Partitioned estimators based on the perturbed kalman filter equations

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Abstract

In this paper, the generalized partitioned filter, predictor and smoother formulae for continuous time linear systems in which the partitioned initial states are mutually correlated are derived by using the perturbed Kalman filter equations. It is shown that the results obtained here are extensions of recent results (Lainiotis 1971, Ljung and Kailath 1977) to more general cases, and that the works of Lainiotis and Andrisani II (1979) can be approached without using the partition theorem based on the Bayes estimation theory. Finally, the bias correcting estimators are briefly discussed in order to show the applicability of the formulae.

Original languageEnglish
Pages (from-to)1115-1128
Number of pages14
JournalInternational Journal of Systems Science
Volume14
Issue number9
DOIs
Publication statusPublished - Sep 1983

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

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