Title :
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
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;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707351
