State filtering and parameter estimation for state space systems with scarce measurements

This paper considers the state filtering and parameter estimation problems for state space systems with scarce output availability. When the scarce states are available, a least squares based algorithm and an observer based parameter estimation algorithm are developed to estimate the system paramete...

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Published in:	Signal processing Vol. 104; pp. 369 - 380
Main Author:	Ding, Feng
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.11.2014 Elsevier
Subjects:	Algorithms Applied sciences Availability Detection, estimation, filtering, equalization, prediction Estimates Exact sciences and technology Filtering Filtration Information, signal and communications theory Least squares method Missing data Observers Parameter estimation Recursive identification Signal and communications theory Signal processing Signal, noise State filtering Telecommunications and information theory Signal processing Missing data Recursive identification Parameter estimation State filtering Availability Performance evaluation Filtering State space State space method Algorithm Least squares method Observer Recursive method
ISSN:	0165-1684, 1872-7557
Online Access:	Get full text
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Abstract	This paper considers the state filtering and parameter estimation problems for state space systems with scarce output availability. When the scarce states are available, a least squares based algorithm and an observer based parameter estimation algorithm are developed to estimate the system parameter matrices and states. For the case with unknown states, a combined parameter estimation and state filtering algorithm is presented for canonical state space models, using the reconstructed states for the parameter estimation. Finally, an example is provided to test the effectiveness of the proposed algorithms. •State and parameter estimation problems are studied for state space systems.•A least squares based and an observer based estimation algorithms are developed.•A combined parameter estimation and state filtering algorithm is presented.
AbstractList	This paper considers the state filtering and parameter estimation problems for state space systems with scarce output availability. When the scarce states are available, a least squares based algorithm and an observer based parameter estimation algorithm are developed to estimate the system parameter matrices and states. For the case with unknown states, a combined parameter estimation and state filtering algorithm is presented for canonical state space models, using the reconstructed states for the parameter estimation. Finally, an example is provided to test the effectiveness of the proposed algorithms. This paper considers the state filtering and parameter estimation problems for state space systems with scarce output availability. When the scarce states are available, a least squares based algorithm and an observer based parameter estimation algorithm are developed to estimate the system parameter matrices and states. For the case with unknown states, a combined parameter estimation and state filtering algorithm is presented for canonical state space models, using the reconstructed states for the parameter estimation. Finally, an example is provided to test the effectiveness of the proposed algorithms. •State and parameter estimation problems are studied for state space systems.•A least squares based and an observer based estimation algorithms are developed.•A combined parameter estimation and state filtering algorithm is presented.
Author	Ding, Feng
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Keywords	Signal processing Missing data Recursive identification Parameter estimation State filtering Availability Performance evaluation Filtering State space State space method Algorithm Least squares method Observer Recursive method
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Snippet	This paper considers the state filtering and parameter estimation problems for state space systems with scarce output availability. When the scarce states are...
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SubjectTerms	Algorithms Applied sciences Availability Detection, estimation, filtering, equalization, prediction Estimates Exact sciences and technology Filtering Filtration Information, signal and communications theory Least squares method Missing data Observers Parameter estimation Recursive identification Signal and communications theory Signal processing Signal, noise State filtering Telecommunications and information theory
Title	State filtering and parameter estimation for state space systems with scarce measurements
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