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多输入多输出随机振动试验中,自功率谱和互功率谱都需要进行控制。在控制过程中,通过对参考谱矩阵作Cholesky分解可以得到一个下三角矩阵。下三角矩阵的对角元素(DELTM)在差分控制算法(DCA)存在出现负值的可能性,负值在物理上不可实现,会造成自功率谱控制的发散。比例均方根控制算法可以避免由DELTM的负值造成的控制发散,但是不能控制互功率谱。本文提出了一种新的矩阵幂次控制算法。在对自功率谱控制时,矩阵幂次控制算法可以保证DELTM恒大于零,同时也实现了对互功率谱的有效控制。本文对比分析了3种控制算法的特点,然后在三轴向振动台上,完成了三输入三输出随机振动控制试验,试验结果验证了矩阵幂次控制算法的有效性。
In the multi-input and multi-output random vibration test, self-power spectrum and cross-power spectrum need to be controlled. In the control process, a lower triangular matrix can be obtained by Cholesky decomposition of the reference spectral matrix. The diagonal element of the lower triangular matrix (DELTM) has the possibility of negative values in the DCA. Negative values are physically unrealizable, resulting in divergence from the power spectrum control. Proportional root mean square control algorithm can avoid the control divergence caused by the negative value of DELTM, but can not control the mutual power spectrum. In this paper, a new matrix power control algorithm is proposed. In the control of self-power spectrum, matrix power control algorithm can guarantee DELTM constant greater than zero, but also to achieve the effective control of the power spectrum. In this paper, the characteristics of three kinds of control algorithms are analyzed and compared. Then, the three-input-three-output stochastic vibration control experiment is completed on the triaxial vibration table. The experimental results verify the validity of the matrix power control algorithm.