This paper treats the question of control of an aeroelastic system with unk
nown parameters using output feedback. The equations of motion of the chose
n aeroelastic system describe the plunge and pitch motion of a wing. A sing
le trailing edge flap is used for the purpose of control, and plunge displa
cement and pitch angle are measured for feedback. Using a canonical represe
ntation of the aeroelastic system, reduced order filters are designed to ob
tain the unmeasured state variables. Then based on a backstepping design te
chnique, adaptive control laws for the trajectory control of the pitch angl
e and the plunge displacement are derived. In the closed-loop system, the s
tate vector is shown to converge asymptotically to zero. Simulation results
are presented which show that regulation and trajectory following are acco
mplished in the closed-loop system in spite of large uncertainties in the s
tructural and aerodynamic parameters of the model.