A discrete approach to the control and synchronization of a class of chaotic oscillators

Author

Gonzalez, Jesus ; Femat, Ricardo ; Alvarez-Ramirez, Jose ; Aguilar, Ricardo ; Barron, Miguel

Author_Institution

Div. de Ciencias Basicas e Ingenieria, Univ. Autonoma Metropolitana, Mexico City, Mexico

Volume

46

Issue

9

fYear

1999

fDate

9/1/1999 12:00:00 AM

Firstpage

1139

Lastpage

1144

Abstract

This work deals with the control and synchronization of chaotic systems. In the first part of the work, a general discrete-time strategy is developed to control a class of second-order uncertain nonlinear systems. The proposed strategy is based on an iterative procedure, borrowed from contraction map methodologies, and provides estimates of unmeasured states and modeling errors. Nonidentical chaotic systems can be synchronized by means of the proposed strategy. By assuming that the exact model of the oscillators is not known and that position is the only state available for measurements, the robust synchronization scheme comprises a recursive feedback-control law. Computer simulations are provided to illustrate the operation of the designed synchronization scheme

Keywords

chaos; chaos generators; closed loop systems; discrete time systems; feedback; iterative methods; nonlinear systems; oscillators; stability; synchronisation; chaotic oscillators; contraction map methodologies; control; discrete-time strategy; iterative procedure; modeling errors estimation; nonidentical chaotic systems; recursive feedback-control law; robust synchronization scheme; second-order uncertain nonlinear systems; synchronization; unmeasured states estimation; Chaos; Computer errors; Control systems; Iterative methods; Nonlinear control systems; Nonlinear systems; Oscillators; Position measurement; Robustness; State estimation;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.788816

Filename

788816