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Robust Geometric Navigation of a Quadrotor UAV on SE(3)

Published online by Cambridge University Press:  05 August 2019

O. Garcia Open the ORCID record for O. Garcia [Opens in a new window] ,
E. G. Rojo-Rodriguez Open the ORCID record for E. G. Rojo-Rodriguez [Opens in a new window] ,
A. Sanchez ,
D. Saucedo  and
A. J. Munoz-Vazquez Open the ORCID record for A. J. Munoz-Vazquez [Opens in a new window]
O. Garcia*
Affiliation:
Aeronautics Department, Aerospace Engineering Research and Innovation Center, Faculty of Mechanical and Electrical Engineering, Autonomous University of Nuevo Leon, Apodaca, NL, Mexico E-mails: octavio.garcias@uanl.mx; erik.rojordr@uanl.edu.mx
E. G. Rojo-Rodriguez
Affiliation:
Aeronautics Department, Aerospace Engineering Research and Innovation Center, Faculty of Mechanical and Electrical Engineering, Autonomous University of Nuevo Leon, Apodaca, NL, Mexico E-mails: octavio.garcias@uanl.mx; erik.rojordr@uanl.edu.mx
A. Sanchez
Affiliation:
Aeronautics Department, Robotics and Advanced Manufacturing Department, CINVESTAV, Saltillo, Coahuila, Mexico E-mail: anand.sanchez@cinvestav.mx
D. Saucedo
Affiliation:
National Polytechnic Institute, UPIIG, Silao de la Victoria, Guanajuato, Mexico E-mail: dsaucedog@ipn.mx
A. J. Munoz-Vazquez
Affiliation:
Computer Science Department, CONACYT-School of Engineering, Autonomous University of Chihuahua, Campus II, Chihuahua, Mexico E-mail: aldo.munoz.vazquez@gmail.com
*
*Corresponding author. E-mail: octavio.garcias@uanl.mx
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Summary

In this paper, a robust geometric navigation algorithm, designed on the special Euclidean group SE(3), of a quadrotor is proposed. The equations of motion for the quadrotor are obtained using the Newton–Euler formulation. The geometric navigation considers a guidance frame which is designed to perform autonomous flights with a convergence to the contour of the task with small normal velocity. For this purpose, a super twisting algorithm controls the nonlinear rotational and translational dynamics as a cascade structure in order to establish the fast and yet smooth tracking with the typical robustness of sliding modes. In this sense, the controller provides robustness against parameter uncertainty, disturbances, convergence to the sliding manifold in finite time, and asymptotic convergence of the trajectory tracking. The algorithm validation is presented through experimental results showing the feasibility of the proposed approach and illustrating that the tracking errors converge asymptotically to the origin.

Keywords

Quadrotor UAVGeometric navigationGuidance frameSuper twisting algorithm
Type
Articles
Information
Robotica , Volume 38 , Issue 6 , June 2020 , pp. 1019 - 1040
Copyright
© Cambridge University Press 2019

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