Boundary Control of a Nonhomogeneous Flexible Wing with Bounded Input Disturbances

TL;DR

This paper addresses boundary control of a nonhomogeneous flexible wing modeled by coupled PDEs, ensuring stability under bounded disturbances using semigroup theory and Lyapunov methods.

Contribution

It introduces a boundary control law for a flexible wing with nonhomogeneous properties, analyzing well-posedness and stability under disturbances.

Findings

Well-posedness of the control system established

Stability of the closed-loop system proven with Lyapunov methods

Control law effectively manages unsteady aerodynamic loads

Abstract

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.