Boundary control of a flexible marine riser

In this paper, vibration reduction of a flexible marine riser is studied by using boundary control method and Lyapunov's direct method. To achieve more accurate and practical dynamic behavior of the riser, the effects of time-varying internal fluid are considered in riser's dynamic model, which is modeled by a partial differential equations coupled with ordinary differential equations involving functions of space and time. Boundary controller is designed at the top boundary of the riser based on Lyapunov's direct method and presented model to reduce the riser's vibrations. The uniform boundedness and closed-looped stability are proved based on the proposed boundary control. Simulation results verify the effectiveness of the proposed boundary control.