飞机颤振模态参数辨识的频域广义整体最小二乘算法

采用一种适用于噪声环境的广义整体最小二乘算法，准确地辨识飞机的颠振模态参数．该算法结合有理传递函数模型，将带噪系统的辨识问题转化为广义整体最小二乘问题．利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．通过迭代法更新加权项，获得了接近于极大似然估计的辨识效果．最后利用试飞试验数据辨识飞机的模态参数，验证了该方法的有效性．

Generalized Total Least Squares in Frequency Domain for Aircraft Flutter Modal Parameter Identification

A generalized total least square algorithm in frequency domain is adopted for aircraft flutter modal parameter identification under noisy environment. Combing with a rational transfer function model, the identification of black box system with noisy data is transformed into of a generalized total least square problem, and the solution is solved by generalized singular value decomposition to avoid the complex nonlinear optimization. A nearly maximum likelihood properties can be achieved by updating weighted iterative generalized total least squares. The simulation with real flight test data shows the efficiency of the algorithm.