Finite-Time Observers: Application to Secure Communication

Author

Perruquetti, Wilfrid ; Floquet, Thierry ; Moulay, Emmanuel

Author_Institution

Unite Mixte de Rech., Centre Nat. de la Rech. Sci., Villeneuve-d´´Ascq

Volume

53

Issue

1

fYear

2008

Firstpage

356

Lastpage

360

Abstract

In this paper, control theory is used to formalize finite-time chaos synchronization as a nonlinear finite-time observer design issue. This paper introduces a finite-time observer for nonlinear systems that can be put into a linear canonical form up to an output injection. The finite-time convergence relies on the homogeneity properties of nonlinear systems. The observer is then applied to the problem of secure data transmission based on the finite-time chaos synchronization and the two-channel transmission method.

Keywords

chaos; convergence; nonlinear control systems; observability; synchronisation; telecommunication control; telecommunication security; control theory; convergence; finite-time chaos synchronization; nonlinear finite-time observer design; secure communication; secure data transmission; two-channel transmission method; Chaotic communication; Continuous time systems; Control systems; Control theory; Convergence; Cryptography; Data communication; Delay; Nonlinear systems; Observers; Finite-time observers; finite-time synchronization; secure communication; two-channel transmission;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2007.914264

Filename

4459812