Model Reference Adaptive Control and LQR Control for Quadrotor with Parametric Uncertainties
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Model Reference Adaptive Control and LQR Control for Quadrotor with Parametric Uncertainties

Authors: Alia Abdul Ghaffar, Tom Richardson

Abstract:

A model reference adaptive control and a fixed gain LQR control were implemented in the height controller of a quadrotor that has parametric uncertainties due to the act of picking up an object of unknown dimension and mass. It is shown that an adaptive controller, unlike the fixed gain controller, is capable of ensuring a stable tracking performance under such condition, although adaptive control suffers from several limitations. The combination of both adaptive and fixed gain control in the controller architecture can result in an enhanced tracking performance in the presence parametric uncertainties.

Keywords: UAV, quadrotor, model reference adaptive control, LQR control.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1099156

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References:


[1] D. Mellinger, Q. Lindsey, M. Shomin, and V. Kumar, “Design, modeling, estimation and control for aerial grasping and manipulation,” in Intelligent Robots and Systems (IROS), 2011 IEEE/RSJ International Conference on. IEEE, 2011, pp. 2668–2673.
[2] Q. Lindsey, D. Mellinger, and V. Kumar, “Construction with quadrotor teams,” Autonomous Robots, vol. 33, no. 3, pp. 323–336, 2012.
[3] D. Mellinger, N. Michael, and V. Kumar, “Trajectory generation and control for precise aggressive maneuvers with quadrotors,” The International Journal of Robotics Research, p. 0278364911434236, 2012.
[4] A. Jimenez-Cano, J. Martin, G. Heredia, A. Ollero, and R. Cano, “Control of an aerial robot with multi-link arm for assembly tasks,” in Robotics and Automation (ICRA), 2013 IEEE International Conference on. IEEE, 2013, pp. 4916–4921.
[5] S. Kim, S. Choi, and H. J. Kim, “Aerial manipulation using a quadrotor with a two dof robotic arm,” in Intelligent Robots and Systems (IROS), 2013 IEEE/RSJ International Conference on. IEEE, 2013, pp. 4990– 4995.
[6] M. Orsag, C. Korpela, and P. Oh, “Modeling and control of mm-uav: Mobile manipulating unmanned aerial vehicle,” Journal of Intelligent & Robotic Systems, vol. 69, no. 1-4, pp. 227–240, 2013.
[7] T. Yucelen and A. J. Calise, “Derivative-free model reference adaptive control,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 4, pp. 933–950, 2011.
[8] H. P. Whitaker, J. Yamron, and A. Kezer, Design of model-reference adaptive control systems for aircraft. Massachusetts Institute of Technology, Instrumentation Laboratory, 1958.
[9] I. Landau, “A survey of model reference adaptive techniquestheory and applications,” Automatica, vol. 10, no. 4, pp. 353–379, 1974.
[10] C.-C. Hang and P. Parks, “Comparative studies of model reference adaptive control systems,” Automatic Control, IEEE Transactions on, vol. 18, no. 5, pp. 419–428, 1973.
[11] K. J. A˚ stro¨m, “Theory and applications of adaptive controla survey,” Automatica, vol. 19, no. 5, pp. 471–486, 1983.
[12] B. Anderson, “Adaptive systems, lack of persistency of excitation and bursting phenomena,” Automatica, vol. 21, no. 3, pp. 247–258, 1985.
[13] Z. T. Dydek, A. M. Annaswamy, and E. Lavretsky, “Adaptive control of quadrotor uavs: A design trade study with flight evaluations,” Control Systems Technology, IEEE Transactions on, vol. 21, no. 4, pp. 1400– 1406, 2013.
[14] J. Wang, V. Patel, C. Woolsey, N. Hovakimyan, and D. Schmale, “L1 adaptive control of a uav for aerobiological sampling,” in American Control Conference, 2007. ACC’07. IEEE, 2007, pp. 4660–4665.
[15] S. Bouabdallah and R. Siegwart, “Full control of a quadrotor,” in Proc. of The IEEE International Conference on Intelligent Robots (IROS), 2007.
[16] S. Bouabdallah, P. Murrieri, and R. Siegwart, “Design and control of an indoor micro quadrotor,” in Proc. of The International Conference on Robotics and Automation (ICRA), 2004.
[17] 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 (ICRA), 2005.
[18] S. Bouabdallah, “Design and control of quadrotors with application to autonomous flying,” Lausanne Polytechnic University, 2007.
[19] K. J. Astrom and R. M. Murray, “Feedback systems: An introduction for scientists and engineers,” Tech. Rep., 2007.
[20] I. Sonnevend, “Analysis and model based control of a quadrotor helicopter.”
[21] MathWorks. (2014) Documentation center: Linear-quadratic regulator (lqr) design @ONLINE. (Online). Available: http://www.mathworks.com/help/control/ref/lqr.html
[22] K. J. A˚ stro¨m and B. Wittenmark, Adaptive Control. Courier Dover Publications, 2008.
[23] J. Matthew, N. B. Knoebel, S. R. Osborne, R.W. Beard, and A. Eldredge, “Adaptive backstepping control for miniature air vehicles,” in American Control Conference, 2006. IEEE, 2006, pp. 6–pp.
[24] Q. Inc., 3-DOF Helicopter: Reference Manual, Quanser Inc.