Fault Tolerant \(\mathcal{L}{}_{1}\) Adaptive Control Based on Degraded Models

  • Toufik SouanefEmail author
  • Walter Fichter


This paper proposes a method for fault tolerant control. The design is based on an \(\mathcal{L}{}_{1}\) adaptive controller with a nominal reference model and a set of degraded reference models. In a degraded model the criteria of stability margins and performance bounds are reduced. The simulation results, for the altitude hold control of a small fixed-wing UAV, show good compromise between performance and robustness against faults and large uncertainties.


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  1. 1.
  2. 2.
    Bodson, M.: Reconfigurable nonlinear autopilot. Journal of guidance, control, and dynamics 26(5), 719–727 (2003)CrossRefGoogle Scholar
  3. 3.
    Chowdhary, G., Johnson, E.N., Chandramohan, R., Kimbrell, M.S., Calise, A.: Guidance and Control of Airplanes Under Actuator Failures and Severe Structural Damage. Journal of Guidance, Control, and Dynamics 36(4), 1093–1104 (2013)CrossRefGoogle Scholar
  4. 4.
    Dobrokhodov, V., Kaminer, I., Kitsios, I., Xargay, E., Hovakimyan, N., Cao, C., Gregory, I.M., Valavani, L.: Experimental Validation of L 1 Adaptive Control: The Rohrs Counterexample in Flight. Journal of Guidance, Control, and Dynamics 34(5), 1311–1328 (2011)CrossRefGoogle Scholar
  5. 5.
    Dobrokhodov, V., Xargay, E., Hovakimyan, N., Kaminer, I., Cao, C., Gregory, I.M.: Multicriteria analysis of an L1 adaptive flight control system. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 227(4), 413–427 (2013)Google Scholar
  6. 6.
    Ducard, G.J.: Fault-tolerant flight control and guidance systems: Practical methods for small unmanned aerial vehicles. Springer (2009)Google Scholar
  7. 7.
    Edwards, C., Lombaerts, T., Smaili, H.: Fault tolerant flight control: a benchmark challenge, vol. 399. Springer (2010)Google Scholar
  8. 8.
    Hovakimyan, N., Cao, C.: L1 adaptive control theory: Guaranteed robustness with fast adaptation, vol. 21. Siam (2010)Google Scholar
  9. 9.
    Hovakimyan, N., Xargay, E., Gregory, I.M.: Experience with the AirSTAR L1 Adaptive Flight Control System (2011)Google Scholar
  10. 10.
    Jiang, J., Zhang, Y.: Accepting performance degradation in fault-tolerant control system design. IEEE Transactions on Control Systems Technology 14(2), 284–292 (2006)CrossRefGoogle Scholar
  11. 11.
    Kim, K.-S., Lee, K.-J., Kim, Y.: Reconfigurable flight control system design using direct adaptive method. Journal of Guidance, Control, and Dynamics 26(4), 543–550 (2003)CrossRefGoogle Scholar
  12. 12.
    Patel, V.V., Cao, C., Hovakimyan, N., Wise, K.A., Lavretsky, E.: \(\mathcal{L}{}_{1}\) adaptive controller for tailless unstable aircraft in the presence of unknown actuator failures. International Journal of Control 82(4), 705–720 (2009)CrossRefzbMATHMathSciNetGoogle Scholar
  13. 13.
    Patton, R.J., Hu, H.: Fault tolerant control: the 1997 situation (survey), pp. 1033–1054 (1997)Google Scholar
  14. 14.
    Pomet, J.-B., Praly, L.: Adaptive nonlinear regulation: estimation from the lyapunov equation. IEEE Transactions on Automatic Control 37(6), 729–740 (1992)CrossRefzbMATHMathSciNetGoogle Scholar
  15. 15.
    Sadeghzadeh, I., Zhang, Y.: A Review on Fault-Tolerant Control for Unmanned Aerial Vehicles ( UAVs ), pp. 1–12 (2011)Google Scholar
  16. 16.
    Song, H., Zhang, T., Zhang, G., Lu, C.: Integrated Design of Interceptor Guidance and Control Based on L1 Adaptive Control. In: 2013 5th International Conference on Intelligent Human-Machine Systems and Cybernetics, pp. 525–528 (2013),
  17. 17.
    Stevens, B.L., Lewis, F.L.: Aircraft Control and Simulation. Wiley, New York (2003)Google Scholar
  18. 18.
    Tao, G.: Adaptive control of systems with actuator failures. Springer (2004)Google Scholar
  19. 19.
    Xargay, E., Dobrokhodov, V., Kaminer, I., Pascoal, A.M., Hovakimyan, N.: Time-Critical Cooperative Control of Multiple, pp. 49–73 (October 2012)Google Scholar
  20. 20.
    Zhang, Y., Jiang, J.: Fault tolerant control system design with explicit consideration of performance degradation. IEEE Transactions on Aerospace and Electronic Systems 39(3), 838–848 (2003)CrossRefGoogle Scholar
  21. 21.
    Zhang, Y., Jiang, J.: Bibliographical review on reconfigurable fault-tolerant control systems. Annual Reviews in Control 32(2), 229–252 (2008)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Flight Mechanics and ControlStuttgartGermany

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