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I-DREM: Relaxing the Square Integrability Condition

  • INTELLECTUAL CONTROL SYSTEMS, DATA ANALYSIS
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Abstract

This study deals with relaxing the regressor square integrability condition \(\omega (t)\notin \mathrm {L}_{2} \) in the DREM procedure so as to ensure the monotone asymptotic convergence of the parametric error in the problem of estimating constant parameters of a linear regression dependence.

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Notes

  1. The filter is an integrator with exponential reduction of the contribution of new terms, and hence we refer to the procedure obtained in this paper as I-DREM.

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Funding

This work was financially supported by the Russian Foundation for Basic Research, project no. 18-47-310003 r_a.

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Authors and Affiliations

  1. Ugarov Staryi Oskol Technological Institute, Branch of National University of Science and Technology “MISiS”, Staryi Oskol, Belgorod oblast, 309516, Russia

    A. I. Glushchenko, V. A. Petrov & K. A. Lastochkin

Authors
  1. A. I. Glushchenko
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  2. V. A. Petrov
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  3. K. A. Lastochkin
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Corresponding authors

Correspondence to A. I. Glushchenko, V. A. Petrov or K. A. Lastochkin.

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Translated by V. Potapchouck

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Glushchenko, A.I., Petrov, V.A. & Lastochkin, K.A. I-DREM: Relaxing the Square Integrability Condition. Autom Remote Control 82, 1233–1247 (2021). https://doi.org/10.1134/S0005117921070079

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  • DOI: https://doi.org/10.1134/S0005117921070079

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