Recursive least squares estimation with rank two updates

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Bibliographic Details
Title: Recursive least squares estimation with rank two updates
Authors: Stotsky, Alexander, 1960
Source: Automatika. 66(4):619-624
Subject Terms: Forgetting and windowing, rank two update versus rank one update, updating and downdating, wave form distortion monitoring for smart grids, estimation of the inverse of the information matrix and unknown parameters via RLS algorithms, RLSR2 (recursive least squares with rank two update)
Description: This paper presents new recursive least squares (RLS) algorithms with enhanced performance, achieved via a combination of exponential forgetting and windowing techniques. The proposed algorithms with rank two updates are systematically aligned with established RLS algorithms with rank one updates to ensure unification and clarity. Newly identified properties of the recursive algorithms, associated with the convergence of both the inverse of the information matrix and the parameter estimates which are presented in this paper, offer great potential for further enhancement of the estimation performance. The proposed algorithms demonstrate significant improvements in the estimation of the grid events in the presence of substantial harmonic emissions.
File Description: electronic
Access URL: https://research.chalmers.se/publication/547561
https://research.chalmers.se/publication/547561/file/547561_Fulltext.pdf
Database: SwePub
Description
Abstract:This paper presents new recursive least squares (RLS) algorithms with enhanced performance, achieved via a combination of exponential forgetting and windowing techniques. The proposed algorithms with rank two updates are systematically aligned with established RLS algorithms with rank one updates to ensure unification and clarity. Newly identified properties of the recursive algorithms, associated with the convergence of both the inverse of the information matrix and the parameter estimates which are presented in this paper, offer great potential for further enhancement of the estimation performance. The proposed algorithms demonstrate significant improvements in the estimation of the grid events in the presence of substantial harmonic emissions.
ISSN:00051144
DOI:10.1080/00051144.2025.2517431