Abstract
A nonlinear dynamic model of a miniature aerobatic helicopter is presented in detail. A component buildup was applied in devising the model, using simplified analytical expressions for the component forces and moments. Flight- test experiments were used to estimate several key parameters, such as the equivalent torsional stiffness in the hub. The model was used to design control logic for aerobatic maneuvers performed entirely under computer control.
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References
P. Abbeel, A. Coates, A.Y. Ng, Autonomous auto-rotation of an rc helicopter, in Proceedings of ISER, Athens, Greece, 2008
P. Abbeel, A. Coates, A.Y. Ng, Autonomous helicopter aerobatics through apprenticeship learning. Int. J. Robot. Res. 29, 1608–1639 (2010)
P. Abbeel, V. Ganapathi, A.Y. Ng, Learning vehicular dynamics with application to modeling helicopters, in Proceedings of NIPS 18, Vancouver, British Columbia, Canada, 2006
A.R.S. Bramwell, Bramwell’s Helicopter Dynamics (AIAA, Reston, 2001)
R.T. Chen, A simplified rotor system mathematical model for piloted flight dynamics simulation. Technical Memorandum 78575, NASA, 1979
E. Feron, M. Brenner, J. Paduano, A. Turevskiy, Time-frequency analysis for the transfer function estimation and application to flutter clearance. AIAA J. Guid. Control Dyn. 21(3), 375–382 (1998)
V. Gavrilets, Autonomous aerobatic maneuvering of miniature helicopters. Ph.D. dissertation, Massachusetts Institute of Technology, 2003
V. Gavrilets, M. Martinos, B. Mettler, E. Feron, Control logic for automated aerobatic flight of miniature helicopter, in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Monterey, CA, Aug 2002
F. D. Harris, Articulated rotor blade flapping motion at low advance ratio. J. Am. Helicopter Soc. 17, 41-48 (1972)
C. Harris (ed.), Shock and Vibration Handbook (McGraw-Hill, New York, 1996)
A. M. Kuethe, C.Y. Chow, Foundations of Aerodynamics (Wiley, New York, 1986)
M. LaCivita, T. Kanade, G. Papageorgiu, W. Messner, Design and flight testing of a high- bandwidth h-infinity loop shaping controller for a robotic helicopter, in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Monterey, CA, Aug 2002a
M. LaCivita, W. Messner, T. Kanade, Modeling of small-scale helicopters with integrated first- principles and integrated system identification techniques, in Presented at 58th Forum of American Helicopter Society, Montreal, Canada, June 2002b
J.G. Leishman, Principles of Helicopter Aerodynamics (Cambridge University Press, New York, 2000)
L. Ljung, System Identification: Theory for the User (Prentice Hall, Upper Saddle River, 1999)
M. McConley, Draper small autonomous aerial vehicle dynamic model. Technical report E41-98- 091, Draper Laboratory, Aug 1998
B. Mettler, Identification, Modeling and Characteristics of Miniature Rotorcraft (Kluwer, Boston, 2002)
B. Mettler, M. Tischler, T. Kanade, W. Messner, Attitude control optimization for a small-scale unmanned helicopter, in AIAA Guidance, Navigation and Control Conference, Denver, CO, Aug 2000
B. Mettler, V. Gavrilets, E. Feron, T. Kanade, Dynamic compensation for high-bandwidth control of small-scale helicopter, in American Helicopter Society Specialist Meeting, San Francisco, CA, Jan 2002a
B. Mettler, M.B. Tischler, T. Kanade, System identification modeling of a small-scale unmanned rotorcraft for control design. J. Am. Helicopter Soc. 47(1), 50–63 (2002b)
Miniature Aircraft USA, X-Cell .60 graphite SE Helicopter Kit (Special Edition) Instruction Manual (Miniature Aircraft USA, Orlando, 1999)
NASA Ames Research Center, Comprehensive Identification from Frequency Responses: An Interactive Facility for System Identification and Verification (NASA Ames Research Center, Moffet Field, 2000)
G. D. Padfield, Helicopter Flight Dynamics: The Theory and Application of Flying Qualities and Simulation Modeling. AIAA Education Series (AIAA, Reston, 1996)
J.M. Rolfe, K.J. Staples, Flight Simulation. (Cambridge University Press, Cambridge, 1986)
K. Sprague, V. Gavrilets, D. Dugail, B. Mettler, E. Feron, Design and applications of an avionics system for a miniature acrobatic helicopter, in AIAA Digital Avionics Systems Conference,Daytona Beach, FL, 2001
T.D. Talbot, B.E. Tingling, W.A. Decker, R.T. Chen, A mathematical model of a single main rotor helicopter for piloted simulation. Technical Memorandum 84281, NASA, 1982
M. Tischler (ed.), Advances in Aircraft Flight Control (Taylor and Francis, Cornwall, 1996)
W. von Grunhagen, G. Bouwer, H.-J. Pausder, F. Henchel, J. Kaletka, A high bandwidth control system for the helicopter in-flight simulator atthes - modelling, performance and applications, in Advances in Aircraft Flight Control, ed. by M. Tischler (Taylor and Francis, Cornwall, 1996)
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Gavrilets, V. (2015). Dynamic Model for a Miniature Aerobatic Helicopter. In: Valavanis, K., Vachtsevanos, G. (eds) Handbook of Unmanned Aerial Vehicles. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9707-1_54
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DOI: https://doi.org/10.1007/978-90-481-9707-1_54
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