A. I. Glushchenko, V. A. Petrov, K. A. Lastochkin, “I-DREM: relaxing the square integrability condition”, Avtomat. i Telemekh., 2021, Issue 7,Pages <nobr>147

This article is cited in 12 papers

Intellectual Control Systems, Data Analysis

I-DREM: relaxing the square integrability condition

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

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

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.

Keywords: linear regression, parameter identification, persistent excitation, initial excitation, square integrability, adaptive gain.

Presented by the member of Editorial Board: A. A. Bobtsov

Received: 28.10.2020
Revised: 09.12.2020
Accepted: 15.01.2021

DOI: 10.31857/S0005231021070084