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Consistency analysis and bias elimination of the Instrumental-Variable-based State Variable Filter method
Univ Newcastle, Sch Elect Engn & Comp, Callaghan, NSW 2308, Australia..
Univ Newcastle, Sch Elect Engn & Comp, Callaghan, NSW 2308, Australia..
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0002-5106-2784
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0003-0355-2663
2022 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 144, article id 110511Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 144, article id 110511
Keywords [en]
Consistency, Continuous -time system, Identification, Instrumental variable method
National Category
Communication Systems Other Physics Topics Computer Sciences
Identifiers
URN: urn:nbn:se:kth:diva-316729DOI: 10.1016/j.automatica.2022.110511ISI: 000837854100034Scopus ID: 2-s2.0-85135355983OAI: oai:DiVA.org:kth-316729DiVA, id: diva2:1691445
Note

QC 20220830

Available from: 2022-08-30 Created: 2022-08-30 Last updated: 2022-12-12Bibliographically approved

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González, Rodrigo A.Rojas, Cristian R.

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