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研究了具有线性参数的非线性多项式模型的数据阵L-D分解性质,其中D是对角阵,L是带有单位元素的下三角阵.结果表明,通过因子L可以估计出模型的参数,通过因子D可以选择模型中的项;提出了同时进行模型的结构确定和参数估计的递推辨识算法.该算法可用于船舶运动的实时建模.实际应用结果表明,该算法可以有效地辨识多项式等线性参数的非线性模型.
We study the L-D factorization of the data matrix of a nonlinear polynomial model with linear parameters, where D is a diagonal matrix and L is a lower triangular matrix with unit elements. The results show that the parameters of the model can be estimated by the factor L and the items of the model can be selected by the factor D. A recursive identification algorithm is proposed to determine the structure of the model and estimate the parameters simultaneously. The algorithm can be used for real-time modeling of ship motion. The practical application shows that this algorithm can effectively identify the nonlinear model of linear parameters such as polynomial.