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Avtomatika i Telemekhanika, 2018, Issue 12, Pages 71–82
DOI: https://doi.org/10.31857/S000523100002858-7 (Mi at15224) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Stochastic Systems

Identification of piecewise linear parameters of regression models of non-stationary deterministic systems

Jian Wanga, Tuan Le Vangb, A. A. Pyrkinb, S. A. Kolyubinb, A. A. Bobtsovb

a Hangzhou Dianzi University, Hangzhou, China
b ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia
Full-text PDF (1872 kB) Citations (10)
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DOI: https://doi.org/10.31857/S000523100002858-7
Abstract: We consider the problem of identifying unknown nonstationary piecewise linear parameters for a linear regression model. A new algorithm is proposed that allows, in the case of a number of assumptions on the elements of the regressor, to provide an estimate of unknown non-stationary parameters. We analyze in detail the case with two unknown parameters, which makes it possible to understand the main idea of the proposed approach. We also consider a generalization to the case of an arbitrary number of parameters. We give an example of computer simulation that illustrates the efficiency of the proposed approach.
Keywords: identification, sensorless control, biomechatronic systems, linear regression model, dynamic regressor expansion.
Funding agency Grant number
Russian Science Foundation 17-79-20341
The study was supported by the Russian Science Foundation, project no. 17-79-20341.
Presented by the member of Editorial Board: A. V. Nazin

Received: 26.07.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 12, Pages 2159–2168
DOI: https://doi.org/10.1134/S0005117918120068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Jian Wang, Tuan Le Vang, A. A. Pyrkin, S. A. Kolyubin, A. A. Bobtsov, “Identification of piecewise linear parameters of regression models of non-stationary deterministic systems”, Avtomat. i Telemekh., 2018, no. 12, 71–82; Autom. Remote Control, 79:12 (2018), 2159–2168
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2018/i12/p71
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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