基于速度-加速度时滞反馈的振动主动控制

在振动主动控制中,基于加速度测量信号,并考虑滤波器群时延引入的时滞,研究了一种时滞控制器设计方法。采用等维方法和状态导数反馈思想,提出一种速度-加速度时滞反馈控制器的设计方法。该控制器不含位移信号,可省去两次数值积分和去直流分量、趋势项这两个过程,并可避免由两次数值积分带来的累积误差。以粘帖有压电陶瓷和加速度传感器的智能梁为控制对象,采用该控制器控制其自由振动,并与速度-加速度反馈控制效果进行比较。仿真结果表明,当采用速度-加速度反馈直接控制时滞系统时,若时滞超出其稳定区间,该方法失效,而速度-加速度时滞反馈控制方法则具有良好的控制效果。

Time-Delayed Velocity-Acceleration Feedback for Active Vibration Control of Cantilever Beam

The design problem of the time-delayed controller with the measured acceleration signal is presented, which is used to neutralize the effect of the gro up delay induced by the low-pass filter on active vibration control systems. By means of the reduction method and the state-derivative feedback strategy, a time-delayed velocity-acceleration feedback controller is proposed without the inclusion of the displacement signal, so that the accumulation errors caused by twice integration of the acceleration signal can be avoided. The developed time delayed feedback controller is examined by the computer simulation, with a special focusing on the control performance of a cantilever beam with the piezoelectric actuator and the acceleration sensor. Simulation results demonstrate that the controller can effectively reduce the free vibration response of the intelligent cantilever beam, and compared with the velocity acceleration feedback controller, it has better control effects at different time delays.