Firstly, a state space experimental model of flexible plate vibration system with some malfunction connection piezoelectric actuator pairs were identified by the multivariable identification theory. Based on the identified results, the canonical uncertain block diagonal matrix extraction method of malfunction actuators was designed by means of singular value decomposition of the input matrix and linear fraction transformation.At the same time, the residual modal was expressed by the low band filter, then considered the disturbance suppression and control gain constraint performance of the close-loop system, the virtual uncertainty was introduced to establish the μ-synthesis solution procedure. The test results show that when there is connection malfunction on the piezoelectric actuators, compared to the μ-synthesis control without considering the malfunction, the initial perturbation log attenuation ratio will be increased 3 times, so the performance robustness of the mixed uncertainty model of the flexible plate is solved effectively.

flexible structure, active vibration control, actuator driving force change, robust control

首先识别出黏贴压电作动器的柔性板振动控制系统的实验模型,接着提出了利用改变压电片对连接数量来模拟作动器驱动故障的方法。基于此,将驱动力变化带来的模型不确定性提取成正则不确定块对角阵,将剩余模态表示成高通滤波器,并引入虚拟不确定矩阵,从而构建出考虑外扰抑制和控制增益约束的μ综合控制器。实测结果表明,相对于一般的μ综合控制器,当出现压电片连接故障时,闭环系统在初始外扰下的对数衰减率增大了3倍。

柔性结构, 振动主动控制, 作动器故障, 鲁棒控制