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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation
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| Zeitschriftentitel: | Mathematical Problems in Engineering |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Mathematical Problems in Engineering, 2015, 2015, S. 1-6 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
| author_facet |
Zhu, Bingjie Luo, Yingting Zhu, Yunmin Zhu, Bingjie Luo, Yingting Zhu, Yunmin |
|---|---|
| author |
Zhu, Bingjie Luo, Yingting Zhu, Yunmin |
| spellingShingle |
Zhu, Bingjie Luo, Yingting Zhu, Yunmin Mathematical Problems in Engineering New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation General Engineering General Mathematics |
| author_sort |
zhu, bingjie |
| spelling |
Zhu, Bingjie Luo, Yingting Zhu, Yunmin 1024-123X 1563-5147 Hindawi Limited General Engineering General Mathematics http://dx.doi.org/10.1155/2015/946952 <jats:p>We discuss the pseudo measurement method which 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 extra constraint is obviously not necessary. When the true equality-constrained states do not satisfy the unconstrained dynamic process equation, the effect of pseudo measurement is projecting the 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.</jats:p> New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation Mathematical Problems in Engineering |
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Mathematical Problems in Engineering |
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| title |
New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
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New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
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new viewpoints about pseudo measurements method in equality-constrained state estimation |
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General Engineering General Mathematics |
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http://dx.doi.org/10.1155/2015/946952 |
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2015 |
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1-6 |
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<jats:p>We discuss the pseudo measurement method which 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 extra constraint is obviously not necessary. When the true equality-constrained states do not satisfy the unconstrained dynamic process equation, the effect of pseudo measurement is projecting the 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.</jats:p> |
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| author | Zhu, Bingjie, Luo, Yingting, Zhu, Yunmin |
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| description | <jats:p>We discuss the pseudo measurement method which 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 extra constraint is obviously not necessary. When the true equality-constrained states do not satisfy the unconstrained dynamic process equation, the effect of pseudo measurement is projecting the 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.</jats:p> |
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| spelling | Zhu, Bingjie Luo, Yingting Zhu, Yunmin 1024-123X 1563-5147 Hindawi Limited General Engineering General Mathematics http://dx.doi.org/10.1155/2015/946952 <jats:p>We discuss the pseudo measurement method which 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 extra constraint is obviously not necessary. When the true equality-constrained states do not satisfy the unconstrained dynamic process equation, the effect of pseudo measurement is projecting the 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.</jats:p> New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation Mathematical Problems in Engineering |
| spellingShingle | Zhu, Bingjie, Luo, Yingting, Zhu, Yunmin, Mathematical Problems in Engineering, New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation, General Engineering, General Mathematics |
| title | New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
| title_full | New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
| title_fullStr | New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
| title_full_unstemmed | New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
| title_short | New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
| title_sort | new viewpoints about pseudo measurements method in equality-constrained state estimation |
| title_unstemmed | New Viewpoints about Pseudo Measurements Method in Equality-Constrained State Estimation |
| topic | General Engineering, General Mathematics |
| url | http://dx.doi.org/10.1155/2015/946952 |