Nonlinear Systems Modeling Based on Self-Organizing Fuzzy-Neural-Network With Adaptive Computation Algorithm

In this paper, a self-organizing fuzzy-neural-network with adaptive computation algorithm (SOFNN-ACA) is proposed for modeling a class of nonlinear systems. This SOFNN-ACA is constructed online via simultaneous structure and parameter learning processes. In structure learning, a set of fuzzy rules c...

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Veröffentlicht in:IEEE transactions on cybernetics Jg. 44; H. 4; S. 554 - 564
Hauptverfasser: Han, Honggui, Wu, Xiao-Long, Qiao, Jun-Fei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States IEEE 01.04.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Adaptation models
Adaptive computation algorithm
Algorithms
Computational modeling
Computer Simulation
Dynamical systems
Fuzzy
Fuzzy control
Fuzzy Logic
Fuzzy neural networks
Fuzzy set theory
Information Theory
Learning
Mathematical model
Mathematical models
modeling
Models, Neurological
Neural Networks (Computer)
Neurons
Nonlinear Dynamics
Nonlinear systems
relative mutual information
self-organizing fuzzy-neural-network
ISSN:2168-2267, 2168-2275, 2168-2275
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Zusammenfassung:In this paper, a self-organizing fuzzy-neural-network with adaptive computation algorithm (SOFNN-ACA) is proposed for modeling a class of nonlinear systems. This SOFNN-ACA is constructed online via simultaneous structure and parameter learning processes. In structure learning, a set of fuzzy rules can be self-designed using an information-theoretic methodology. The fuzzy rules with high spiking intensities (SI) are divided into new ones. And the fuzzy rules with a small relative mutual information (RMI) value will be pruned in order to simplify the FNN structure. In parameter learning, the consequent part parameters are learned through the use of an ACA that incorporates an adaptive learning rate strategy into the learning process to accelerate the convergence speed. Then, the convergence of SOFNN-ACA is analyzed. Finally, the proposed SOFNN-ACA is used to model nonlinear systems. The modeling results demonstrate that this proposed SOFNN-ACA can model nonlinear systems effectively.
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ISSN:2168-2267
2168-2275
2168-2275
DOI:10.1109/TCYB.2013.2260537