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摘要

The emergence of subspace-based identification methods more than a decade ago has stimulated a lot of research and interest in the development, understanding and use of the new algorithms for the identification of both linear and nonlinear systems. The central goal of the first generation of subspace identification methods was the estimation or better the low-rank approximation of the column or row space of a matrix derived by linear projection from structured (block-Hankel) matrices filled with measurements taken from the system to be identified. This low-rank approximation is the key in deriving approximations of the system matrices of a state-space model.
机译:十多年前,基于子空间的识别方法的出现激发了对线性,非线性系统识别新算法的开发,理解和使用的大量研究和兴趣。第一代子空间识别方法的主要目标是估计或更好地对矩阵的列或行空间进行低秩近似,该近似或低阶近似是通过线性投影从结构化(块汉克)矩阵中导出的,矩阵中填充了从系统获取的测量值,被识别。这种低阶近似是推导状态空间模型的系统矩阵近似的关键。

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