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Geometric Adaptive Tracking Control of a Quadrotor UAV on SE(3) for Agile Maneuvers

2014/11/11 by Farhad A. Goodarzi, Daewon Lee, Taeyoung Lee · 1 citation
Mathematics · #math.OC

paper · pdf · doi:10.1115/1.4030419

arXiv admin note: substantial text overlap with arXiv:1304.6765, arXiv:1109.4457

arxiv created 2014/11/11 · arxiv updated 2015/05/06

Abstract

This paper presents nonlinear tracking control systems for a quadrotor unmanned aerial vehicle under the influence of uncertainties. Assuming that there exist unstructured disturbances in the translational dynamics and the attitude dynamics, a geometric nonlinear adaptive controller is developed directly on the special Euclidean group. In particular, a new form of an adaptive control term is proposed to guarantee stability while compensating the effects of uncertainties in quadrotor dynamics. A rigorous mathematical stability proof is given. The desirable features are illustrated by numerical example and experimental results of aggressive maneuvers.

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