Adaptive Second Order Terminal Backstepping Sliding Mode for Attitude Control of Quadrotor with External Disturbances

Majlesi Journal of Electrical Engineering

مقاله 6، دوره 9، شماره 2، شهریور 2015، صفحه 51-58   

نوع مقاله: Review Article

نویسندگان

Alireza Modirrousta؛ Mahdi Khodabandeh^*

Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran.

چکیده

This paper proposes a backstepping terminal sliding mode control with adaptive algorithm which applied to Quadrotor for free chattering, finite time convergence and robust aims. First of all, dynamic equation of a quadrotor has been obtained based on Euler-Lagrangian equations with considering additional disturbance and uncertainty. Furthermore, a nonlinear control scheme has been proposed to deal against defined perturbations. In the proposed control scheme, instead of using regular control input, the derivative of the control input has 

کلیدواژه‌ها

Adaptive algorithm؛ en؛ Backstepping method؛ Terminal second order sliding mode؛ Quadrotor

مراجع

[1] F. Lewis, “Dynamic inversion with zero-dynamics stabilisation for quadrotor control,” IET Control Theory and Applications, 2009, Vol. 3, lss. 3, pp. 303-314.

[2] S. Bouabdallah and R. Siegwart, “Backstepping and Sliding-mode Techniques Applied to an Indoor Micro Quadrotor,” in Proc. of the IEEE International Conference on Robotics and Automation, Barcelona, Spain, pp. 2247–2252, April 2005.

[3] T.Madani and A.Benallegue, “Backstepping Control for a Quadrotor Helicopter,” in the 2006 IEEE/RSJ International Conference on Intelligent Robots andSystems, China, 2006, pp.3255–3260.

[4] M. Bouchoucha, S. Seghour, H. Osmani, and M. Bouri, ”Integral Backstepping for Attitude Tracking of a Quadrotor System,” ELEKTRONIKA IR ELEKTROTECHNIKA, No. 10(116), 2011.

[5] Z. Fang and W. Gao, “Adaptive integral backstepping control of a Micro_Quadrotor,” The 2nd International Conference on Intelligent Control and Information Processing. Harbin, pp. 910-915, july 2011.

[6] H. Bouadi, M. Bouchoucha, and M. Tadjine, “Modelling and stabilizing Control Laws Design Based on Sliding Mode for an UAV Type-Quadrotor,” Engineering Letters, 15:2, EL_15_2_24, 2007.

[7] R. Xu and Ü. Özgnüer. “Sliding Mode Control of a Quadrotor Helicopter,” in 45th IEEE Conference on Decision & Control, USA, 2006, pp.4957-4962.

[8] L. Besnarda, Y. B. Shtessel, and Brian Landrum, “Quadrotor vehicle control via sliding mode controller driven by sliding mode disturbance observer,” Journal of The Franklin Institute, Vol. 349, 2012, pp. 658-684.

[9] L. Derafaa, A. Benallegueb,n and L. Fridman, “Super twisting control algorithm for the attitude tracking of a four rotors UAV,” Journal of The Franklin Institute, Vol. 349, 2012, pp. 685-699.

[10] D. Lee, H. J. Kim, and S. Sastry, “Feedback Linearization vs. Adaptive Sliding Mode Control for a Quadrotor Helicopter,” International Journal of Control, Automation and Systems, Vol. 7, No. 3, pp. 419–428, jun 2009.

[11] A. Tayebi and S. McGilvray, “Attitude stabilization of a four-rotor aerial robot,” in

Proc. of the IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, dec 2004, pp. 1216–1221.

[12] A. Tayebi and S. McGilvray, “Attitude Stabilization of a VTOL Quadrotor Aircraft,” in IEEE Transactions on Control Systems Technology, Vol. 14, may 2006, pp. 562–571.

[13] C. Nicol, C.J.B. Macnab and A. Ramirez-Serrano, “Robust adaptive control of quadrotor helicopter,” Mechatronics, Vol. 21, 2011, pp. 927-938.

[14] Z.T. Dydek, Anuradha M. Annsawany and Eugene Lavrestsky, “Adaptive control of quadrotor UAVs: Adesign trade study with flight evaluations,” IEEE Transactions on control systems technology, 2012.

[15] H. Wang, Z. Han, Q. Xie, and W. Zhang, “Finite-time chaos synchronization of unified chaotic system with uncertain parameters," Commun. Nonlinear Sci. Numer. Simulat, Vol. 14, 2009, pp. 2239–2247.

[16] S.P. Bhat and D.S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM J. Control Optim, Vol. 38, pp. 751–766.

[17] E. Slotineb and W. Li, Applied Nonlinear Control. First edition: Prentice.Hall, 1991.

[18] H. Xu and M. Mirmirani, “Adaptive sliding mode control design for a hypersonic flight vehicle,” Journal of Guidance,Control and Dynamic, Vol. 27, Issue 5, 2004, pp. 829 – 838.

[19] S. Yu, X. Yu, and B. Shirinzadeh, “Continuous finite time control for robotic manipulators with terminal sliding mode,” Automatica, Vol. 41, Issue. 11,2005, pp. 1957 – 1964.

[20] R. ZHANG, C. SUN, J. ZHANG, and Y. ZHOU, “Second-order terminal sliding mode control for hypersonic vehcile in cruising flight with sliding mode disturbnce observer,” J Control Theory Appli. Vol. 11, Issue. 2, 2013, pp. 299-305.

[21] F. Plestan, Y. Shtessel, V. Bregeault, and A. Poznyak, “New methodologies for adaptive sliding mode control,” International Journal of Control, Vol. 9, No. 9, pp. 1907-1919.

[22] D. Zhao, S. Li, and F. Gao, “A new sliding mode control for robotic manipulators,” International Jouranl of Control, Vol. 82, Issue. 10, 2009, pp. 1804–1813.