Fault Isolation Based on Directional Residual Generation

  • Chapter
  • First Online:
Model-Based Fault Diagnosis

Abstract

This chapter studies fault isolation based on directional residual generation for continuous-time LTI systems with actuator faults. First, the directional residual generator design method is introduced for systems with fully measurable states. Second, the directional residual generator design is studied for general LTI systems, where the state variables may not be fully measured. Finally, an FDI scheme is proposed based on the directional residual generator.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Beard, R.V.: Failure accommodation in linear system through self reorganization. Ph.D. thesis, Massachusetts Institute of Technology, Massachusetts, USA (1971)

    Google Scholar 

  2. Jones, H.L.: Failure detection in linear systems. Ph.D. thesis, Massachusetts Institute of Technology, Massachusetts, USA (1973)

    Google Scholar 

  3. Massoumnia, M.-A.: A geometric approach to the synthesis of failure detection filters. IEEE Trans. Autom. Control 31(9), 839–846 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  4. White, J.P., Speyer, J.L.: Detection filter design: spectral theory and algorithms. IEEE Trans. Autom. Control 32(7), 593–603 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  5. Douglas, R.K., Speyer, J.L.: Robust fault detection filter design. J. Guid. Control. Dyn. 19(1), 214–218 (1996)

    Article  MATH  Google Scholar 

  6. Persis, C.D., Isidori, A.: On the design of fault detection filters with game-theoretic-optimal sensitivity. Int. J. Robust Nonlinear Control 12(8), 729–747 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  7. Park, J., Nizzoni, G.: A closed-form expression for the fault detection filter. In: Proceedings of 32nd IEEE Conference on Decision and Control, San Antonio, USA, pp. 259–264 (1993)

    Google Scholar 

  8. Park, J., Rizzoni, G.: An eigenstructure assignment algorithm for the design of fault detection filters. IEEE Trans. Autom. Control 39(7), 1521–1524 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  9. Chen, R.H., Speyer, J.L.: Detecting filter analysis and design using eigenstructure assignment. In: Proceedings of the 2006 American Control Conference, Minneapolis, USA, pp. 3019–3025 (2006)

    Google Scholar 

  10. Chen, J., Patton, R.J.: Robust Model-Based Fault Diagnosis for Dynamic Systems. Springer, New York (1999)

    Book  MATH  Google Scholar 

  11. Liu, B., Si, J.: Fault isolation filter design for linear time-invariant systems. IEEE Trans. Autom. Control 42(5), 704–707 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  12. Keller, J.-Y.: Fault isolation filter design for linear stochastic systems. Automatica 35(10), 1701–1706 (1999)

    Article  MATH  Google Scholar 

  13. Wang, Z., Rodrigues, M., Theilliol, D., Shen, Y.: Fault estimation filter design for discrete-time descriptor systems. IET Control Theory & Appl. 9(10), 1587–1594 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  14. Giovanini, L., Dondo, R.: A fault detection and isolation filter for discrete linear systems. ISA Trans. 42(4), 643–649 (2003)

    Article  Google Scholar 

  15. Keller, J.-Y., Sauter, D.: Restricted diagonal detection filter and updating strategy for multiple fault detection and isolation. Int. J. Adapt. Control Signal Process. 25(1), 68–87 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  16. Murray, E.A., Speyer, J.L.: A discrete-time game theoretic multiple-fault detection filter. In: Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, USA, pp. 5750–5757 (2014)

    Google Scholar 

  17. Park, J., Rizzoni, G., Ribbens, W.B.: On the representation of sensor faults in fault detection filters. Automatica 30(11), 1793–1795 (1994)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhenhua Wang .

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Wang, Z., Shen, Y. (2023). Fault Isolation Based on Directional Residual Generation. In: Model-Based Fault Diagnosis. Studies in Systems, Decision and Control, vol 221. Springer, Singapore. https://doi.org/10.1007/978-981-19-6706-1_8

Download citation

Publish with us

Policies and ethics

Navigation