Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第34回ISCIE「確率システム理論と応用」国際シンポジウム(2002年10-11月, 福岡)
Subspace Identification for Errors-in-Variables Models using Schur Complement Approach
Y. TakeiH. NantoS. KanaeZ. J. YangK. Wada
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ジャーナル フリー

2003 年 2003 巻 p. 195-200

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In this paper, an interpretation of subspace-based identification methods with Schur complement approach is proposed. MOESP (MIMO output error state space model identification) algorithms are well known as an elementary subspace method. The extensions of the MOESP with instrumental variables (IV) have been proposed in literatures, which can be useful to solve the stochastic identification problems. Data product moments corresponding to the data matrix in the MOESP algorithms are used. Then we show that the IV extensions in the MOESP-based methods can be expressed as modifications of the data product moment, and it enable us to treat the MOESP-based algorithms under a same framework even if the errors-in-variables (EIV) problems are considered.
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© 2003 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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