Boundary Control of a Nonhomogeneous Flexible Wing with Bounded Input Disturbances

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

1 EPM - École Polytechnique de Montréal

This note deals with the boundary control problem of a nonhomogeneous flexible wing evolving under unsteady aerodynamic loads. The wing is actuated at its tip by flaps and is modeled by a distributed parameter system consisting of two coupled partial differential equations. Based on the proposed boundary control law, the well-posedness of the underlying Cauchy problem is first investigated by resorting to the semigroup theory. Then, a Lyapunov-based approach is employed to assess the stability of the closed-loop system in the presence of bounded input disturbances.

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

Hugo Lhachemi, David Saussie, Guchuan Zhu. Boundary Control of a Nonhomogeneous Flexible Wing with Bounded Input Disturbances. IEEE Transactions on Automatic Control, 2019, 64 (2), pp.854-861. ⟨10.1109/TAC.2018.2838040⟩. ⟨hal-03133669⟩