识别传递函数参数的最小绝对值法

TRANSFER FUNCTION PARAMETER ESTIMATION USING LEAST-ABSOLUTE VALUE TECHNIQUE

利用线性振动系统的传递函数可正确识别出振动系统的模态参数。用最小二乘法通过实测频响特性的数据求传递函数时，当频响特性的量测误差呈非高斯分布，则识别出的参数是有偏的。为此，本文用最小绝对值误差方法导出识别传递函数参数的新方法，并通过算例来验证它的有效性。

This paper presents a new algorithm to estimate parameters of transfer functions.The algorithm developed is based on the least absolute value approximation of l1-norm. By using this technique, there is no need of iteration operation to obtain the estimation. In an example, the results obtained using the proposed algorithm with those obtained using the least-square error algorithm are compared.