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Modelling and Diagnosis of Hybrid Dynamic Systems by a Multi-Model Approach

Received: 22 January 2024     Accepted: 5 February 2024     Published: 31 July 2024
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Abstract

Fault diagnosis is an essential task in ensuring the smooth operation of complex dynamic systems. The consequences of faults can be serious, leading to loss of life, harmful emissions to the environment, high repair costs and economic losses caused by unplanned production line stoppages. The work developed in this paper concerns the modeling and diagnosis of faults (sensor faults, system faults, actuator faults) in hybrid dynamic systems using our multi-model approach (which combines two sub-models, one continuous and the other discrete). The aim is to integrate three well-known tools in the literature: the Bond Graph, the Observer and the Timed Automata, to design a global diagnostic model. The hybrid dynamic system is modeled by connecting the tools for the continuous part, i.e. the bond graph and the observer, to the timed automata for the discrete part. The resulting model is used for fault diagnosis in two stages: The first is fault detection by analyzing the residuals generated by the system output and that of the observer. The second step involves fault localization, which results from analysis of the signature matrix and temporal identification of the system. The proposed method combines the advantages of these tools to obtain the best performance, particularly in the fault location phase. The simulation results prove the effectiveness of the proposed model for the hybrid dynamic system. Moreover, these results also evaluate the performance of the proposed diagnostic approach while reducing non-detections, detection delays and false alarms.

Published in International Journal of Mechanical Engineering and Applications (Volume 12, Issue 3)
DOI 10.11648/j.ijmea.20241203.11
Page(s) 59-70
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Hybrid Dynamical System, Fault Diagnosis, Bond Graph, Observer, Timed Automata, Multi-Model Approach

References
[1] Meseguer, J., Puig, V., & Escobet, T. Fault diagnosis using a timed discrete-event approach based on interval observers: application to Sewer Networks. IEEE Transaction on systems, man, and cybernetics-Part A: Systems and Humans, vol. 40, no. 5, pp. 900-916, 2010.
[2] Daigle, M. J., Roychoudhury, I., Biswas, G., Koutsoukos, D. X, Patterson-Hine, A., & Poll, S. A comprehensive diagnosis methodology for complex hybrid systems: a case study on spacecraft power distribution systems. IEEE Transaction on Systems, Man, and Cybernetics-Part A: Systems and Humains, vol. 40, no. 5, pp. 917-931, 2010.
[3] GAO, Zhiwei, CECATI, Carlo, et DING, Steven X. A survey of fault diagnosis and fault-tolerant techniques—Part I: Fault diagnosis with model-based and signal-based approaches. IEEE transactions on industrial electronics, 2015, vol. 62, no 6, p. 3757-3767.
[4] CAI, Baoping, HUANG, Lei, et XIE, Min. Bayesian networks in fault diagnosis. IEEE Transactions on industrial informatics, 2017, vol. 13, no 5, p. 2227-2240.
[5] MUKHERJEE, Amalendu, KARMAKAR, Ranjit, et SAMANTARAY, Arun Kumar. Bond graph in modeling, simulation and fault identification. New Delhi: IK International, 2006.
[6] BORUTZKY, Wolfgang. Bond graph modelling for control, fault diagnosis and failure prognosis. Springer, 2021.
[7] Jiang, T., Khorasani, K., and Tafazoli, S. Parameter estimation-based fault detection, isolation and recovery for nonlinear satellite models. IEEE Transactions on control systems technology, vol. 16, no: 4, pp. 799-808, 2008.
[8] Iqbal, M., Bhatti, A. I., Iqbal, S., and Khan, Q. Parameter estimation based fault diagnostic of uncertain nonlinear three tank system using HOSM differentiator observer. The 13th International Multitopic Conference, Islamabad, Pakistan, 2009.
[9] Ljung, L. System identification: Theory for the User. PTR Prentice Hall Information and Systems Sciences Series Thomas Kailath, Series Editor, 1999.
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[13] Izadian, A., & Khayyer, P. Application of Kalman in model-based fault diagnosis of a DC-DC boost converter. 36th Annual conference of IEEE Industrial Electronics, Glendale, AZ, USA, 2010.
[14] Chen, J. and R. J. Patton. Robust Model-based Fault Diagnosis for Dynamic Systems. Kluwer Academic Publishers, 1999.
[15] Patton, R. J. Fault Tolerant Control: The 1997 Situation. IFAC Safeprocess’97, August 26-28, pp. 1033–1055, Hull, United Kingdom, 1997.
[16] García, E. A. and P. M. Frank. Deterministic Nonlinear Observer-Based Approaches to Fault Diagnosis: A Survey. Control Engineering Practice, 5(5), pp. 663–760, 1997.
[17] Frank, P. M. Analytical and Qualitative Model-based Fault Diagnosis - A Survey and Some New Results. European Journal of Control, 2(1), pp. 6–28, 1996.
[18] Nijmeijer, H. and T. I. Fossen. New Directions in Nonlinear Observer Design, Springer-Verlag. London, 1999.
[19] Zhang, Q. A new residual generation and evaluation method for detection and isolation of faults in non-linear systems. International Journal of Adaptive Control and Signal Processing, 14, pp. 759-773, 2000.
[20] Tripakis, S. Fault diagnosis for timed automata. The 7th International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems, FTRTFT’02, Springer-Verlag, London, UK, ISBN 3-540-44165-4, Vol. 2469, pp. 205–224, September, 2002.
[21] MOREIRA, M., ARAUJO, Anna Carla, et LANDON, Yann. Timed automaton models for fault diagnosis of the drilling process on a CNC machine. In: Controlo 2022: 15th APCA International Conference on Automatic Control and Soft Computing. 2022.
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Cite This Article
  • APA Style

