基于时频域滤波及频域广义整体最小二乘辨识的飞机颤振模态参数辨识

提出一套适用于噪声环境的飞机颤振模态参数辨识方法.为减小噪声对辨识结果的影响,首先设计了一种针对扫频激励的时频滤波器,利用扫频信号及其响应在时频域分布较为集中的特点,有效去除噪声,提高了试验数据的信噪比.为进一步提高辨识精度,提出了一种基于随机模型的频域广义最小二乘辨识算法.将噪声条件下的系统辨识问题转化为广义整体最小二乘问题,并采用线性的广义奇异值分解求解模型系数,避免了非线性优化的复杂计算.通过优化加权项,获得了接近极大似然估计的辨识效果.最后,通过试飞试验数据验证了方法的有效性.

Frequency-Domain GTLS Identification Combined with Time-Frequency Filtering for Flight Flutter Modal Parameter Identification

The aim of this paper is to present a new method for flight flutter modal parameter identification in noisy environment. This method employs a time frequency (TF) filter to reduce the noise before identification, which depends on the localization property of sweep excitation in TF domain. Then, a generalized total least square (GTLS) identification algorithm based on stochastic framework is applied to the enhanced data. System identification with noisy data is transformed into a generalized total least square problem, and the solution is carried out by the generalized singular value decomposition (GSVD) to avoid the intensive nonlinear optimization computation. A nearly maximum likelihood property can be achieved by ‘optimally’ weighted generalized total least square. Finally, the efficiency of the method is illustrated by means of flight test data.