A linear differential inequality approach to nonlinear observer design for chaotic synchronization

Author

Yaz, Edwin Engin ; Azemi, Asad

Author_Institution

Dept. of Electr. Eng., Arkansas Univ., Fayetteville, AR, USA

Volume

3

fYear

2001

fDate

2001

Firstpage

2509

Abstract

An observer design approach is introduced for a class of continuous-time nonlinear systems driven by finite energy disturbances. A Lyapunov-like technique is used in guaranteeing the uniform boundedness of the estimation error provided that a linear differential inequality holds. The new observer is applied to estimating the state of a nonlinear system that exhibits chaotic behavior in a synchronization scheme

Keywords

Lyapunov methods; continuous time systems; nonlinear control systems; observers; synchronisation; Lyapunov-like technique; chaotic behavior; chaotic synchronization; continuous-time nonlinear systems; estimation error; finite energy disturbances; linear differential inequality; linear differential inequality approach; nonlinear observer design; nonlinear system; observer design approach; synchronization scheme; uniform boundedness; Chaos; Chaotic communication; Estimation error; Master-slave; Nonlinear equations; Nonlinear systems; Observers; Riccati equations; State estimation; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946130

Filename

946130