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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation
Joint Authors
Zhu, Bingjie
Luo, Yingting
Zhu, Yunmin
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We discuss the pseudo measurement methodwhich is one of the main approaches to equality-constrained state estimation for a dynamic system.
We demonstrate by the fundamental theory of Kalman filtering that reviewing the equality constraint as a pseudo measurement seems questionable.
The main reason is that the additional pseudo measurement is actually a constant here which cannot help to estimate the state.
More specifically, when the states in an unconstrained dynamic system model have already satisfied the equality constraint, the extraconstraint is obviously not necessary.
When the true equality-constrained states do not satisfy the unconstrained dynamic process equation, the effect of pseudo measurement is projectingthe estimate which is not optimal onto the constraint set.
However, since the performance of a projected estimate is also certainly influenced by its original estimate, we show through a numerical example that the pseudo measurement method is not always a good choice, especially when the process equation mismatch is large.
American Psychological Association (APA)
Zhu, Bingjie& Luo, Yingting& Zhu, Yunmin. 2015. New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1075147
Modern Language Association (MLA)
Zhu, Bingjie…[et al.]. New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1075147
American Medical Association (AMA)
Zhu, Bingjie& Luo, Yingting& Zhu, Yunmin. New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1075147
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075147