Adaptive Observer-Based Synchronization of Chaotic Systems With First-Order Coder in the Presence of Information Constraints

Author

Fradkov, Alexander L. ; Andrievsky, Boris ; Evans, Robin J.

Author_Institution

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

Volume

55

Issue

6

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

1685

Lastpage

1694

Abstract

We analyze the performance of an adaptive chaotic synchronization system under information constraints assuming that some system parameters are unknown and only the system output is measured. Such a problem was studied previously in the absence of information constraints based on an adaptive observer scheme, allowing for its use in message transmission systems. We provide analytical bounds for the closed-loop system performance (asymptotic synchronization error) and conduct a numerical case study for a typical chaotic system, namely the Chua circuit, in the presence of information constraints. It is shown that the time-varying quantizer with one-step memory provides a reasonable approximation of the minimum transmission rate for adaptive state estimation.

Keywords

Chua´s circuit; chaotic communication; closed loop systems; electronic messaging; state estimation; synchronisation; time-varying networks; Chua circuit; adaptive observer; adaptive state estimation; chaotic systems; closed-loop system; first-order coder; information constraints; message transmission; synchronization; time-varying quantizer; Adaptive observers; Channel coding; Chaos; Information rates; channel coding; chaos; information rates;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2008.916410

Filename

4432309