Skip to main content

Mode Detection and Fault Diagnosis in Hybrid Systems

  • Chapter
  • First Online:
Fault Diagnosis of Dynamic Systems

Abstract

This chapter primarily reviews methods for online monitoring, fault detection, and fault isolation of complex hybrid systems, such as automobiles [39], aircraft [13], and spacecraft [6, 12]. Hybrid systems mix continuous behaviors with discrete mode transitions that may be attributed to configuration changes in the system, or to simplifying assumptions, where complex nonlinearities are substituted by a sequence of simpler piecewise linear behaviors [33]. As a result, mathematical models that describe hybrid system behaviors are complex, and this makes the design of hybrid diagnosers a challenging task.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    https://faultdiagnosistoolbox.github.io/.

  2. 2.

    https://rosystemresiduals.github.io/.

References

  1. Ackerson, G., Fu, K.: On state estimation in switching environments. IEEE Trans. Autom. Control 15(1), 10–17 (1970)

    Article  Google Scholar 

  2. Babaali, M., Egerstedt, M.: Observability of switched linear systems. In: International Workshop on Hybrid Systems: Computation and Control, pp. 48–63. Springer (2004)

    Google Scholar 

  3. Bayoudh, M., Travé-Massuyès, L., Olive, X.: Coupling continuous and discrete event system techniques for hybrid system diagnosability analysis. In: 18th European Conference on Artificial Intelligence, pp. 219–223, Amsterdam, The Netherlands (2008)

    Google Scholar 

  4. Bayoudh, M., Travé-Massuyès, L., Olive, X.: On-line analytic redundancy relations instantiation guided by component discrete-dynamics for a class of non-linear hybrid systems. In: 48th IEEE Conference on Decision and Control, Held Jointly with the 28th Chinese Control Conference (2009)

    Google Scholar 

  5. Bemporad, A., Morari, M.: Control of systems integrating logic, dynamics, and constraints. Automatica 35(3), 407–427 (1999)

    Article  MathSciNet  Google Scholar 

  6. Biswas, G., Khorasgani, H., Stanje, G., Dubey, A., Deb, S., Ghoshal, S.: An approach to mode and anomaly detection with spacecraft telemetry data. Int. J. Progn. Health Manag. (2016)

    Google Scholar 

  7. Biswas, G., Manders, E.J., Ramirez, J., Mahadevan, N., Abdelwahed, S.: Online model-based diagnosis to support autonomous operation of an advanced life support system. Habitat. Int. J. Hum. Support Res. 10(1), 21–38 (2004)

    Article  Google Scholar 

  8. Biswas, G., Simon, G., Mahadevan, N., Narasimhan, S., Ramirez, J., Karsai, G., et al.: A robust method for hybrid diagnosis of complex systems. In: Proceedings of the 5th Symposium on Fault Detection, Supervision and Safety for Technical Processes, pp. 1125–1131, Washington D.C., USA (2003)

    Google Scholar 

  9. Bregon, A., Alonso, C., Biswas, G., Pulido, B., Moya, N.: Hybrid systems fault diagnosis with possible conflicts. In: Proceedings of the 22nd International Workshop on Principles of Diagnosis, pp. 195–202, Murnau, Germany (2011)

    Google Scholar 

  10. Cocquempot, V., El Mezyani, T., Staroswiecki, M.: Fault detection and isolation for hybrid systems using structured parity residuals. In: 5th Asian Control conference, 2004, vol. 2, pp. 1204–1212. IEEE (2004)

    Google Scholar 

  11. Cocquempot, V., Staroswieck, M., Mezyani, T.E.: Switching time estimation and fault detection for hybrid system using structured parity residuals. In: IFAC Conference Safeprocess, pp. 2045–2055, Washington D.C., USA (2003)

    Google Scholar 

  12. Daigle, M.J., Roychoudhury, I., Biswas, G., Koutsoukos, X.D., Patterson-Hine, A., Poll, S.: A comprehensive diagnosis methodology for complex hybrid systems: a case study on spacecraft power distribution systems. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 5(40), 917–931 (2010)

    Article  Google Scholar 

  13. Derler, P., Lee, E.A., Vincentelli, A.S.: Modeling cyber-physical systems. Proc. IEEE 100(1), 13–28 (2012)

    Article  Google Scholar 

  14. Domlan, E.A., Ragot, J., Maquin, D.: Active mode estimation for switching systems. In: American Control Conference, 2007, ACC’07, pp. 1143–1148. IEEE (2007)

    Google Scholar 

  15. Flaugergues, V., Cocquempot, V., Bayart, M., Pengov, M.: Structural analysis for FDI: a modified, invertibility-based canonical decomposition. In: Proceedings of the 20th International Workshop on Principles of Diagnosis, DX09, pp. 59–66, Stockholm, Sweden (2009)

    Google Scholar 

  16. de Freitas, N., Dearden, R., Hutter, F., Morales-Menendez, R., Mutch, J., Poole, D.: Diagnosis by a waiter and a mars explorer. Proc. IEEE 92(3), 455–468 (2004). https://doi.org/10.1109/JPROC.2003.823157

    Article  Google Scholar 

  17. Frisk, E., Bregon, A., Aslund, J., Krysander, M., Pulido, B., Biswas, G.: Diagnosability analysis considering causal interpretations for differential constraints. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 42(5), 1216–1229 (2012)

    Article  Google Scholar 

  18. Frisk, E., Krysander, M., Jung, D.: A toolbox for analysis and design of model based diagnosis systems for large scale models. In: IFAC World Congress, Toulouse, France (2017)

