An algebraic observability approach to chaos synchronization by sliding differentiators

Author

Cannas, Barbara ; Cincotti, Silvano ; Usai, Elio

Author_Institution

Dept. of Electr. & Electron. Eng., Cagliari Univ., Italy

Volume

49

Issue

7

fYear

2002

fDate

7/1/2002 12:00:00 AM

Firstpage

1000

Lastpage

1006

Abstract

In this paper, an observability approach to the synchronization of chaotic and hyperchaotic systems is presented. The proposed method allows the reconstruction of a chaotic attractor from a scalar observable and its derivatives. The method is based on the concept of algebraic observability; hence, it is directly applicable to all chaotic algebraic systems. Moreover, it is shown that a sliding differentiator, derived by a second-order suboptimal control algorithm, can be used to reconstruct the time derivatives of the observable. This makes it possible to estimate the system state, i.e., chaos synchronization, in a finite time

Keywords

chaos; differentiation; nonlinear dynamical systems; observability; suboptimal control; synchronisation; variable structure systems; VSS approaches; algebraic observability approach; chaos synchronization; chaotic attractor; chaotic circuit; differential algebra; finite-time estimate; hyperchaotic systems; nonlinear time-invariant dynamic system; scalar observable; second-order suboptimal control algorithm; secure communication; sliding differentiator; subset of state variables; time derivatives; Algebra; Chaos; Chaotic communication; Circuits; Communication system control; Drives; Observability; Reproducibility of results; Signal processing; 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/TCSI.2002.800834

Filename

1016831