Synthesizing an adaptive control singleinput- singleoutput system for unstable and deterministic chaotic processes

M. A. Beisenbi; А. А. Аdilbayev; S. О. Аkhmetova; M. S. Tulenbayev; A. B. Kabanbayev

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Synthesizing an adaptive control singleinput- singleoutput system for unstable and deterministic chaotic processes

Author(s)

M. A. Beisenbi Eurasian National University after L. N. Gumilyov,,Kazakhstan

А. А. Аdilbayev Eurasian National University after L. N. Gumilyov,,Kazakhstan

S. О. Аkhmetova Eurasian National University after L. N. Gumilyov,,Kazakhstan

M. S. Tulenbayev Taraz Regional University after M. Kh.,Dulaty,Kazakhstan

A. B. Kabanbayev Taraz Regional University after M. Kh.,Dulaty,Kazakhstan

Abstract

The paper proposes a solution to the problem of synthesizing an adaptive control system from a reference model with the desired dynamics of unstable and deterministic chaotic processes in the class of “dovetail” catastrophes for single input-single output objects. The task of selecting a reference model with the desired dynamics, the synthesis of the main circuit, and the adaptation circuit are solved by the gradient-speed method of the Lyapunov vector functions. From the conditions of aperiodic robust stability of the reference model with the desired dynamics, the main control loop, and the generalized tunable object, tunable coefficients are calculated, and the control goal is achieved.

Publication Details

Page(s) 522-529

DOI DOI not available

Published Journal: ARPN Journal of Engineering and Applied Sciences, Volume: 18, Issue: 5, Year: 2023

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Keywords

scalar work, synthesis contour, system of inequalities, constant stability, deterministic chaos, invariant, catastrophe theories, dynamic systems, swallow, gradient system, static accuracy, Adaptive

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