线性系统模态参数识别的递推子空间辨识方法

Recursive subspace identification method to estimate parameters of linear system

为了解决系统模型的在线辨识,一种用于线性时变系统辨识的递推子空间辨识方法,能够实现对系统状态空间模型的在线递推估计。通过应用阵列信号处理中的传播函数方法,代替了子空间辨识中的奇异值分解,得到一种基于传播函数方法的递推子空间算法。该算法避免了奇异值分解计算量大的缺点,可以有效地降低计算量。最后通过Ansys建立线性系统模型,仿真结果表明,该方法能够降低计算量并且能准确地辨识出线性系统的模态参数。

In order to realize the online identification of state-space models,a new recursive subspace identification method based on time-varying structural is proposed.This method used the relationship between subspace identification and array signal processing to adjust the propagator method.Propagator method for recursive subspace identification is developed to replace a singular value decomposition.This method is to circumvent the huge complexity of singular values in order to decrease computational complexity.Through the Ansys software establishment shell model with linear stiffness is used to testify,the simulation shows that it can decrease computational complexity and the efficiency estimate the modal parameter of linear system.