中文摘要：

针对具有大加减速轴向移动结构,为抑制结构振动和避免控制溢出,采用广义Hamilton原理建立了结构无限维模型,并基于该无限维模型,运用边界控制技术和Lyapunov直接法设计了边界控制器,用于轴向移动结构的振动主动控制。所设计边界控制器避免了控制溢出问题,并能保证控制系统的稳定性和一致有界性。仿真结果表明,边界控制方法能有效抑制结构的振动。

英文摘要：

To suppress structure vibration and avoid control spillover,a boundary controller is proposed for active vibration control of an axially moving system with high ac-/deceleration.The proposed boundary controller,which is based on the infinitedimensional model of the axially moving system derived from generalized Hamilton＇s principle,employs the boundary technique and Lyapunov＇s direct method to reduce the axially moving system vibration.With the proposed boundary control method,the control spillover is avoided,and control system stability and uniform boundary are both achieved under external disturbances.Simulation results indicate that the proposed boundary control method effectively suppresses the vibration of the axially moving structure.