一种MIMO非高斯振动的逆多步预测法

为了实现多输入多输出(multi-input-multi-output,简称MIMO)非高斯振动试验控制,提出了一种MIMO非高斯振动逆多步预测法。首先,该方法基于广义高斯分布构造零记忆非线性变换,并使用该变换生成非高斯参考信号;其次,推导系统的逆多步预测模型,将参考信号作为该模型的输入,生成试验所需的驱动信号;然后,在控制过程中分别根据控制点的功率谱密度和峭度与相应控制目标之间的误差,对参考非高斯信号进行调整,并利用逆多步预测模型对驱动信号进行更新,以实现非高斯振动控制;最后,进行三轴振动台试验。试验结果表明,该方法对功率谱与峭度都取得了良好的控制效果,验证了其可行性。

Inverse Multistep Prediction Method for MIMO Non-Gaussian Vibration Test

In order to achieve multi-input-multi-output (MIMO) non-Gaussian vibration test control, an inverse multi-step prediction method for MIMO non-Gaussian vibration is proposed. This method constructs a zero memory nonlinear transformation based on the generalized Gaussian distribution, and generates non-Gaussian reference signals from the transformation. The inverse multi-step prediction model of the system is derived, and then the reference signals are used as the inputs of the model to generate the driving signals. In the control process, the reference non Gaussian signals are adjusted according to the error between estimated power spectral density and kurtosis of the control point and their reference values. And the driving signals are updated by using the inverse multi-step prediction model, thus achieving MIMO non Gaussian vibration control. Finally, a three-axis shaking table test is carried out. The test results show that the proposed method has good control results in both the power spectrum and kurtosis, thus its feasibility is verified.