Domain decomposition for the fuzzy modeling of dynamic systems with periodic forced oscillations

Author

Applebaum, Ellen

Author_Institution

Dept. of Math., Colorado Univ., Denver, CO, USA

Volume

2

fYear

1998

fDate

11-14 Oct 1998

Firstpage

2008

Abstract

This paper extends a product-space clustering algorithm for the fuzzy modeling of a chaotic regime of the periodically perturbed pendulum. Domain decomposition of the state space reduces the computational complexity of the algorithm and creates a temporal ordering of fuzzy rules. A functional decomposition of these rules becomes the model of an indirect adaptive fuzzy controller. The controller successfully trains the chaotic pendulum to follow a periodic reference trajectory

Keywords

adaptive control; computational complexity; cranes; fuzzy control; modelling; nonlinear control systems; nonlinear dynamical systems; pendulums; state-space methods; chaotic regime; computational complexity; domain decomposition; dynamic systems; functional decomposition; fuzzy modeling; fuzzy rules; indirect adaptive fuzzy controller; periodic forced oscillations; periodic reference trajectory; periodically perturbed pendulum; product-space clustering algorithm; state space; temporal ordering; Chaos; Clustering algorithms; Computational complexity; Cranes; Fuzzy systems; Marine vehicles; Mathematics; Parameter estimation; Round robin; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on

Conference_Location

San Diego, CA

ISSN

1062-922X

Print_ISBN

0-7803-4778-1

Type

conf

DOI

10.1109/ICSMC.1998.728192

Filename

728192