An equivalent stochastic system model for control of chaotic dynamics

Author

Wu, Q.H. ; Cao, Y.J.

Author_Institution

Dept. of Electr. Eng. & Electron., Liverpool Univ., UK

Volume

3

fYear

1995

fDate

13-15 Dec 1995

Firstpage

2898

Abstract

This paper investigates an equivalence relation between chaotic and stochastic systems, and presents an equivalent stochastic system model and a learning control strategy for control of chaotic dynamics. The equivalency in invariant measure and ergodicity between the two systems is defined. Based on the definition, the equivalence relation is studied and the equivalent stochastic system model of the chaotic system is derived analytically. The concept of the equivalency can be used to achieve system reconstruction using time series of chaotic systems and to develop the learning control strategy for control of chaotic dynamics

Keywords

chaos; dynamics; feedback; intelligent control; nonlinear dynamical systems; predictive control; probability; stochastic systems; time series; chaotic dynamics; chaotic system; equivalence relation; equivalency; ergodicity; feedback; invariant measure; learning control; nonlinear dynamical systems; probability distribution; stochastic system model; time series; Aerodynamics; Chaos; Control system analysis; Control system synthesis; Control systems; Extraterrestrial measurements; Feedback; Orbits; Power engineering and energy; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.478582

Filename

478582