Skip to main content

Innovation generation for bilinear systems with unknown inputs

  • Part III Fault Detection And Isolation
  • Conference paper
  • First Online:
New Directions in nonlinear observer design

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 244))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Basseville. On-board component fault detection and isolation using the statistical local approach. Automatica, 34(11), pp. 1391–1415, 1998.

    Article  MATH  Google Scholar 

  2. M. Basseville and I.V. Nikiforov. Detection of Abrupt Changes, Theory and Application, Prentice-Hall, Englewood Cliffs, N.J., 1993.

    Google Scholar 

  3. M. Basseville and A. Benveniste. Design and comparative study of some sequential jump detection algorithms for digital signals. IEEE Trans. Acoustics, Speech and Signal Processing, ASSP-31(3), pp. 521–535, 1983.

    Article  Google Scholar 

  4. G. Besançon and H. Hammouri. On uniform observation of non-uniformly observable systems. Systems and Control Letters, 29(1), pp. 9–19, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Bornard, N. Couenne and F. Celle. Regularly persistent observers for bilinear systems. in New Trends in Nonlinear Control Theory, Lecture Notes in Control and Information Science, 122, Springer-Verlag, pp. 130–140, 1988.

    Google Scholar 

  6. Dolanc G., D. Juricic, A. Rakar, J. Petrovcic and D. Vrancic. Three-tank benchmark test. Report COPL007R for Copernicus Project CT94-0237, 1997.

    Google Scholar 

  7. L. El Bahir and M. Kinnaert. Fault detection and isolation for a three tank system based on a bilinear model of the supervised process. Proceedings of the UKACC International Conference on CONTROL'98, pp. 1486–1491, 1998.

    Google Scholar 

  8. G. C. Goodwin and K.S. Sin. Adaptive Filtering Prediction and Control, Prentice-Hall, 1994, page 251.

    Google Scholar 

  9. H. Hammouri, M. Kinnaert and E.H. El Yaagoubi. Residual generator synthesis for bilinear systems up to output injection. Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, December 14–16, pp. 1548–1553, 1994.

    Google Scholar 

  10. H. Hammouri, M. Kinnaert and E.H. El Yaagoubi. Fault detection and isolation for state affine systems. European Journal of Control, 4, pp. 2–16, 1998.

    MATH  Google Scholar 

  11. S. Hara and K. Furuta. Minimal order state observers for bilinear systems. International Journal of Control, 24(5), pp. 705–718, 1976.

    Article  MATH  MathSciNet  Google Scholar 

  12. A. H. Jazwinski. Stochastic Processes and Filtering Theory, Academic Press, 1970, page 240.

    Google Scholar 

  13. M. Kinnaert. Robust fault detection based on observers for bilinear systems. Internal Report. Université Libre de Bruxelles, 1998.

    Google Scholar 

  14. M. Kinnaert, Y. Peng and H. Hammouri. The fundamantal problem of residual generation for bilinear systems up to output injection. Proceedings of the 3rd European Control Conference, pp. 3777–3782, 1995.

    Google Scholar 

  15. C. Mechmeche, S. Nowakowski and M. Darouach. A failure detection procedure for bilinear systems based on a new formulation of unknown input bilinear observers. Proc. of SAFEPROCESS'94, pp. 64–68, 1994.

    Google Scholar 

  16. R. Nikoukhah. Innovation generation in the presence of unknown inputs: application to robust failure detection. Automatica, 30(12), pp. 1851–1867, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  17. R. J. Patton and Jie Chen. Optimal unknown input distribution matrix selection in robust fault diagnosis. Automatica, 29(4), pp. 837–841, 1993.

    Article  MATH  Google Scholar 

  18. A. S. Willsky and H.L. Jones. A generalized likelihood ratio approach to the detection and estimation of jumps in linear systems. IEEE Trans. Automatic Control, AC-21, pp. 108–112, 1976.

    Article  MathSciNet  Google Scholar 

  19. H. Yang and M. Saif. State observation, failure detection and isolation (FDI) in bilinear systems. Proc. of the 34th IEEE Conference on Decision and Control, pp. 2391–2396, 1995.

    Google Scholar 

  20. D. Yu and D.N. Shields. A bilinear fault detection observer. Automatica, 32(11), pp. 1597–1602, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  21. D. Yu, D.N. Shields and S. Daley. A bilinear fault detection observer and its application to a hydraulic drive system. Int. J. Control, 64(6), pp. 1023–1047, 1996.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Nijmeijer T.I. Fossen

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag London Limited

About this paper

Cite this paper

Kinnaert, M., El Bahir, L. (1999). Innovation generation for bilinear systems with unknown inputs. In: Nijmeijer, H., Fossen, T. (eds) New Directions in nonlinear observer design. Lecture Notes in Control and Information Sciences, vol 244. Springer, London. https://doi.org/10.1007/BFb0109939

Download citation

  • DOI: https://doi.org/10.1007/BFb0109939

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-134-4

  • Online ISBN: 978-1-84628-536-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics