Open AccessREFERENCE MODEL SELECTION OF THE ADAPTIVE CONTROL SYSTEM FOR AN OBJECT WITH SINGLE-INPUT AND SINGLE-OUTPUT
Author(s) -
Мamyrbek Beisenbi,
Aizhan Temirbek,
A. Maimurynova
Publication year - 2021
Publication title -
habaršy. fizika-matematika seriâsy
Language(s) - English
Resource type - Journals
ISSN - 1728-7901
DOI - 10.51889/2021-4.1728-7901.02
Subject(s) - control theory (sociology) , aperiodic graph , lyapunov function , reference model , adaptive control , stability (learning theory) , function (biology) , computer science , lyapunov redesign , object (grammar) , control lyapunov function , mathematics , lyapunov stability , control (management) , artificial intelligence , physics , nonlinear system , software engineering , combinatorics , quantum mechanics , machine learning , evolutionary biology , biology
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.