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Filtering based recursive least squares identification for non-uniformly sampled systems

机译:非均匀采样系统的基于滤波的递归最小二乘辨识

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In this paper, a filtering based recursive least squares algorithm is derived for identification of the no-nuniformly sampled Box-Jenkins systems. The basic idea is to use an estimated noise transfer function to filter the input-ouput data, to obtain two identification models containing the parameters of the system model and the noise model respectively, and to present the filtering based recursive least squares method to identify the parameters of these two models, by replacing the unmeasurable terms in the information vectors with their estimates. Finally, an illustrative example is given to indicate that the proposed algorithm can generate more accurate parameter estimation compared with the auxiliary model based recursive generalized extended least squares algorithm.
机译:本文提出了一种基于滤波的递归最小二乘算法,用于识别非均匀采样的Box-Jenkins系统。基本思想是使用估计的噪声传递函数对输入数据进行滤波,获得分别包含系统模型和噪声模型参数的两个识别模型,并提出基于滤波的递归最小二乘法来识别输入数据。这两个模型的参数,方法是将信息向量中不可测量的项替换为其估计值。最后,给出了一个说明性示例,表明与基于辅​​助模型的递归广义扩展最小二乘算法相比,所提出的算法可以生成更准确的参数估计。

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