存在时滞的柔性梁的振动主动控制

本文对控制存在时滞的柔性梁的振动主动控制进行研究，主动控制策略采用独立模态空间控制，模态控制律采用离散变结构控制进行设计，给出了从实际测量中提取模态坐标和将模态控制力转换成实际控制力的方法，以及离散切换面和离散变结构模态控制律的确定方法，由于模态控制律直接通过时滞微分方程而得出，因此所给控制方法易于保证控制系统的稳定性。算例结果显示，文中所述控制方法能够有效地对梁的振动进行控制；若按无时滞时的控制设计对时滞系统进行控制，系统响应有可能出现发散。

ACTIVE VIBRATION CONTROL OF A FLEXIBLE BEAM WITH TIME DELAY IN CONTROL

Active control method for the vibration reduction of flexible cantilever beam with time delay in control is investigated in this paper. The independent modal space control method is used as control strategy, in which modal control law is designed using discrete-time variable-structure control method. Extraction of modal variables from actual measurements and transform of actual control forces from modal control forces are discussed. Determination methods of discrete-time switching surface and variable-structure modal control law are presented. System stability is prone to be guaranteed by using the proposed control method due to the fact that the modal control law is designed directly from time-delay differential equation. Simulation results demonstrate that the control method proposed is effective in reducing the vibration of the beam. System instability may possibly occur if the control law designed in the case of no time delay is used for the control system with time delay.