Boundary feedback stabilization of a flexible wing model under unsteady aerodynamic loads

Hugo Lhachemi (1) , David Saussié (1) , Guchuan Zhu (1)

1 EPM - École Polytechnique de Montréal

displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter system as a coupled Euler–Bernoulli and Timoshenko beam model. The problem is tackled in the framework of semigroup theory, and a Lyapunov-based stability analysis is carried out to assess that the system energy, as well as the bending and twisting displacements, decay exponentially to zero. The effectiveness of the proposed boundary control scheme is evaluated based on simulations.

Domaines: Systèmes et contrôle [cs.SY]; Optimisation et contrôle [math.OC]

Hugo Lhachemi, David Saussié, Guchuan Zhu. Boundary feedback stabilization of a flexible wing model under unsteady aerodynamic loads. Automatica, 2018, 97, pp.73-81. ⟨10.1016/j.automatica.2018.07.029⟩. ⟨hal-03133664⟩