A linear algorithm for the minimal realization problem in physical coordinates with a non-invertible output matrix

In this paper we present a linear algorithm that estimates some physical parameters of a continuous-time system, described by an analytical mathematical model, when not all the state variables can be measured. The algorithm starts from the well-known subspace methods and applies some linear transfor...

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Bibliographic Details
Published in:Linear algebra and its applications Vol. 644; pp. 149 - 171
Main Authors: Faccio, Chiara, Marcuzzi, Fabio
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Inc 01.07.2022
American Elsevier Company, Inc
Subjects:
Algorithms
Continuous time systems
Linear algebra
Linear transformations
LTI systems
Mathematical models
Minimal realization
Physical parameters estimation
Physical properties
Subspace identification
Subspace methods
37M99
Subspace identification
65F30
93B15
Minimal realization
LTI systems
93B20
93B30
Physical parameters estimation
15A29
ISSN:0024-3795, 1873-1856
Online Access:Get full text
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Summary:In this paper we present a linear algorithm that estimates some physical parameters of a continuous-time system, described by an analytical mathematical model, when not all the state variables can be measured. The algorithm starts from the well-known subspace methods and applies some linear transformations to recover, at least partially, the estimated model in physical coordinates. Some analytical investigations and numerical experiments are shown for this method, which has general application within linear time-invariant (LTI) dynamical systems.
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content type line 14
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2022.02.038