INVARIANT DESCRIPTION OF FIXED-WING UNMANNED AERIAL VEHICLE MOTION IN VERTICAL PLANE
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Abstract
This study presents an invariant description of fixed-wing unmanned aerial vehicle (UAV) motion within a vertical plane, yielding closed-form expressions for the invariants. Through integration specific to this UAV motion, invariants are determined as functions of the flight-path angle. The simulation results illustrate that the invariants remain unaffected by changes in heading angle, demonstrating consistent values regardless of heading direction. Additionally, the results show that an increase in bank angle correlates with a reduced rate of change in the invariants concerning flight-path angle. The obtained results offer insights into parameter evaluation and the development of invariant-based control and guidance methodologies.
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Mozzi, G., “Discorso Matematico sopra il Rotamento Momentaneo dei Corpi,” Stamperia del Donato Campo, Napoli, 1763.
Ceccarelli, M., 1995, “Screw Axis Defined by Giulio Mozzi in 1763,” Ninth World Congress IFToMM, Milano, Italy, pp. 3187–3190.
Joris De Schutter, "Invariant description of rigid body motion trajectories", Journal of Mechanisms and Robotics, 2010.
A. P. Markeev, "Theoretical Mechanics (Teoreticheskaya mekhanika)"(in Russian), Moskva Nauka 1990, pp. 63-69.
Jorge Angeles, "Automatic Computation of the Screw Parameters of Rigid-Body Motions. Part I: Finitely-Separated Positions", Journal of Dynamic Systems, Measurement, and Control, 1986, Vol. 108, pp. 32-38.
Jorge Angeles, "Automatic Computation of the Screw Parameters of Rigid-Body Motions. Part II: Infinitesimally-Separated Positions", Journal of Dynamic Systems, Measurement, and Control, 1986, Vol. 108, pp. 39-43.
F. M. Dimentberg, "The screw calculus and its applications in mechanics", Moskva Nauka 1965.
Department of the Air Force, Headquarters of the Air Force, Washington DC, "Autonomous Horizons", June 1, 2015.
Hull, D. G., “Atmosphere, Aerodynamics, and Propulsion,” Fundamentals of Airplane Flight Mechanics, Springer–Verlag, Heidelberg, Germany, 2007, pp. 43–78.
Azimov, D., Allen, J. (2017). Analytical Model and Control Solutions for Unmanned Aerial Vehicle Maneuvers in a Vertical Plane. Journal of Intelligent & Robotic Systems, 91, 725-733.
Azimov, D.M. On One Case of Integrability of Atmospheric Flight Equations. AIAA Journal of Aircraft. 2011, V.48, N.5, pp.1722-1732.
Strzalko J., Grabski J., Perlikowski P., Stefanski A., Kapitaniak T., “Dynamics of Gambling: Origins of Randomness in Mechanical Systems”, 2009, pp. 23-39 http://www.springer.com/978-3-642-03959-1
Online scource, "Quadcopter", http://socialledge.com/sjsu/index.php/F13:_Quadcopter