柔性梁受迫振动时滞变结构控制的试验研究

EXPERIMENTAL STUDY OF VARIABLE STRUCTURE CONTROL IN TIME-DELAY FOR A FLEXIBLE BEAM UNDER FORCED VIBRATION

时滞反馈控制是一种利用时滞进行系统控制的策略,目前对该控制策略的研究多是在理论上进行探讨,少有试验研究报道.以受简谐激励的柔性悬臂梁为对象,开展时滞反馈控制的试验研究,给出了一个多时滞控制律的设计方法.首先给出悬臂梁系统含有时滞项的控制模态状态方程;然后对方程进行离散化和一种特殊的状态变量增广,得到形式上不含有时滞项的标准差分方程;最后使用离散变结构控制的方法设计控制律.试验中采用压电片作为作动器和外界激励,应变片作为传感器,分别考虑单时滞和双时滞的情况,通过试验验证了时滞反馈控制的可行性和有效性.

Delayed feedback control is a novel and effective strategy in time-delay system. This paper presents an experimental study of delayed feedback control with a flexible cantilever beam And develop a multiple time-delays controller. First, the system state equation with multiple time delays is discretized and transformed into a standard discrete form without explicit time delay by a particular augmenting for state variables. Second, a time-delay controller is designed using the variable structure control method. Furthermore, piezoelectric （PZT） patches are used as actuators and exciter, and foil gauges are used as sensors in the experiments with single and double time delays. The feasibility and efficiency of delayed feedback control method are verified both theoretically and experimentally.