Rizet N, Brissaud M, Gonnard P, Bera JC, Sunyach M
Laboratoire de Genie Electrique et Ferroelectricite, INSA Lyon, Villeurbanne, France.
J Acoust Soc Am. 2000 Apr;107(4):2061-7. doi: 10.1121/1.428488.
An active control system was developed to control the flexural vibrations of a beam with a modal filtering with only one secondary actuator. Segmented piezoelectric actuators and sensors were used for driving and sensing the bending beam vibrations. The primary actuator was fed by a broadband random disturbance signal in order to excite the first five modes of the structure. However, only the second to fifth modes were controlled. The control algorithm was implemented on a DSP board and the input and output signals were filtered using high order low pass filters. These filters, implemented on the DSP board avoid the degrading effect on the control performances of the higher order modes and which are not controlled. The modal filtering was achieved by computing. To this end, it is based on a previous identification procedure. This latter models, in one step, the dynamics of the structure and also the transfer function of the electronic circuits of the controller. The identified filtered modes were then used to compute the gain matrix using a LQR technique (linear quadratic regulator). Simulations of the active control were carried out and practical implementation of the control algorithms was performed. Experimental and simulation results were then compared and discussed.
开发了一种主动控制系统，用于通过仅使用一个次级致动器的模态滤波来控制梁的弯曲振动。采用分段压电致动器和传感器来驱动和感测梁的弯曲振动。主致动器由宽带随机干扰信号馈送，以激发结构的前五阶模态。然而，仅控制第二至第五阶模态。控制算法在DSP板上实现，输入和输出信号使用高阶低通滤波器进行滤波。在DSP板上实现的这些滤波器避免了对未被控制的高阶模态的控制性能产生降级影响。模态滤波通过计算实现。为此，它基于先前的识别过程。后者在一步中对结构的动力学以及控制器电子电路的传递函数进行建模。然后使用线性二次调节器（LQR）技术，利用识别出的滤波模态来计算增益矩阵。进行了主动控制的仿真，并执行了控制算法的实际实现。随后对实验和仿真结果进行了比较和讨论。
