hybrid Bond-Graph Possible Conflicts for Hybrid Systems Fault Diagnosis. In: Sayed-Mouchaweh, M. (eds) Fault Diagnosis of Hybrid Dynamic and Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-74014-0_6

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  • DOI: https://doi.org/10.1007/978-3-319-74014-0_6

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