Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第37回ISCIE「確率システム理論と応用」国際シンポジウム(2005年10月, 大阪茨木)
Sequential Updating of The Error Covariance Matrix in Subspace Identification for Time-varying System
Y. TakeiH. NantoS. KanaeZ.J. YangK. Wada
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ジャーナル フリー

2006 年 2006 巻 p. 107-112

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Recursive updating algorithms of error covariance matrices in subspace identification methods for time-varying systems are derived. The proposed algorithms can be applied to estimate the system parameters which are slowly time-varying. The algorithms are based on the fact that the subspace extraction amounts to computing singular value decomposition of the SC of the input submatrix in data product moments and the SC can be interpreted as the least squares residuals. We have proposed an unified framework for the MOESP type of the subspace identification method by using the SC. In this paper, we show the aforementioned time-varying case can be also treated in the proposed framework.
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© 2006 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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