A Backstepping Approach for Airship Autonomous Robust Control

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In this paper, we present the robust control of a dirigible airship. In the first part of this paper, kinematics and dynamics modeling of autonomous airships is presented. Euler angles and parameters are used in the formulation of this model and the technique of Backstepping control is introduced. In the second part of the paper, we develop a methodology of control that allows the dirigible to accomplish a prospecting mission of an environment, as the follow-up of a trajectory by the simulation who results show that Backstepping control method is suitable for airships.
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Autonomous Airship; Blimp; Backstepping Control; Lyapunov Function

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Johan Bijker, Willem Styn, Kalman filter configurations for a low-cost loosely integrated inertial navigation system on an airship, Control Engineering Practice, Volume 16, Issue 12, December 2008, Pages 1509–1518.

Y. Bestaoui Sebbane, lighter than air robots. Intelligent systems control and automation: journal of Guidance, Control, and Dynamics Vol. 32, No. 4, Jul-August 2009

I. Kanellakopoulos systematic design of adaptive controllers for feedback linearisable Systems», IEEE. Transaction on automatic control vol. 36(11), pp 1241-1253, July 2000.

A. Feurrel & A.S. Morse, ‘Adaptive control of single-input, single-output linear systems’, IEEE. Transaction on automatic control vol. 23 (4), pp 557-569, July 2000.

P.V, Kokotovic and H.J, Sussman, «A positive real condition for global stabilization of nonlinear systems», systems &control letters vol.13, pp 125-133, July 2000.

K. Zemalache Meguenni, M. Tahar, M. R. Benhadria, Y. Bestaoui, Integral Backstepping Controller for an Autonomous Helicopter, (2010) International Review of Aerospace Engineering (IREASE), 3 (5), pp. 257-267.

K. M. Zemalache, L. Beji, H. Maaref, «Two Inertial Models of X4-Flyers Dynamics, Motion Planning and Control», Journal of the Integrated Computer-Aided Engineering (ICAE), Vol. 14, No. 2, pp. 107-119, January 2007.

J. Tisinias sufficient Lyapunov-like conditions for stabilization», Math. Control. Signal. systems2, pp 343-357, July 2000.

T. I. Fossen, Guidance and Control of Ocean Vehicles John Wiley Sons Ltd, Chichester, (1994).

E. Hygounec, P. Soueres, S. Lacroix’ Modélisation d’un ballon dirigeable, Etude de la cinématique et dynamique ‘ CNRS report, 426, LAAS, Toulouse, France, October 2000.

G. A. Khoury, J. D. Gillet, eds. Airship technology, Cambridge University press, (1999).

Y. Bestaoui, T. Hamel, Dynamic Modelling of Small Autonomous Blimps’, Conference on Methods and models in automation and robotics, Miedzyzdroje, Poland, (2000), vol.2, pp.579-584.

L. Beji, A. Abichou, Y. Bestaoui, ‘Stabilisation of a Nonlinear Underactuated Autonomous Airship-A Combined Averaging and Backstepping Approach’ third international Workshop on Robot Motion and Control, November 9-11, 2002.

ZHANG Yan QU Wei-Dong XI Yu-Geng CAI Zi-Li, ‘Adaptive Stabilization and Trajectory Tracking of Airship with Neutral Buoyancy’, Vol. 34, No. 11 November, 2008

L. Beji & A. Abichou, ‘Tracking control of trim trajectories of a blimp for ascent and descent flight maneuvers’, International Journal of Control, 2005.

Wu Yongmei, Zhu Ming, Zuo Zongyu, Zheng Zewei, ‘Trajectory Tracking of a High Altitude Unmanned Airship Based on Adaptive Feedback Linearization’, International Conference on Mechatronic Science, Electric Engineering and Computer, August 19-22, 2011, Jilin, China.

YANG Yueneng, ZHENG Wei WU Jie, Sliding Mode Control for a Near Space Autonomous Airship, 2011 IEEE.

Xiaotao Wu, Claude H. Moog, Luis Alejandro Marquez-Martinez, Yueming Hu, Full model of a buoyancy-driven airship and its control in the vertical plane, Aerospace Science and Technology 26 (2013) 138-152, Elsevier.

Yueneng Yang, Jie Wu, Wei Zheng, Station-keeping control for a stratospheric airship platform via fuzzy adaptive backstepping approach, Advances in Space Research 51 (2013) 1157–1167.

Zewei Zheng, Wei Huo, Zhe Wu, Trajectory tracking control for Underactuated Stratospheric Airship, Advances in Space Research 50 (2012) 906-917.

Ackermann J, Bunte T. Yaw, ‘disturbance attenuation by robust decoupling of car steering’. Control Eng Pract. 1997; 5(8):1131-6.

Krstic M, Kokotovic PV, Kanellakopoulos I. ‘Nonlinear and adaptive control design’, John Wiley & Sons, Inc. New York, NY, USA, 1995.

Kokotovic P, Arcak M. Constructive nonlinear control, a historical perspective. Automatica.2001, 37(5):637-62.

Bihua Chen, Zongxia Jiao, Shuzhi Sam Ge, Aircraft On-ground Path Following Control by Dynamical Adaptive Backstepping, Chinese Journal of Aeronautics, Volume 26, Issue 3, June 2013, Pages 668–675.


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