TY - JOUR
T1 - Geometric Control Approach to Longitudinal Stability of Flapping Flight
AU - Taha, Haithem E.
AU - Woolsey, Craig A.
AU - Hajj, Muhammad R.
N1 - Publisher Copyright:
Copyright © 2015 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
PY - 2016
Y1 - 2016
N2 - Flapping flight dynamics is appropriately represented by a multibody, nonlinear, time-varying system. The two major simplifying assumptions in the analysis of flapping flight stability are neglecting the wing inertial effects and averaging the dynamics over the flapping cycle. The challenges resulting from relaxing these assumptions naturally invoke the geometric control theory as an appropriate analysis tool. In this work, the full equations of motion governing the longitudinal flapping flight dynamics near hover are considered and represented in a geometric control framework. Then, combining tools from geometric control theory and averaging, the full dynamic stability of hovering insects is assessed.
AB - Flapping flight dynamics is appropriately represented by a multibody, nonlinear, time-varying system. The two major simplifying assumptions in the analysis of flapping flight stability are neglecting the wing inertial effects and averaging the dynamics over the flapping cycle. The challenges resulting from relaxing these assumptions naturally invoke the geometric control theory as an appropriate analysis tool. In this work, the full equations of motion governing the longitudinal flapping flight dynamics near hover are considered and represented in a geometric control framework. Then, combining tools from geometric control theory and averaging, the full dynamic stability of hovering insects is assessed.
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U2 - 10.2514/1.G001280
DO - 10.2514/1.G001280
M3 - Article
AN - SCOPUS:84958546703
SN - 0731-5090
VL - 39
SP - 214
EP - 226
JO - Journal of Guidance, Control, and Dynamics
JF - Journal of Guidance, Control, and Dynamics
IS - 2
ER -