    Maaref, B., Dhouibi, H., Simeu-Abazi, Z., Messaoud, H. (2024). Modelling and Diagnosis of Hybrid Dynamic Systems by a Multi-Model Approach. International Journal of Mechanical Engineering and Applications, 12(3), 59-70. https://doi.org/10.11648/j.ijmea.20241203.11

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    ACS Style

    Maaref, B.; Dhouibi, H.; Simeu-Abazi, Z.; Messaoud, H. Modelling and Diagnosis of Hybrid Dynamic Systems by a Multi-Model Approach. Int. J. Mech. Eng. Appl. 2024, 12(3), 59-70. doi: 10.11648/j.ijmea.20241203.11

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    AMA Style

    Maaref B, Dhouibi H, Simeu-Abazi Z, Messaoud H. Modelling and Diagnosis of Hybrid Dynamic Systems by a Multi-Model Approach. Int J Mech Eng Appl. 2024;12(3):59-70. doi: 10.11648/j.ijmea.20241203.11

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  • @article{10.11648/j.ijmea.20241203.11,
      author = {Bochra Maaref and Hedi Dhouibi and Zineb Simeu-Abazi and Hassani Messaoud},
      title = {Modelling and Diagnosis of Hybrid Dynamic Systems by a Multi-Model Approach
    },
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {12},
      number = {3},
      pages = {59-70},
      doi = {10.11648/j.ijmea.20241203.11},
      url = {https://doi.org/10.11648/j.ijmea.20241203.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20241203.11},
      abstract = {Fault diagnosis is an essential task in ensuring the smooth operation of complex dynamic systems. The consequences of faults can be serious, leading to loss of life, harmful emissions to the environment, high repair costs and economic losses caused by unplanned production line stoppages. The work developed in this paper concerns the modeling and diagnosis of faults (sensor faults, system faults, actuator faults) in hybrid dynamic systems using our multi-model approach (which combines two sub-models, one continuous and the other discrete). The aim is to integrate three well-known tools in the literature: the Bond Graph, the Observer and the Timed Automata, to design a global diagnostic model. The hybrid dynamic system is modeled by connecting the tools for the continuous part, i.e. the bond graph and the observer, to the timed automata for the discrete part. The resulting model is used for fault diagnosis in two stages: The first is fault detection by analyzing the residuals generated by the system output and that of the observer. The second step involves fault localization, which results from analysis of the signature matrix and temporal identification of the system. The proposed method combines the advantages of these tools to obtain the best performance, particularly in the fault location phase. The simulation results prove the effectiveness of the proposed model for the hybrid dynamic system. Moreover, these results also evaluate the performance of the proposed diagnostic approach while reducing non-detections, detection delays and false alarms.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Modelling and Diagnosis of Hybrid Dynamic Systems by a Multi-Model Approach
    
    AU  - Bochra Maaref
    AU  - Hedi Dhouibi
    AU  - Zineb Simeu-Abazi
    AU  - Hassani Messaoud
    Y1  - 2024/07/31
    PY  - 2024
    N1  - https://doi.org/10.11648/j.ijmea.20241203.11
    DO  - 10.11648/j.ijmea.20241203.11
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 59
    EP  - 70
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20241203.11
    AB  - Fault diagnosis is an essential task in ensuring the smooth operation of complex dynamic systems. The consequences of faults can be serious, leading to loss of life, harmful emissions to the environment, high repair costs and economic losses caused by unplanned production line stoppages. The work developed in this paper concerns the modeling and diagnosis of faults (sensor faults, system faults, actuator faults) in hybrid dynamic systems using our multi-model approach (which combines two sub-models, one continuous and the other discrete). The aim is to integrate three well-known tools in the literature: the Bond Graph, the Observer and the Timed Automata, to design a global diagnostic model. The hybrid dynamic system is modeled by connecting the tools for the continuous part, i.e. the bond graph and the observer, to the timed automata for the discrete part. The resulting model is used for fault diagnosis in two stages: The first is fault detection by analyzing the residuals generated by the system output and that of the observer. The second step involves fault localization, which results from analysis of the signature matrix and temporal identification of the system. The proposed method combines the advantages of these tools to obtain the best performance, particularly in the fault location phase. The simulation results prove the effectiveness of the proposed model for the hybrid dynamic system. Moreover, these results also evaluate the performance of the proposed diagnostic approach while reducing non-detections, detection delays and false alarms.
    
    VL  - 12
    IS  - 3
    ER  - 

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Author Information
  • Department of Electrical Engineering, National Engineering School of Monastir, Monastir, Tunisiain

  • Department of Electrical Engineering, National Engineering School of Monastir, Monastir, Tunisiain

  • Grenoble Institute of Technology, Joseph Fourier University, Grenoble, France

  • Department of Electrical Engineering, National Engineering School of Monastir, Monastir, Tunisiain

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