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Subspace identification with moment matching
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DOI：10.1016/j.automatica.2018.10.002.png)
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摘要
En 中文
We propose a deterministic identification method that involves a priori information characterized as moments of a transfer function. The moments are expressed in terms of the solution to a Sylvester matrix equation. The Sylvester equation is incorporated with a conventional subspace identification method, and a problem for moment-constrained subspace identification is formulated. Since the identification problem is in a class of nonlinear optimization problems, it cannot be efficiently solved in numerical computation. Application of a change-of-variable technique reduces the problem to least squares optimization, and the solution provides a state-space model that involves the prespecified moments. Finally, the effectiveness of the proposed method is illustrated in numerical simulations. (C) 2018 Elsevier Ltd. All rights reserved.
Keyword:
System identification
Subspace method
Frequency-response characteristics
Least-squares method
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期刊
IF:
5.9
论文数:
1.2W
被引数:
5.2W
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