    Article  Google Scholar 

  19. Hofbaur, M.W., Williams, B.C.: Hybrid estimation of complex systems. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 34(5), 2178–2191 (2004)

    Article  Google Scholar 

  20. Hutter, F., Dearden, R.: Efficient on-line fault diagnosis for non-linear systems. In: Proceedings of the 7th International Symposium on Artificial Intelligence, Robotics and Automation in Space (2003)

    Google Scholar 

  21. Khorasgani, H., Biswas, G.: Structural fault detection and isolation in hybrid systems. IEEE Trans. Autom. Sci. Eng. 15(4), 1585–1599 (2018). https://doi.org/10.1109/TASE.2017.2749447

    Article  Google Scholar 

  22. Khorasgani, H., Jung, D.E., Biswas, G., Frisk, E., Krysander, M.: Off-line robust residual selection using sensitivity analysis. In: International Workshop on Principles of Diagnosis (DX-14), Graz, Austria (2014)

    Google Scholar 

  23. Khorasgani, H., Jung, D.E., Biswas, G., Frisk, E., Krysander, M.: Robust residual selection for fault detection. In: IEEE 53rd Annual Conference on Decision and Control (CDC), pp. 5764–5769. IEEE, Los Angeles, CA (2014)

    Google Scholar 

  24. Korte, B., Vygen, B.K.: Combinatorial Optimization. Springer, Heidelberg (2002)

    Book  Google Scholar 

  25. Krysander, M., Aslund, J., Nyberg, M.: An efficient algorithm for finding minimal overconstrained subsystems for model-based diagnosis. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 38(1), 197–206 (2008)

    Article  Google Scholar 

  26. Levy, R., Arogeti, S.A., Wang, D.: An integrated approach to mode tracking and diagnosis of hybrid systems. IEEE Trans. Ind. Electron. 61(4), 2024–2040 (2014)

    Article  Google Scholar 

  27. Li, X.R., Bar-Shalom, Y.: Multiple-model estimation with variable structure. IEEE Trans. Autom. Control 41(4), 478–493 (1996)

    Article  MathSciNet  Google Scholar 

  28. Low, C.B.D.W., Arogeti, S., Zhang, J.B.: Causality assignment and model approximation for quantitative hybrid bond graph-based fault diagnosis. In: Proceedings of the 17th IFAC World Congress, vol. 41, pp. 10,522–10,527, Seoul, Korea (2008)

    Google Scholar 

  29. Low, C.B.D.W., Arogeti, S., Zhang, J.B.: Monitoring ability analysis and qualitative fault diagnosis using hybrid bond graph. In: Proceedings of the 17th IFAC World Congress, vol. 41, pp. 10,516–10,521, Seoul, Korea (2008)

    Google Scholar 

  30. Mazor, E., Averbuch, A., Bar-Shalom, Y., Dayan, J.: Interacting multiple model methods in target tracking: a survey. IEEE Trans. Aerosp. Electron. Syst. 34(1), 103–123 (1998)

    Article  Google Scholar 

  31. de Mortain, F., Subias, A., Travé-Massuyès, L., de Flaugergues, V.: Towards active diagnosis of hybrid systems leveraging multimodel identification and a markov decision process. IFAC-PapersOnLine 48(21), 171–176 (2015)

    Article  Google Scholar 

  32. Mosterman, P.J.: An overview of hybrid simulation phenomena and their support by simulation packages. In: International Workshop on Hybrid Systems: Computation and Control, pp. 165–177. Springer, Berg en Dal, The Netherlands (1999)

    Chapter  Google Scholar 

  33. Mosterman, P.J., Biswas, G.: A theory of discontinuities in physical system models. J. Frankl. Inst. 335(3), 401–439 (1998)

    Article  Google Scholar 

  34. Narasimhan, S., Biswas, G.: Model-based diagnosis of hybrid systems. IEEE Trans. Syst. Man Cybern. Part A 27(3), 348–361 (2007)

    Article  Google Scholar 

  35. Narasimhan, S., Brownston, L.: HyDE-a general framework for stochastic and hybrid model based diagnosis. Proc. DX 7, 162–169 (2007)

    Google Scholar 

  36. Petzold, L.R., Ascher, U.M.: Computer methods for ordinary differential equations and differential-algebraic equations. SIAM (1998)

    Google Scholar 

  37. Pulido, B., González, C.A.: Possible conflicts: a compilation technique for consistency-based diagnosis. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 34(5), 2192–2206 (2004)

    Article  Google Scholar 

  38. Sampath, M., Sengupta, R., Lafortune, S., Sinnamohideen, K., Teneketzis, D.C.: Failure diagnosis using discrete-event models. IEEE Trans. Control Syst. Technol. 4(2), 105–124 (1996)

    Article  Google Scholar 

  39. Torrisi, F.D., Bemporad, A.: HYSDEL-a tool for generating computational hybrid models for analysis and synthesis problems. IEEE Trans. Control Syst. Technol. 12(2), 235–249 (2004)

    Article  Google Scholar 

  40. Travé-Massuyes, L., Escobet, T., Olive, X.: Diagnosability analysis based on component-supported analytical redundancy relations. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 36(6), 1146–1160 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gautam Biswas .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Khorasgani, H., Biswas, G. (2019). Mode Detection and Fault Diagnosis in Hybrid Systems. In: Escobet, T., Bregon, A., Pulido, B., Puig, V. (eds) Fault Diagnosis of Dynamic Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-17728-7_13

Download citation

Publish with us

Policies and ethics