Adaptive synchronization of chaotic systems based on speed gradient method and passification

Author

Fradkov, Alexander L. ; Markov, A.Yu.

Author_Institution

Inst. for Problems of Mech. Eng., Acad. of Sci., St. Petersburg, Russia

Volume

44

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

905

Lastpage

912

Abstract

A problem of synchronizing two nonlinear multidimensional systems with unknown parameters is considered. Two general procedures for adaptive synchronization law design based on speed-gradient method are proposed. Conditions ensuring the synchronization are given. The second procedure is based on passification of error system (making it passive by feedback). The results are illustrated by examples: synchronizing a pair of Chua´s circuits and a pair of circuits with tunnel diodes. Computer simulation results confirming theoretical analysis are given

Keywords

Chua´s circuit; chaos; feedback; multidimensional systems; nonlinear network analysis; nonlinear systems; synchronisation; Chua´s circuits; adaptive synchronization; chaotic systems; feedback; nonlinear multidimensional systems; passification; speed gradient method; synchronization law design; tunnel diodes; unknown parameters; Adaptive control; Algorithm design and analysis; Chaos; Circuits; Control systems; Design methodology; Gradient methods; Output feedback; Programmable control; Vectors;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.633879

Filename

633879