Title
Consistency analysis and bias elimination of the Instrumental-Variable-based State Variable Filter method
Abstract
In this paper, we analyse the consistency of the Instrumental-Variable-based State Variable Filter (IVSVF) estimator by taking into account the intersample behaviour of the input and output signals. It is found that when only sampled input and output data are available for estimation, the IVSVF estimator is not consistent for any fixed sampling period due to the interpolation error that arises from constructing the filtered output. A Bias-Eliminated IVSVF (BEIVSVF) estimator is then proposed and shown to be consistent. The theoretical results developed in the paper are also discussed from a practical standpoint. Simulations are performed to verify the performance of the proposed method as well as to support the theoretical results.
Year
DOI
Venue
2022
10.1016/j.automatica.2022.110511
Automatica
Keywords
DocType
Volume
Consistency,Continuous-time system,Identification,Instrumental variable method
Journal
144
Issue
ISSN
Citations 
1
0005-1098
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Siqi Pan122.14
James S. Welsh2176.59
Rodrigo A. Gonzalez300.34
Cristian R. Rojas425243.97