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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Recursive prediction error algorithm for general full structure model

Authors: Liu, Xiaqi; Wang, Zhizhong; Xu, Junrong;

Recursive prediction error algorithm for general full structure model

Abstract

Summary: The quasi-Newton recursive prediction error identification method has properties such as fast convergence, unbiasedness, and numerical robustness. \textit{L. Ljung} [Automatica 17, 89-99 (1981; Zbl 0451.93064)] has proposed a fast calculation algorithm for the gain matrix in a full structure model with the same orders of polynomials. However, it seems that this algorithm is not applicable in practical use, because it can only be employed under a special assumption. In this paper, a fast calculation algorithm for the gain matrix L(t) with different orders of polynomials is deduced. The recursive prediction error algorithm can be easily used in on-line signal processing.

Keywords

numerical robustness, fast convergence, quasi-Newton recursive prediction error identification, on-line signal processing, System identification, Computational methods in systems theory

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