Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第47回ISCIE「確率システム理論と応用」国際シンポジウム(2015年12月, ホノルル)
Frequency Domain Uncertainty in PO-MOESP Method
Kenji Ikeda
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ジャーナル フリー

2016 年 2016 巻 p. 104-111

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This paper provides an estimation method of the uncertainty of the pulse transfer function from the covariance matrices of the estimates of the vectorized system matrices in PO-MOESP method, in which Kalman gain and the covariance of the innovations process are consistently estimated by using the previously proposed method by the author. In the conventional methods, the estimates of Kalman gain and the covariance of the innovations process are asymptotically consistent, i.e., the estimates converges in probability to the true value as not only the data length but also the past horizon go to infinity. The contribution of the paper is to provide a consistent estimate of the frequency domain uncertainty for fixed past/future horizons.
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© 2016 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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