Title: Higher-Order Averaging Analysis of the Nonlinear Time-Periodic
Dynamics of Hovering Insects/Flapping-Wing Micro Air Vehicles

Speaker: Ahmed Hassan (UC Irvine) 

Abstract: Because of the wing oscillatory motion, the flight dynamics
of biological flyers as well as their man-made mimetic vehicles,
flapping-wing micro-air-vehicles (FWMAVs), is typically represented as
a nonlinear time-periodic system (NLTP). Moreover, its equilibrium
configurations (e.g., hovering) are represented by periodic orbits. In
this work, we combine tools from geometric control theory and averaging
to perform higher-order averaging analysis on the NLTP dynamics of
FWMAVs near the hovering equilibrium. The objective is to achieve
balance at hover; that is, to ensure a periodic solution whose
velocities have zero-mean values.