A fluid dynamical approach to the control, synchronization and parameter identification of chaotic systems

Author

Crispin, Yechiel

Author_Institution

Dept. of Aerosp. Eng., Embry-Riddle Univ., Daytona Beach, FL, USA

Volume

3

fYear

2002

fDate

2002

Firstpage

2245

Abstract

A generalized method for the control, synchronization and parameter identification of chaos in systems governed by ordinary differential equations is developed. The method is based on the Lagrangian approach to the dynamics of a fluid particle in a flow field with an adaptive parameter identification algorithm. In order to validate the method, the synchronization algorithm is first applied to two chaotic systems with variable parameters. It is then applied to the suppression of chaos in a dynamical system with one positive Lyapunov exponent by controlling an accessible parameter of the chaotic system.

Keywords

Lyapunov methods; chaos; differential equations; parameter estimation; time-varying systems; adaptive parameter identification; chaos suppression; chaotic systems; control; dynamics; flow field; fluid dynamical approach; fluid particle; ordinary differential equations; positive Lyapunov exponent; synchronization; Aerodynamics; Chaos; Chaotic communication; Control systems; Differential equations; Fluid dynamics; Fluid flow control; Hydrodynamics; Lagrangian functions; Parameter estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1023973

Filename

1023973