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An Approximate Backstepping Based Trajectory Tracking Control of a Gun Launched Micro Aerial Vehicle in Crosswind

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Abstract

This paper considers the question of obtaining a nonlinear trajectory tracking control law for a comprehensive design of a Gun Launched Micro Aerial Vehicle (GLMAV) despite unknown aerodynamic efforts. To this purpose, a nonlinear mathematical model of the GLMAV is firstly presented for hover and near hover flight conditions. Then, an approximate backstepping control law is derived, allowing the trajectory tracking and the stabilization of the vehicle’s position and orientation while on-line estimating the unknown aerodynamics efforts. The main idea of the control law is to separate the controller into a position controller in cascade with an orientation controller. The control design will be extended such that the interconnection term between the cascaded sub-systems is minimised. Finally, numerical simulations are used to demonstrate the control law’s good performance.

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References

  1. Castillo, P., Lozano, R., Dzul, A.E.: Modelling and Control of Mini-Flying Machines. Springer (2005)

  2. Drouot, A., Richard, E., Boutayeb, M.: Nonlinear backstepping based trajectory tracking control of a gun launched micro aerial vehicle. To be presented at the AIAA Guidance, Navigation and Control Conference and Exhibit (2012)

  3. Ganguli, R.: Survey of recent developments in rotorcraft design optimization. J. Aircr. 41(3), 493–510 (2004)

    Article  MathSciNet  Google Scholar 

  4. Gnemmi, P., Haertig, J.: Concept of a gun launched micro air vehicle. In: Proceedings of the 26th AIAA Applied Aerodynamics Conference (2008)

  5. Gnemmi, P., Koehl, A., Martinez, B., Changey, S., Theodoulis, S.: Modeling and control of two GLMAV hover-flight concepts. In: Proceedings of the European Micro Aerial Vehicle Conference (2009)

  6. Hall, A.P.K., Wong, K.C., Auld, D.: Coaxial aero-mechanical analysis of MAV rotorcraft with rotor interaction for optimisation. In: Proceedings of 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference (2008)

  7. Isidori, A.: Nonlinear Control Systems: An Introduction. Springer (1989)

  8. Isidori, A., Marconi, L., Serrani, A.: Robust nonlinear motion control of a helicopter. IEEE Trans. Automat. Contr. 48(3), 413–426 (2003)

    Article  MathSciNet  Google Scholar 

  9. Koehl, A., Rafaralahy, H., Boutayeb, M., Martinez, B.: Modeling and identification of a launched micro air vehicle: design and experimental results. In: Proceedings of the AIAA Modeling and Simulation Technologies Conference and Exhibit (2010)

  10. Krashanitsa, R., Platanitis, G., Silin, D., Shkarayev, S.: Aerodynamics and controls design for autonomous micro air vehicles. In: Proceedings of AIAA Atmospheric Flight Mechanics Conference and Exhibit (2006)

  11. Krstic, M., Kanellakopoulos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley (1995)

  12. Lozano, R.: Unmanned Aerial Vehicles Embedded Control. Wiley-ISTE (2010)

  13. Marconi, L., Naldi, R.: Robust full degree-of-freedom tracking control of a helicopter. Automatica 43(11), 1909–1920 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  14. Martini, A.: Modé. PhD thesis, Université Paul Verlaine (2008)

  15. Nonami, K., Kendoul, F., Suzuki, S., Wang, W., Nakazawa, D.: Autonomous Flying Robots: Unmanned Aerial Vehicles and Micro Aerial Vehicles. Springer (2010)

  16. Olfati-Saber, R.: Global configuration stabilization for the VTOL aircraft with strong input coupling. IEEE Trans. Automat. Contr. 47(11), 1949–1952 (2002)

    Article  MathSciNet  Google Scholar 

  17. Pathak, K., Agrawal, S.K.: An integrated spatial path-planning and controller design approach for a hover-mode helicopter model. In: Proceedings of IEEE International Conference on Robotics and Automation, pp. 1890–1895 (2005)

  18. Pflimlin, J.M., Soueres, P., Hamel, T.: Position control of a ducted fan VTOL UAV in crosswind. Int. J. Control 80(5), 666–683 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  19. Ramasamy, M., Lee, T.E., Leishman, J.G.: Flowfield of a rotating-wing micro air vehicle. J. Aircr. 44(4), 1236–1244 (1994)

    Article  Google Scholar 

  20. Shim, D.H., Kirn, H.J., Sastry, S.: Hierarchical control system synthesis for rotorcraft-based unmanned aerial vehicles. In: Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit (2000)

  21. Valavanis, K.P.: Advances in Unmanned Aerial Vehicles: State of the Art and the Road to Autonomy. Springer (2007)

  22. Valavanis, K.P.: Unmanned Aerial Vehicles. Springer (2011)

  23. Walchko, K.J., Nechyba, M.C., Schwartz, E., Arroyo, A.: Embedded low cost inertial navigation system. In: Sensors (2003)

  24. Wereley, N.M., Pines, D.J.: Feasibility Study of a Smart Submunition: Deployment from a Conventional Weapon. Army Research Laboratory (2001)

  25. Wood, R.: Lyapunov-based control strategies for the global control of symmetric VTOL UAVs. PhD thesis, The University of Adelaide (2007)

  26. Wood, R., Cazzolato, B.: An approximate backstepping control law for the global stabilisation of symmetric vtol vehicles. In: Proceedings of Information, Decision and Control Conference, pp. 142–147 (2007)

  27. Yanushevsky, R.: Guidance of Unmanned Aerial Vehicles. CRC Press (2011)

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Correspondence to Adrien Drouot.

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Drouot, A., Richard, E. & Boutayeb, M. An Approximate Backstepping Based Trajectory Tracking Control of a Gun Launched Micro Aerial Vehicle in Crosswind. J Intell Robot Syst 70, 133–150 (2013). https://doi.org/10.1007/s10846-012-9712-7

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  • DOI: https://doi.org/10.1007/s10846-012-9712-7

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