自适应滤波算法在板结构振动控制中的应用

The Application of Adaptive Filtering Theory in Active Control of Structural Vibration

以简支板为模型,运用模态分析方法推导并分析讨论结构振动主动控制的基本原理和方法。在此基础上,以时域振速为控制目标,对板进行振动控制建模,分别采用滤波-X最小均方算法(FxLMS)和格型联合估计滤波器与基于QR分解的最小二乘格型(QRD-LSL)自适应滤波算法相结合的振动控制方法来进行实时的振动主动控制。研究算法中相关参数和控制力位置对控制效果的影响,对两种自适应滤波算法的控制效果进行对比。仿真结果表明,两种算法都能有效控制板结构的振动,QRD-LSL自适应滤波算法的控制效果更优,其相对于FxLMS算法虽计算量有所增加,但收敛速度快,稳态误差小,跟踪性能好。

Using a hinged plate as model, the basic principle and method of active control on structural vibration are derived by using the mode superposition method. On this basis, the vibration control model of the plate was built to decrease the vibration velocity in the time domain. Filter-X LMS algorithm （FxLMS） and lattice estimation filter combined with least squares adaptive filtering algorithm based on QR decomposition （QRD-LSL） for vibration control method were used to real-time active vibration control. The influence of the relative parameters and the position of the control force on the control effect is studied, and the control effects of the two kinds of adaptive filtering algorithms are compared. The simulation results show that the two algorithms can effectively control the vibration of plate, the control effect of QRD-LSL is better than FxLMS, the computation is increased, but the convergence speed is fast, the steady-state error is small and the tracking performance is good.