Modelica Landing Gear Modelling and On-Ground Trajectory Tracking with Sliding Mode Control

  • Fabrizio Re


A control system for an aircraft taxiing on ground based on sliding mode has been developed. The controller is capable to track the trajectory assigned in terms of longitudinal velocity and yaw rate and to drive an aircraft equipped with electric motors in the main gear as well as conventional brakes and nose gear steering. In addition, it can successfully handle saturation of the actuators. The algorithm is shown to be robust against parameter uncertainties (e.g. aircraft mass) as well as low friction coefficients at the interface tyre-ground. In order to test the tracking controller, an accurate virtual aircraft model has been designed in Modelica, with particular attention to the landing gears.


Slide Mode Control Landing Gear Tyre Model Actuator Saturation Feedforward Controller 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Biannic, J.M., Marcos, A., Jeanneau, M., Roos, C.: Nonlinear simplified LFT modelling of an aircraft on ground. In: 2006 IEEE International Conference on Control Applications (2006)Google Scholar
  2. 2.
    Bünte, T., Andreasson, J.: Global chassis control based on inverse vehicle dynamics models. In: 19th IAVSD Symposium Supplement to Vehicle System Dynamics (44) (2005)Google Scholar
  3. 3.
    Duprez, J., Mora-Camino, F., Villaumé, F.: Aircraft-On-Ground Lateral Control for Low Speed Manoeuvers. In: Proceedings of the 16th IFAC Symposium on Automatic Control in Aerospace, St. Petersburg, Russia (June 2004)Google Scholar
  4. 4.
    Falcone, P., Borrelli, F., Asgari, J., Tseng, H., Hrovat, D.: Predictive Active Steering Control for Autonomous Vehicle Systems. IEEE Transactions on Control Systems Technology 15 (2007)Google Scholar
  5. 5.
    Fielding, C., Varga, A., Bennani, S., Selier, M.: Advanced techniques for clearance of flight control laws. LNCIS, vol. 283. Springer, Heidelberg (2002)zbMATHCrossRefGoogle Scholar
  6. 6.
    Fritzson, P., Bunus, P.: Modelica-a general object-oriented language for continuous and discrete-event system modeling and simulation. In: Simulation Symposium, Annual 0, 0365 (2002), doi: Scholar
  7. 7.
    Isermann, R.: Fahrdynamik-Regelung. ATZ/MTZ-Fachbuch. Vieweg+Teubner (2006)Google Scholar
  8. 8.
    Looye, G.: Integrated flight mechanics and aeroelastic aircraft modeling using object-oriented modeling techniques. In: Proceedings of the AIAA Modeling and Simulation Technologies Conference, Portland, USA (1999)Google Scholar
  9. 9.
    Looye, G.: The new DLR flight dynamics library. In: Bachmann, B. (ed.) Proceedings of the 6th International Modelica Conference, vol. 1, pp. 193–202. The Modelica Association, Bielefeld (2008), Google Scholar
  10. 10.
    Magni, J.F., Bennani, S., Terlouw, J.: Robust flight control - a design challenge. LNCIS, vol. 224. Springer, London (1997)Google Scholar
  11. 11.
    Pacejka, H.B.: Tyre and Vehicle Dynamics. Butterworth-Heinemann, Butterworths, London (2006)Google Scholar
  12. 12.
    Perruquetti, W., Barbot, J.P.: Sliding Mode Control in Engineering. Marcel Dekker Inc., New York (2002)CrossRefGoogle Scholar
  13. 13.
    Rankin, J., Coetzee, E., Krauskopf, B., Lowenberg, M.: Bifurcation and Stability Analysis of Aircraft Turning on the Ground. Journal of Guidance, Control, and Dynamics 32(2) (March-April 2009)Google Scholar
  14. 14.
    Rankin, J., Krauskopf, B., Lowenberg, M., Coetzee, E.: Operational Parameter Study of an Aircraft Turning on the Ground. In: Progress in Industrial Mathematics at ECMI 2008, vol. 15 (2010)Google Scholar
  15. 15.
    Rankin, J., Krauskopf, B., Lowenberg, M., Coetzee, E.: Nonlinear Analysis of Lateral Loading During Taxiway Turns. Journal of Guidance, Control and Dynamics 33(6) (November-December 2010)Google Scholar
  16. 16.
    Roos, C., Biannic, J.M.: Aircraft-on-gound Lateral Control by an Adaptive LFT-based Anti-windup Approach. In: 2006 IEEE Conference on Control Applications (2006)Google Scholar
  17. 17.
    Roos, C., Biannic, J.M., Tarbouriech, S., Prieur, C.: On-ground Aircraft Control Design Using an LPV Anti-windup Approach, vol. 365, pp. 117–145. Springer, Heidelberg (2007)Google Scholar
  18. 18.
    Roos, C., Biannic, J.M., Tarbouriech, S., Prieur, C.M.J.: On-ground Aircraft Control Design Using a Parameter-Varying Anti-windup Approach. Aerospace Science and Technology 14 (2010)Google Scholar
  19. 19.
    Rouwhorst, W.F.J.A.: Robust and Efficient Autopilots Control Laws Design, Demonstrating the Use of Modern Robust Control Design Methodologies in the Autoland System Design Process - the REAL Project. In: Proocedings of the Aeronautic Days 2001, Hamburg, Germany (2001)Google Scholar
  20. 20.
    Slotine, J.J.E., Li, W.: Applied Nonlinear Control. Prentice Hall, Englewood Cliffs (1991)zbMATHGoogle Scholar
  21. 21.
    Solea, R., Nunes, U.: Trajectory planning and sliding-mode control based trajectory-tracking for cybercars. Integrated Computer-Aided Engineering 14, 33–47 (2007)Google Scholar
  22. 22.
    Yokoyoma, M., Kim, G.N., Tsuchiya, M.: Integral sliding mode control with anti-windup compensation and its application to a power assist system. Journal of Vibration and Control 16(4), 503–512 (2010)MathSciNetCrossRefGoogle Scholar
  23. 23.
    Zimmer, D., Otter, M.: Real-time models for wheels and tyres in an object-oriented modelling framework. Vehicle System Dynamics 48, 189–216 (2010)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Fabrizio Re
    • 1
  1. 1.DLR German Aerospace CenterInstitute of Robotics and MechatronicsOberpfaffenhofenGermany

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