中文摘要：

针对具有大加减速的轴向移动系统,为有效抑制结构振动和避免控制溢出问题,将鲁棒边界控制技术与Lyapunov直接法相结合,基于结构无限维模型设计鲁棒边界控制器对结构振动进行主动控制.使用符号函数处理未知扰动,提高了控制器系统鲁棒性,并对控制系统的稳定性和一致有界性进行了验证.仿真结果表明,所提出的鲁棒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 robust boundary controller is proposed for active vibration control of an axially moving system with high ac-deceleration. The proposed robust boundary controller, which is based on the infinite-dimensional model of the axially moving system, employs the robust boundary technique and Lyapunov＇s direct method to reduce the axially moving system vibration. The robustness of designed controller is developed by using the sign function for eliminating the influence of uncertain disturbances. With the proposed robust boundary control method, the control system stability and uniform boundary are both achieved. Simulation results indicate that the proposed robust boundary control method effectively suppresses the vibration of the axially moving structure.