多轴振动试验控制的整型权函数法

研究了应用于多轴向多激励随机振动控制的H∞整型控制方法，并且针对在频响函数矩阵病态的频率点处，响应自谱和互谱超出工程预定参考谱目标的情况，分解设计了H∞整型加权矩阵，从而改进频响函数矩阵病态情况，并对系统进行算法解耦。然后用整型矩阵对驱动信号的傅氏谱进行修正，进入控制回路迭代运算。实验验证表明，用文中算法设计整型权函数矩阵并修正驱动信号，可以有效的改善响应自谱和互谱的控制效果，抑制某些频率点处频响函数的不良影响。

Method of loop-shaping weighting functions for multi-axis vibration test control

H∞ loop-shaping control method is proposed in the paper for the MEMA(Multi Exciter/Multi Axis) random vibration test. In practice, the response spectrums of the control points are always difficult to meet the reference ones at the frequencies where the frequency response function matrices are ill-conditioned. An H∞ pre- compensator is decomposed and designd for the controller. The conditions of the frequecy response fucntion matrices are improved and the controlled plant is decoupled by an algorithm. The Fourier spectrum of the drive signal is shaped by the compensator in the control loop to replace the original one. The experiment shows that with the present method in this paper, the drive singal is mended, the response spectrums of the control points are improved because the poor conditions of the frequency response function at specified frequencies are rejected.