Skip to main content

Sliding Mode Observers for Fault Estimation in Multisensor Avionics Systems

  • Conference paper

Abstract

The paper addresses the problem of sensor fault estimation in avionics multisensor systems. Under the assumption of system strong observability, sliding mode observers are designed to estimate the faults in finite time and in the presence of bounded disturbances. It is shown that the fault estimation error is bounded in the L  ∞ -norm sense, and an upper bound is theoretically derived. The method is applied to the problem of sensor fault estimation of a large transport aircraft. Simulation results as well as a pilot experiment are presented to demonstrate the potential of the proposed method.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   219.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Berdjag, D., Cieslak, J., Zolghadri, A.: Fault diagnosis and monitoring of oscillatory failure case in aircraft inertial system. Control Engineering Practice 20, 1410–1425 (2012)

    Article  Google Scholar 

  2. Allerton, D., Jia, H.: Distributed data fusion algorithms for inertial network systems. IET Radar, Sonar and Navigation 2, 51–62 (2008)

    Article  Google Scholar 

  3. Henry, D., Cieslak, J., Zolghadri, A., Efimov, D.: A non-conservative H  − /H  ∞  solution for early and robust fault diagnosis in aircraft control surface servo-loops. Control Engineering Practice 31, 183–199 (2014)

    Article  Google Scholar 

  4. Oosterom, M., Babuska, R., Verbruggen, H.: Soft computing applications in aircraft sensor management and flight control law reconfiguration. IEEE Transactions on Systems Man, and Cybernetics, Part C (Applications and Reviews) 32, 125–139 (2008)

    Article  Google Scholar 

  5. Hegg, J.: Enhanced space integrated GPS/INS (SIGI). IEEE Aerospace and Electronic Systems Magazine 17, 26–33 (2002)

    Article  Google Scholar 

  6. Zolghadri, A., Henry, D., Cieslak, J., Efimov, D., Goupil, P.: Fault Diagnosis and Fault-Tolerant Control and Guidance for Aerospace Vehicles: From theory to application. Series: Advances in Industrial Control. Springer (2014) ISBN 978-1-4471-5312-2

    Google Scholar 

  7. Balaban, E., Saxena, A., Bansal, P., Goebel, K., Curran, S.: Modeling, detection, and disambiguation of sensor faults for aerospace applications. IEEE Sensors Journal 9, 1907–1917 (2009)

    Article  Google Scholar 

  8. Tan, C.P., Edwards, C.: Sliding mode observers for detection and reconstruction of sensor faults. Automatica 38, 1815 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. Utkin, V.I.: Sliding modes in control and optimization. Springer, Berlin (1992)

    Book  MATH  Google Scholar 

  10. Levant, A.: Higher-order sliding modes, differentiation and output-feedback control. International Journal of Control 76, 924–941 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  11. Ferrara, A., Pisu, P.: Minimum sensor second-order sliding mode longitudinal control of passenger vehicles. IEEE Transactions on Intelligent Transportation 5, 20–32 (2004)

    Article  Google Scholar 

  12. Cieslak, J., Efimov, D., Zolghadri, A., Henry, D., Goupil, P.: Design of a non-homogeneous differentiator for actuator oscillatory failure case reconstruction in noisy environment. Proc. IMechE Part I: J. Systems and Control Engineering (2014), doi:10.1177/0959651814561091

    Google Scholar 

  13. Imine, H., Madani, T., Srairi, S.: High order sliding mode observer to estimate vertical forces: experimental results. In: 11th International IEEE Conf. on Intelligent Transportation Systems, pp. 523–527 (2008)

    Google Scholar 

  14. Edwards, C., Tan, C.P.: Sensor fault tolerant control using sliding mode observers. Control Engineering Practice 14, 897–908 (2006)

    Article  Google Scholar 

  15. Fridman, L., Levant, A., Davila, J.: Observation of linear systems with unknown inputs via high-order sliding-modes. International Journal of Systems Science 38, 773–791 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  16. Bejarano, F., Fridman, L.: Output integral sliding mode control based on algebraic hierarchical observer. International Journal of Control 9, 1920–1929 (2010)

    Article  MathSciNet  Google Scholar 

  17. Fridman, L., Davila, J., Levant, A.: High-order sliding-mode observation for linear systems with unknown inputs. Nonlinear Analysis: Hybrid Systems 5(2), 189–205 (2011)

