Title :
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
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;
Conference_Titel :
Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4778-1
DOI :
10.1109/ICSMC.1998.728192
