Analysis of chaotic physical systems and an algorithm for control

Author

Christensen, Scott R. ; Zohdy, Mohamed A.

Author_Institution

Dept. of Electr. & Syst. Eng., Oakland Univ., Rochester, MI, USA

Volume

3

fYear

1998

fDate

21-26 Jun 1998

Firstpage

1894

Abstract

Numerous engineering, physics, meteorology and biomedical systems can be classified as projecting chaotic behavior. This can occur naturally or as a result of the underlying mathematical dynamical equations. In this paper, we consider comprehensive analysis of typical physical systems from several performance viewpoints: the power spectrum, the embedding dimension, Lyapunov exponents, return maps and Poincare animation. A discussion of a modern control and prediction algorithm follows. Finally, a proposal is made for the laboratory construction of a device to coalesce the analysis, prediction and control schemes on realistic data

Keywords

chaos; nonlinear control systems; prediction theory; predictive control; Lyapunov exponents; Poincare animation; biomedical systems; chaotic physical system analysis; control algorithm; embedding dimension; engineering systems; mathematical dynamical equations; meteorology systems; physics systems; power spectrum; return maps; Algorithm design and analysis; Animation; Biomedical engineering; Chaos; Control systems; Equations; Meteorology; Performance analysis; Physics; Power engineering and energy;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.707351

Filename

707351