    MATH  MathSciNet  Google Scholar 

  18. Kolmogorov, A.N.: On inequalities between upper bounds of consecutive derivatives of an arbitrary function defined on an infinite interval. American Mathematical Society Translations, 233–242 (1962)

    Google Scholar 

  19. Bejarano, F., Figueroa, M., Pacheco, J., Rubio, J.D.J.: Robust fault diagnosis of disturbed linear systems via a sliding mode high order differentiator. International Journal of Control 85, 648–659 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  20. Levant, A.: Non-homogeneous finite-time convergent differentiator. In: Proc. of the Conference on Decision and Control, pp. 8399–8404 (2009)

    Google Scholar 

  21. Edwards, C., Lombaerts, T., Smaili, H.: Fault Tolerant Flight Control: A Benchmark Challenge. Springer (2010)

    Google Scholar 

  22. Alwi, H., Edwards, C., Tan, C.: Sliding mode observers for detection and reconstruction of sensor faults. Automatica 45, 1679–1685 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  23. Fridman, L., Levant, A., Davila, J.: Observation of linear systems with unknown inputs via high-order sliding-modes. Int. J. System Science 38(10), 773–791 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  24. Bejarano, F., Fridman, L., Poznyak, A.: Exact state estimation for linear systems with unknown inputs based on hierarchical super-twisting algorithm. Intern. J. of Robust and Nonlinear Control 17, 1734–1753 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  25. Molinari, B.P.: A strong controllability and observability in linear multivariable control. IEEE Transactions on Automatic Control 21, 761–764 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  26. Van Der Linden, C.: DASMAT-Delft university aircraft simulation model and analysis tool. Report LR-781 Technical University Delft (1996)

    Google Scholar 

  27. Goupil, P., Marcos, A.: The european addsafe project: Industrial and academic efforts towards advanced fault diagnosis. Control Engineering Practice (2014)

    Google Scholar 

  28. Cieslak, J., Henry, D., Zolghadri, A.: Fault tolerant flight control: from theory to piloted flight simulator experiments. IET Control Theory and Applications 4, 1451–1464 (2010)

    Article  Google Scholar 

  29. Cieslak, J., Henry, D., Zolghadri, A., Goupil, P.: Development of an active fault-tolerant flight control strategy. Journal of Guidance, Control and Dynamics 31, 135–147 (2008)

    Article  Google Scholar 

  30. Basseville, M., Nikiforov, I.: Detection of abrupt changes. Theory and application. Prentice Hall Information and System Sciences Series (1993)

    Google Scholar 

  31. Stroosma, O., Van Paassen, M., Mulder, M.: Using the simona research simulator for humanmachine interaction research. In: AIAA Modeling and Simulation Technologies Conf. (2003)

    Google Scholar 

  32. Koekebakker, S.: Model based control of a flight simulator motion base, Delft, Netherlands (2001)

    Google Scholar 

  33. Berkouwer, W., Stroosma, O., Van Paassen, M., Mulder, M., Mulder, J.: Measuring the performance of the simona research simulators motion system. In: AIAA Modeling and Simulation Conf. (2005)

    Google Scholar 

  34. Stroosma, O., Smaili, H., Mulder, J.: Pilot-in-the-loop evaluation of fault-tolerant flight control systems. In: SAFEPROCESS 2009 (2009)

    Google Scholar 

  35. Ferreira de Loza, A., Cieslak, J., Henry, D., Dávila, J., Zolghadri, A.: Sensor fault diagnosis using a non-homogeneous high-order sliding mode observer with application to a transport aircraft. IET Control Theory and Applications (2015), doi:10.1049/iet-cta.2014.0226

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jérome Cieslak .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Cieslak, J., de Loza, A.F., Henry, D., Dávila, J., Zolghadri, A. (2015). Sliding Mode Observers for Fault Estimation in Multisensor Avionics Systems. In: Bordeneuve-Guibé, J., Drouin, A., Roos, C. (eds) Advances in Aerospace Guidance, Navigation and Control. Springer, Cham. https://doi.org/10.1007/978-3-319-17518-8_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-17518-8_19

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17517-1

  • Online ISBN: 978-3-319-17518-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics