Modeling and vibration control of a flexible aerial refueling hose with variable

In this paper, we present boundary control design for a flexible aerial refueling hose with varying length,varying speed, and input constraint. By the extended Hamilton’s principle, the flexible hose is modeled as a distributed parameter system described by partial differential equations (PDEs). Then a boundary control scheme is proposed based on the original PDEs to regulate the hose’s vibration and handle the effect of the input constraint. It is shown that the state of the system is proven to