中文摘要：

在这份报纸，有变化时间的内部液体的一个灵活海洋的起床人的颤动减小被使用边界控制方法和 Lyapunovs 直接方法学习。完成更精确、实际的起床人动态行为，有变化时间的内部液体的海洋的起床人的模型被一个分布式的参数系统(DPS ) 与部分微分方程(PDE ) 和包含空间和时间的函数的平常的微分方程(颂诗) 建模。如果变化时间的内部液体被考虑，起床人的动态回答是完全不同的。边界控制基于 PDE 建模的原来的无限的维数和 Lyapunovs 直接方法在起床人的最高的边界被设计减少起床人颤动。一致固定和靠近环的稳定性基于建议边界控制被证明。模拟结果验证建议边界控制的有效性。

英文摘要：

In this paper, vibration reduction of a flexible marine riser with time-varying internal fluid is studied by using boundary control method and Lyapunov＇s direct method. To achieve more accurate and practical riser＇s dynamic behavior, the model of marine riser with time-varying internal fluid is modeled by a distributed parameter system （DPS） with partial differential equations （PDEs） and ordinary differential equations （ODEs） involving functions of space and time. The dynamic responses of riser are completely different if the time-varying internal fluid is considered. Boundary control is designed at the top boundary of the riser based on original infinite dimensionality PDEs model and Lyapunov＇s direct method to reduce the riser＇s vibrations. The uniform boundedness and closed-loop stability are proved based on the proposed boundary control. Simulation results verify the effectiveness of the proposed boundary control.