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Bulletin of Abai KazNPU. Series of Physical and mathematical sciences
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Vol. 76 No. 4 (2021)

REFERENCE MODEL SELECTION OF THE ADAPTIVE CONTROL SYSTEM FOR AN OBJECT WITH SINGLE-INPUT AND SINGLE-OUTPUT

Published December 2021

160

149

M. Beisenbi+−
L. Gumilyov Eurasian National University, Nur-Sultan
А. Temirbek+−
L. Gumilyov Eurasian National University, Nur-Sultan
A. Maimurynova+−
L. Gumilyov Eurasian National University, Nur-Sultan
L. Gumilyov Eurasian National University, Nur-Sultan
L. Gumilyov Eurasian National University, Nur-Sultan
L. Gumilyov Eurasian National University, Nur-Sultan
DOI: 10.51889/2021-4.1728-7901.02
Abstract

One of the most promising ways to solve the problem of control in the conditions of uncertainty of the characteristics of the control object and external influences is the use of adaptation methods. The article proposes to investigate the asymptotic robust stability of the reference model with the desired dynamics, using the gradient-velocity method of the Lyapunov vector-function. Considering control systems as gradient systems, and Lyapunov functions as potential functions allowed us to develop a universal gradient-velocity method of the Lyapunov vector-function, which allows to investigate the aperiodic robust stability of the reference model by the desired dynamics.

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Keywords
adaptive control gradient-velocity method of the Lyapunov vector-function object with single-input and single-output
Language

English

How to Cite

[1]
Beisenbi, M., Temirbek А. and Maimurynova, A. 2021. REFERENCE MODEL SELECTION OF THE ADAPTIVE CONTROL SYSTEM FOR AN OBJECT WITH SINGLE-INPUT AND SINGLE-OUTPUT. Bulletin of Abai KazNPU. Series of Physical and mathematical sciences. 76, 4 (Dec. 2021), 15–20. DOI:https://doi.org/10.51889/2021-4.1728-7901.02.