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Backstepping Control Design Applied to a Quadrotor Aircraft for Autonomous Missions

Charland-Arcand Guillaume, Ouassima Akhrif, Abbas Chamseddine, François Gagnon

Abstract


This paper presents a backstepping controller for a quadrotor aircraft used as an autonomous telecommunication relay. The goal of the controller is to asymptotically track the trajectory generated by a navigation law that drives the quadrotor to the optimal position in regard to telecommunication requirements. To overcome the complex analytical derivative calculation of the virtual control, we propose to use exact second order sliding mode estimator. The proof of stability is presented and takes into account the error generated by the system’s underactuated dynamics and the virtual control derivative estimation errors. The stability and performance of the proposed controller are verified with numerical simulation.

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References


S. Bouabdallah, 2007. “Design and control of quadrotors with application to autonomous flying”. Ph.D. Thesis no 3727, École Polytechnique Fédérale de Lausanne. 155p.

J. Shin, D. Fujiwara, K. Nonami and K. Hazawa, “Model based optimal attitude and positioning control of small scale unmanned helicopter”. Cambridge University Press Robotica, vol. 23, no. 1, pp. 51-63. 2005

M. La Civita, G. Papageorgiou, W. C. Messner and T. Kanade, “Design and flight testing of an controller for a robotic helicopter“. Journal of Guidance, Control, and Dynamics, vol. 29, no. 2, pp. 485–494, March-April 2006.

A. Benallegue, A. Mokhtari and L. Fridman. “High-order sliding-mode observer for a quadrotor UAV”. In International Journal of Robust and Nonlinear Control, John Wiley & Sons, Ltd, vol. 18, no 4-5, pp.427-440, 2008.

R. Xu and U. Ozguner. “Sliding Mode Control of a Quadrotor Helicopter”. In Proc. (IEEE) 45th Conference on Decision & Control, p.4957-7962. Dec. 2006

T. Hamel, R. Lozano and J. Ostrowski. “Dynamic modelling and configuration stabilization for an X4-Flyer”. In 15th Triennial World Congress, 2002.

T. Madani and A. Benallegue. “Backstepping Control for a Quadrotor Helicopter”. In Proc. (IEEE/RSJ) International Conference on Intelligent Robots and Systems, p.3255-3260. Oct. 2006.

J. Wang, T. Raffler and F. Holzapfel. “Nonlinear Position Control Approaches for Quadcopters Using a Novel State Representation”. In AIAA Guidance, Navigation and Control Conference, 2012.

J. Ghomman, G. Charland-Arcand, M. Saad, “Three-Dimensional Constrained Tracking Control via Exact Differentiation Estimator of a Quadrotor Helicopter”, Asian Journal of Control, to be published.

J. Davila, “Robust backstepping controller for aircraft dynamics”. In Proc. of the 18th IFAC World Congress, pp. 149–154, 2011.

A. Levant. “Robust exact differentiation via sliding mode technique”. Automatica, vol. 34, no. 3, pp.379–384, 1998.

I. A. Raptis and K. P. Valavanis, “Linear and Nonlinear Control of Small-Scale Unmanned Helicopters”, vol. 45 of International Series on Intelligent systems, Control, and Automation Science and Engineering, Springer 2011.

H. K. Khalil, “Nonlinear Systems Third Edition”, Prentice Hall, 750p. Dec. 2001.

A. Chamseddine, G. Charland-Arcand, O. Akhrif, S. Gagné, F. Gagnon, “Optimal Position Seeking for Unmanned Aerial Vehicle Communication Relay using Only Signal Strength and Angle of Arrival”, accepted to Conference on Decision and Control 2014.

L. Luque-Vega, B. Castillo-Toledo and G. L. Alexander, “Block linearization control of a quadrotor via sliding mode”. In Proc. of the IEEE American Control Conference (ACC), pp. 149–154, 2012.

J. Davila, L. Fridman and A. Levant, “Second order sliding-mode observer for mechanical systems”, IEEE Trans. Automatic. Control, vol. 50, no 11, pp. 1785–1789, 2005.

M. Krstić, I. Kanellakoupoulos and P. Kokotović. 1995. “ Nonlinear and Adaptative Control Design “. A volume in the Wiley Series on Adaptive and Learning Systems for Signal Processing, Communications, and Control. John Wiley & Sons.




DOI: http://dx.doi.org/10.21535%2FProICIUS.2014.v10.291

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