Vibration Control of a Probe-and-Drogue Refueling Hose System with Prescribed Bound

We develop a boundary control strategy for vibration suppression mission of a probe-and-drogue refueling hose (PDRH) system with prescribed bound in this study. Based on the distributed parameter system theory, the PDRH is modeled by partial differential equations (PDEs) because of its characteristic of infinite dimension. No violation of the time-varying boundary constraint during operation is warranted by the barrier Lyapunov function. Signals of closed-loop system are demonstrated to be uniformly bounded via Lyapunov's direct method. By choosing parameters appropriately, system state is proven to converge to a small neighborhood of zero. The feasibility of the proposed control law is verified by simulation results.