Title :
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
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;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023973
