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In this paper the authors describe the process of model simplification that can be done to an Unmanned Aerial Vehicle (UAV) in straight steady flight condition. The aim of the process is to find a simple model that can approximate as good as possible the physical model of the AR.Drone quadcopter designed by Parrot. The non-linear dynamic model of this aircraft was implemented in computational software and the results are presented at the end of the paper. This simulator can be used in future development of control techniques and strategies.