Boundary Control of Coupled Hyperbolic PDEs for Two-dimensional Vibration Suppression of a Deep-sea Construction Vessel

摘要

This paper presents a state-feedback boundary control design of a class of coupled hyperbolic PDE-ODE systems, characterized by spatially-varying coefficients and a time-varying domain, which physically describes lateral-longitudinal coupled vibrations of a deep-sea construction vessel used to install oil drilling equipment on the seafloor in deep-sea oil exploration. The exponential stability of the closed-loop system is proved via Lyapunov analysis. Effective suppression of lateral-longitudinal coupled vibrations in the deep-sea construction vessel by the designed controller is verified via numerical simulation.