Signal Transmission by Sampled-time Adaptive Synchronization of Time-varying Chaotic Systems

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Signal Transmission by Sampled-time Adaptive Synchronization of Time-varying Chaotic Systems. / Fradkov, Alexander L.; Andrievsky, Boris.

в: IFAC-PapersOnLine, Том 55, № 12, 2022, стр. 695-700.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

BibTeX

@article{45453358318a4cbb875496b51066ea2e,

title = "Signal Transmission by Sampled-time Adaptive Synchronization of Time-varying Chaotic Systems",

abstract = "In the paper, the adaptive synchronization problem is studied for a class of time-varying nonlinear systems. The only assumption imposed is the boundedness of the rate of change of the controlled system parameters, while the initial uncertainty can be quite large. The adaptation algorithms in the discrete-time form are derived based on adaptive control of nonlinear time-varying systems with an explicit reference model. As the result, the estimate of the limiting deviation of the solution of the closed-loop system from that of the reference model was obtained. It is shown that with sufficiently slow changes in the parameters and a small initial uncertainty, the limiting error in the system can be made arbitrarily small despite a possibly big range of system parameter values. The systems based on a direct approach are considered. The procedure for the synthesis of a sampled-time adaptive controller and analysis of the synthesized system is illustrated by an example of the signal transmission system. The results obtained allow one to build and analyze a wide class of adaptive systems with reference models under time-varying conditions.",

keywords = "chaotic modulation control, implicit reference model, information transmission, nonlinear systems, passification, time-varying systems",

author = "Fradkov, {Alexander L.} and Boris Andrievsky",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.. All rights reserved.; 14th IFAC Workshop on Adaptive and Learning Control Systems, ALCOS 2022 ; Conference date: 29-06-2022 Through 01-07-2022",

year = "2022",

doi = "10.1016/j.ifacol.2022.07.393",

language = "English",

volume = "55",

pages = "695--700",

journal = "IFAC-PapersOnLine",

issn = "2405-8971",

publisher = "Elsevier",

number = "12",

}

RIS

TY - JOUR

T1 - Signal Transmission by Sampled-time Adaptive Synchronization of Time-varying Chaotic Systems

AU - Fradkov, Alexander L.

AU - Andrievsky, Boris

PY - 2022

Y1 - 2022

N2 - In the paper, the adaptive synchronization problem is studied for a class of time-varying nonlinear systems. The only assumption imposed is the boundedness of the rate of change of the controlled system parameters, while the initial uncertainty can be quite large. The adaptation algorithms in the discrete-time form are derived based on adaptive control of nonlinear time-varying systems with an explicit reference model. As the result, the estimate of the limiting deviation of the solution of the closed-loop system from that of the reference model was obtained. It is shown that with sufficiently slow changes in the parameters and a small initial uncertainty, the limiting error in the system can be made arbitrarily small despite a possibly big range of system parameter values. The systems based on a direct approach are considered. The procedure for the synthesis of a sampled-time adaptive controller and analysis of the synthesized system is illustrated by an example of the signal transmission system. The results obtained allow one to build and analyze a wide class of adaptive systems with reference models under time-varying conditions.

AB - In the paper, the adaptive synchronization problem is studied for a class of time-varying nonlinear systems. The only assumption imposed is the boundedness of the rate of change of the controlled system parameters, while the initial uncertainty can be quite large. The adaptation algorithms in the discrete-time form are derived based on adaptive control of nonlinear time-varying systems with an explicit reference model. As the result, the estimate of the limiting deviation of the solution of the closed-loop system from that of the reference model was obtained. It is shown that with sufficiently slow changes in the parameters and a small initial uncertainty, the limiting error in the system can be made arbitrarily small despite a possibly big range of system parameter values. The systems based on a direct approach are considered. The procedure for the synthesis of a sampled-time adaptive controller and analysis of the synthesized system is illustrated by an example of the signal transmission system. The results obtained allow one to build and analyze a wide class of adaptive systems with reference models under time-varying conditions.

KW - chaotic modulation control

KW - implicit reference model

KW - information transmission

KW - nonlinear systems

KW - passification

KW - time-varying systems

UR - http://www.scopus.com/inward/record.url?scp=85137155196&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2022.07.393

DO - 10.1016/j.ifacol.2022.07.393

M3 - Conference article

AN - SCOPUS:85137155196

VL - 55

SP - 695

EP - 700

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 12

T2 - 14th IFAC Workshop on Adaptive and Learning Control Systems, ALCOS 2022

Y2 - 29 June 2022 through 1 July 2022

ER -

ID: 99633444