海洋柔性立管二维振动的输出反馈控制

Output feedback control for two dimensional vibration of a flexible marine riser

考虑了海洋柔性立管在时变内流和海流作用下二维振动控制问题。柔性立管系统动力学行为由两个偏微分方程和六个常微分方程描述。为提高其振动控制效果并避免控制溢出,直接基于其无限维分布参数模型,利用Lyapunov直接法和高增益观测器技术研发了输出反馈边界控制来控制立管的二维振动。随后证明了海流扰动作用下控制系统的一致最终有界稳定性和闭环状态的一致有界性。最后,仿真结果验证了文中所设计二维输出反馈边界控制算法的有效性。

The two dimensional vibration control problem of a flexible marine riser with internal fluid dynamics and the ocean current is considered. The dynamic behavior of the flexible riser is described by two partial differential equations and six ordinary differential equations. To improve the vibration control performance and avoid the control spillover,the Lyapunov＇s direct method and high-gain observer technique are adopted to develop two output feedback boundary controllers for vibration suppression of the riser system based on its original infinite-dimensional model. With the proposed control,uniform ultimate boundedness under ocean current disturbance and uniform boundedness of the closed-loop state are proved. The simulation results have verified the effectiveness of the designed boundary control scheme.